Show that the maximum and minimum values of the function `(x+1)^2/(x+3)^3` are respectively given by `2/27 and 0.`

Show that the maximum and minimum values of the function `(x+1)^2/(x+3)^3` are respectively given by `2/27 and 0.`
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Show that the maximum and minimum values of the function `(x+1)^2/(x+3)^3` are respectively given by `2/27 and 0.`
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Select the correct statement. (A) More the value of group index, less thickness of pavement will be required (B) More the value of CBR, greater thickness of pavement will be required (C) Minimum and maximum values of group index can be 0 and 20 respectively (D) All of the above

Description : Select the correct statement. (A) More the value of group index, less thickness of pavement will be required (B) More the value of CBR, greater thickness of pavement will be required (C) Minimum and maximum values of group index can be 0 and 20 respectively (D) All of the above

Last Answer : Answer: Option C

Find the maximum and minimum values of the function `f(x) = (sin x)/(1+ tan x) ,(0 lt x lt 2pi)`.

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For what values of x, the function `f(x) = x^(5)-5x^(4)+5x(3)-1` is maximum or minimum? Prove that at x = 0, the function is neither maximum nor minim

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If the function `y = ae^(x) + bx^(2)+3x` is maximum at x = 0 and minimum at x = - 3, then find the values of a and b.

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Last Answer : (C) 62.5 person months 

Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.

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Find the range of values of x which satisfy x^2 + 6x – 27 > 0, –x^2 + 3x + 4 > 0 simultaneously. -Maths 9th

Description : Find the range of values of x which satisfy x^2 + 6x – 27 > 0, –x^2 + 3x + 4 > 0 simultaneously. -Maths 9th

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Find the maximum or minimum values of the following functions: (i)`x^(3)-2x^(2)+x+3` (ii)` x^(3)-6x^(2)+9x+4` (iii) `(x+1)(x-2)^(2)+1` (iv) `2x^(3)-9x

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Find the values of x for which the following functions are maximum or minimum: (i) ` x^(3)- 3x^(2) - 9x ` (ii) ` 4x^(3)-15x^(2)+12x+1` (iii) ` 1-x-x^(

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In a Examination a candidate has to score minimum of 24 marks inorder to clear the exam. The maximum that he can score is 40 marks. Identify the Valid Equivalance values if the student clears the exam. A. 22,23,26 B. 21,39,40 C. 29,30,31 D. 0,15,22

Description : In a Examination a candidate has to score minimum of 24 marks inorder to clear the exam. The maximum that he can score is 40 marks. Identify the Valid Equivalance values if the student clears the exam. A. 22,23,26 B. 21,39,40 C. 29,30,31 D. 0,15,22

Last Answer : C. 29,30,31

Find the power of a wave given that the RMS value of E and H are 6 and 4.5 respectively. a) 24 b) 27 c) 29 d) 32

Description : Find the power of a wave given that the RMS value of E and H are 6 and 4.5 respectively. a) 24 b) 27 c) 29 d) 32

Last Answer : b) 27

What will be the values of x, m and n after execution of the following statements? Int x, m, n; m=10; n=15; x= ++m + n++; A) x=25, m=10, n=15 B) x=27, m=10, n=15 C) x=26, m=11, n=16 D) x=27, m=11, n=16

Description : What will be the values of x, m and n after execution of the following statements? Int x, m, n; m=10; n=15; x= ++m + n++; A) x=25, m=10, n=15 B) x=27, m=10, n=15 C) x=26, m=11, n=16 D) x=27, m=11, n=16

Last Answer : C) x=26, m=11, n=16

The values of a, b and c respectively for the expression f(x) = x^3 + ax^2 + bx + c, if f(1) = f(2) = 0 and f(4) = f(0) are : -Maths 9th

Description : The values of a, b and c respectively for the expression f(x) = x^3 + ax^2 + bx + c, if f(1) = f(2) = 0 and f(4) = f(0) are : -Maths 9th

Last Answer : f′(x)=3x2+2ax+6 f(x)⇒f′(x)≥0 3x2+2ax+6≥0 ⇒D≤0 4[a2−3b]≤0 a2≤3b ∴P=6×6×6(16)×6​=3616​=94​ Answer.

When voltage and current developed in an AC circuit reach their peak values at the same time, the power factor is _____________. A. lagging B. leading C. maximum D. minimum

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At the ends of a half-wave antenna, what values of current and voltage exist compared to the remainder of the antenna? A. Minimum voltage and minimum current B. Equal voltage and current C. Minimum voltage and maximum current D. Maximum voltage and minimum current.

Description : At the ends of a half-wave antenna, what values of current and voltage exist compared to the remainder of the antenna? A. Minimum voltage and minimum current B. Equal voltage and current C. Minimum voltage and maximum current D. Maximum voltage and minimum current.

Last Answer : D. Maximum voltage and minimum current.

Where do the maximum current and minimum voltage values on a resonant Hertz dipole exist? A. Center of the antenna B. Near the end of the antenna C. Near the center of the antenna D. Ends of the antenna

Description : Where do the maximum current and minimum voltage values on a resonant Hertz dipole exist? A. Center of the antenna B. Near the end of the antenna C. Near the center of the antenna D. Ends of the antenna

Last Answer : A. Center of the antenna

Suppose the function y and a fuzzy integer number around -4 for x are given as y=(x-3)2+2 Around -4={(2,0.3), (3,0.6), (4,1), (5,0.6), (6,0.3)} respectively. Then f(Around - 4) is given by: (A) {(2,0.6), (3,0.3), (6,1), (11,0.3)} (B) {(2,0.6), (3,1), (6,1), (11,0.3)} (C) {(2,0.6), (3,1), (6,0.6), (11,0.3)} (D) {(2,0.6), (3,0.3), (6,0.6), (11,0.3)}

Description : Suppose the function y and a fuzzy integer number around -4 for x are given as y=(x-3)2+2 Around -4={(2,0.3), (3,0.6), (4,1), (5,0.6), (6,0.3)} respectively. Then f(Around - 4) is given by: (A) {(2,0.6), (3,0.3), ... 6), (3,1), (6,0.6), (11,0.3)} (D) {(2,0.6), (3,0.3), (6,0.6), (11,0.3)}

Last Answer : (C) {(2,0.6), (3,1), (6,0.6), (11,0.3)}

The place which experiences minimum and maximum temperature of - 28.3°C and 15°C respectively is: [Railways 1995] (a) Srinagar (b) Shimla (c) Kullu (d) Leh shop.ssbcrack.com

Description : The place which experiences minimum and maximum temperature of - 28.3°C and 15°C respectively is: [Railways 1995] (a) Srinagar (b) Shimla (c) Kullu (d) Leh shop.ssbcrack.com

Last Answer : Ans: (d)

In case of a shell and tube heat exchanger, the minimum and maximum baffle spacing is respectively (where, D = inside diameter of the shell) (A) D/5 and D (B) D/2 and 2 D (C) D/4 and 2 D (D) D and 2 D

Description : In case of a shell and tube heat exchanger, the minimum and maximum baffle spacing is respectively (where, D = inside diameter of the shell) (A) D/5 and D (B) D/2 and 2 D (C) D/4 and 2 D (D) D and 2 D

Last Answer : (A) D/5 and D

In any good staircase, the maximum and minimum pitch respectively should be (A) 90° and 0° (B) 75° and 30° (C) 60° and 10° (D) 40° and 25°

Description : In any good staircase, the maximum and minimum pitch respectively should be (A) 90° and 0° (B) 75° and 30° (C) 60° and 10° (D) 40° and 25°

Last Answer : Option D

A circular shaft subjected to torsion undergoes a twist of 10in a length of 120 cm. If the maximum shear stress induced is limited to 1000 kg/cm2and if modulus of rigidity G = 0.8 x 106then the radius of the shaft should be (a) p/8 (b) p/27 (c) 18/p (d) 27/p

Description : A circular shaft subjected to torsion undergoes a twist of 10in a length of 120 cm. If the maximum shear stress induced is limited to 1000 kg/cm2and if modulus of rigidity G = 0.8 x 106then the radius of the shaft should be (a) p/8 (b) p/27 (c) 18/p (d) 27/p

Last Answer : (d) 27/p

When (x^3 – 2x^2 + px – q) is divided by (x^2 – 2x – 3), the remainder is (x – 6), What are the values of p and q respectively ? -Maths 9th

Description : When (x^3 – 2x^2 + px – q) is divided by (x^2 – 2x – 3), the remainder is (x – 6), What are the values of p and q respectively ? -Maths 9th

Last Answer : answer:

If the expression (px^3 + x^2 – 2x – q) is divisible by (x – 1) and (x + 1), then the values of p and q respectively are ? -Maths 9th

Description : If the expression (px^3 + x^2 – 2x – q) is divisible by (x – 1) and (x + 1), then the values of p and q respectively are ? -Maths 9th

Last Answer : Let f(x)=px3+x2−2x−q Since f(x) is divisible by (x−1) and (x+1) so x=1 and −1 must make f(x)=0. Therefore, p+1−2−q=0, i.e., p−q=1; and −p+1+2−q=0, i.e., p+q=3 Thus p=2 and q=1

If the values of 'C' and 'R' shown in the illustration were 1 microfarad and 100 kOhms respectively, at what listed time would 'C' be considered fully charged? EL-0086 A. 0.1 second B. 0.2 second C. 0.5 second D. 5 seconds

Description : If the values of 'C' and 'R' shown in the illustration were 1 microfarad and 100 kOhms respectively, at what listed time would 'C' be considered fully charged? EL-0086 A. 0.1 second B. 0.2 second C. 0.5 second D. 5 seconds

Last Answer : Answer: C

If the values of 'C' and 'R' shown in the illustration were 1 microfarad and 3 Megohms respectively, at what listed time would 'C' be considered fully charged? EL-0086 A. 0.33 second B. 3 seconds C. 6 seconds D. 15 seconds

Description : If the values of 'C' and 'R' shown in the illustration were 1 microfarad and 3 Megohms respectively, at what listed time would 'C' be considered fully charged? EL-0086 A. 0.33 second B. 3 seconds C. 6 seconds D. 15 seconds

Last Answer : Answer: D

If the values of C and R shown in the illustration were 1-microfarad and 3- Megohms respectively, which of the listed intervals would equal one 'time constant'? EL-0086 A. 0.33 second B. 3 seconds C. 6 seconds D. 15 seconds

Description : If the values of C and R shown in the illustration were 1-microfarad and 3- Megohms respectively, which of the listed intervals would equal one 'time constant'? EL-0086 A. 0.33 second B. 3 seconds C. 6 seconds D. 15 seconds

Last Answer : Answer: B

Cylindrical systems have the following scalar values respectively a) 1, ρ ,1 b) 1, 1, 1 c) 0,1,0 d) 1,0,0

Description : Cylindrical systems have the following scalar values respectively a) 1, ρ ,1 b) 1, 1, 1 c) 0,1,0 d) 1,0,0

Last Answer : a) 1, ρ ,1

If the volume of voids is equal to the volume of solids in a soil mass, then the values of porosity and voids ratio respectively are (A) 1.0 and 0.0 (B) 0.0 and 1.0 (C) 0.5 and 1.0 (D) 1.0 and 0.5

Description : If the volume of voids is equal to the volume of solids in a soil mass, then the values of porosity and voids ratio respectively are (A) 1.0 and 0.0 (B) 0.0 and 1.0 (C) 0.5 and 1.0 (D) 1.0 and 0.5

Last Answer : (C) 0.5 and 1.0

A cylindrical specimen of saturated soil failed under an axial vertical stress of 100kN/m² when it was laterally unconfmed. The failure plane was inclined to the horizontal plane at an angle of 45°. The values of cohesion and angle of internal friction for the soil are respectively (A) 0.5 N/mm² and 30° (B) 0.05 N/mm² and 0° (C) 0.2 N/mm² and 0° (D) 0.05 N/mm² and 45°

Description : A cylindrical specimen of saturated soil failed under an axial vertical stress of 100kN/m² when it was laterally unconfmed. The failure plane was inclined to the horizontal plane at an angle of 45°. The values of cohesion and angle of ... N/mm² and 0° (C) 0.2 N/mm² and 0° (D) 0.05 N/mm² and 45°

Last Answer : Answer: Option B

In a queue, the initial values of front pointer f rare pointer r should be ….. and …….. respectively. A) 0 and 1 B) 0 and -1 C) -1 and 0 D) 1 and 0

Description : In a queue, the initial values of front pointer f rare pointer r should be ….. and …….. respectively. A) 0 and 1 B) 0 and -1 C) -1 and 0 D) 1 and 0

Last Answer : B) 0 and -1

Minimum work in compressor is possible when the value of adiabatic index n is equal to  (a) 0.75  (b) 1  (c) 1.27  (d) 1.35  (e) 2.

Description : Minimum work in compressor is possible when the value of adiabatic index n is equal to  (a) 0.75  (b) 1  (c) 1.27  (d) 1.35  (e) 2.

Last Answer : Answer : b

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is: A.1 : 3 B.3 : 4 C.3 : 2 D.Data inadequate E.None of these

Description : Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and  they cross each other in 23 seconds. The ratio of their speeds is: A.1 : 3 B.3 : 4 C.3 : 2 D.Data inadequate E.None of these

Last Answer : Answer - C (3 : 2) Explanation - Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27x metres, and length of the second train = 17y metres. relative speed = total ... 23x + 23y = 27x + 17 y 27x-23x= 23 y-17y 4x=6y x/y=6/4=3/2= 3:2

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? A.27 7/9 m B.28 m C.29 m D.30 2/7 m E.None of these

Description : Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? A.27 7/9 m B.28 m C.29 m D.30 2/7 m E.None of these 

Last Answer : Answer – A (27 7/9 m) Explanation – When SAME direction- MINUS Relative speed = (40-20) km/hr = [20 x 5/18] m/sec = [50/9] m/sec. Length of faster train = sxt=[50/9 x 5] m = 250/9 m = 27 7/9 m.

A bus and a truck are available to cross a jungle. The speed of the truck is thrice that of the bus. The capacity of the truck is 60 persons and that of bus is 40 persons. The average occupancy of the bus is twice that of the truck. The tickets for the bus and the truck cost Re 1 and Re 1.50 respectively. What is the ratio of the average rupee collection of the truck to that of the bus in a day? Assume there is no wastage time between trips and the occupancy of the bus/truck is defined as the ratio of the actual number of persons boarding it and its capacity. a) 9:17 b) 17:9 c) 8:27 d) 27:8 e) None of these

Description : A bus and a truck are available to cross a jungle. The speed of the truck is thrice that of the bus. The capacity of the truck is 60 persons and that of bus is 40 persons. The average occupancy of the bus is twice ... boarding it and its capacity. a) 9:17 b) 17:9 c) 8:27 d) 27:8 e) None of these

Last Answer :  Answer: D Average Rupee collection = Speed× capacity × Occupancy × Ticket rate Ratio of average Rupee collection of truck to that of bus= product of above rate According to question, (3×60×1×1.5):(1×40×2×1)= 270:80=27:8

A sum of Rs 315 consists of 25 paise, 50 paise and 1 Re coins in the ratio 3 : 4 :6. What is the number of each kind of coin respectively? A) 216, 144, 27 B) 108, 144, 216 C) 27, 72, 216 D) 120, 35, 108 E) 102, 150, 210

Description :  A sum of Rs 315 consists of 25 paise, 50 paise and 1 Re coins in the ratio 3 : 4 :6. What is the number of each kind of coin respectively? A) 216, 144, 27 B) 108, 144, 216 C) 27, 72, 216 D) 120, 35, 108 E) 102, 150, 210

Last Answer : Answer: B 25 paise = 25/100 Rs, 50 paise = 50/100 Rs So value ratio of these coins become = 3*(25/100) : 4*(50/100) : 6*(1) = 3/4 : 2 : 6 = 3 : 8 : 24 So 25 paise coins value= [3/(3+8+24)] * ... 100/50) = 144 So 1 paise coins value= [24/(3+8+24)] * 315 = Rs 216, so coins = 215 * (100/100) = 216

Two faucet can separately fill a cistern 30minutes and 45 minutes respectively and when the waste faucet is open, they can together fill it in 54 minutes. The waste faucet can empty the full cistern in? A) 27 min B) 23 min C) 23 min D) 29 min

Description : Two faucet can separately fill a cistern 30minutes and 45 minutes respectively and when the waste faucet is open, they can together fill it in 54 minutes. The waste faucet can empty the full cistern in? A) 27 min B) 23 min C) 23 min D) 29 min 

Last Answer : A 1/30 + 1/45 - 1/x = 1/54 1/x=1/30+1/45-1/54 1/x=9+6-5/270 1/x=10/270 1/x=1/27 x = 27

Given a Non-deterministic Finite Automation (NFA) with states p and r as initial and final states respectively transition table as given below Image The minimum number of states required in Deterministic Finite Automation (DFA) equivalent to NFA is (A) 5 (B) 4 (C) 3 (D) 2

Description : Given a Non-deterministic Finite Automation (NFA) with states p and r as initial and final states respectively transition table as given below  The minimum number of states required in Deterministic Finite Automation (DFA) equivalent to NFA is (A) 5 (B) 4 (C) 3 (D) 2

Last Answer : (C) 3 

The ________ is a function of three values: average data rate, peak data rate, and maximum burst size.

Description : The ________ is a function of three values: average data rate, peak data rate, and maximum burst size.

Last Answer : Effective bandwidth

The correct values of ionization enthalpies(in KJ `"mol"^(-1)`) of Si, P, Cl, and S respectively are: a)`786, 1012, 999, 1256` b)`1012, 786, 999, 1256

Description : The correct values of ionization enthalpies(in KJ `"mol"^(-1)`) of Si, P, Cl, and S respectively are: a)`786, 1012, 999, 1256` b)`1012, 786, 999, 1256

Last Answer : The correct values of ionization enthalpies(in KJ `"mol"^(-1)`) of Si, P, Cl, and S respectively are: ... . `786,1012,1256,999` D. `786,999,1012,1256`

For vaporization of water at 1 atmospheric pressure the values of `DeltaH` and `DeltaS` are `40.63KJmol^(-1)` and `108JK^(-1)mol^(-1)` , respectively.

Description : For vaporization of water at 1 atmospheric pressure the values of `DeltaH` and `DeltaS` are `40.63KJmol^(-1)` and `108JK^(-1)mol^(-1)` , respectively.

Last Answer : For vaporization of water at 1 atmospheric pressure the values of `DeltaH` and `DeltaS` are `40.63KJmol^(-1)` and ` ... 373.4 K C. 293.4 K D. 273.4 K

The first stage of a two-stage amplifier has a voltage gain of 10, a 600 Ω input resistor, a 1600Ω equivalent noise resistance and 27kΩ output resistor. For the second stage, these values are 25, 81kΩ, 19kΩ, and 1MΩ, respectively. Calculate the equivalent input-noise resistance of this two stage amplifier. A. 2,518 kΩ B. 2,518 Ω C. 251.8 Ω D. 12,518 Ω

Description : The first stage of a two-stage amplifier has a voltage gain of 10, a 600 Ω input resistor, a 1600Ω equivalent noise resistance and 27kΩ output resistor. For the second stage, these values are 25, 81kΩ, 19kΩ, and 1MΩ, ... this two stage amplifier. A. 2,518 kΩ B. 2,518 Ω C. 251.8 Ω D. 12,518 Ω

Last Answer : B. 2,518 Ω

If P, Y and Z are the weights of cement, fine aggregates and coarse aggregates respectively and W/C is the water cement ratio, the minimum quantity of water to be added to first batch, is obtained by the equation (A) 0.1P + 0.3Y + 0.1Z = W/C × P (B) 0.3P + 0.1Y + 0.01Z = W/C × P (C) 0.4P + 0.2Y + 0.01Z = W/C × P (D) 0.5P + 0.3Y + 0.01Z = W/C × P

Description : If P, Y and Z are the weights of cement, fine aggregates and coarse aggregates respectively and W/C is the water cement ratio, the minimum quantity of water to be added to first batch, is obtained by the equation (A) 0.1P + 0.3Y + 0. ... + 0.2Y + 0.01Z = W/C P (D) 0.5P + 0.3Y + 0.01Z = W/C P

Last Answer : Answer: Option B

The Maximum shear stress in Slabs should not exceed -------- the maximum values allowed for beams. [ A ] Half Of [ B ] One-Fourth Of [ C ] Twice [ D ] Those Given In

Description : The Maximum shear stress in Slabs should not exceed -------- the maximum values allowed for beams. [ A ] Half Of [ B ] One-Fourth Of [ C ] Twice [ D ] Those Given In

Last Answer : [ A ] Half Of

Minimum number of bits required to represent maximum value of given analogue signal with 0.1% accuracy is:

Description :  Minimum number of bits required to represent maximum value of given analogue signal with 0.1% accuracy is: a. 8 bits b. 9 bits c. 10 bits d. 12 bits

Last Answer : 10

Consider the fractional knapsack instance n = 4, (p1, p2, p3, p4) = (10, 10, 12, 18), (w1, w2, w3, w4) = (2, 4, 6, 9) and M = 15. The maximum profit is given by (Assume p and w denotes profit and weight of objects respectively) (A) 40 (B) 38 (C) 32 (D) 30

Description : Consider the fractional knapsack instance n = 4, (p1, p2, p3, p4) = (10, 10, 12, 18), (w1, w2, w3, w4) = (2, 4, 6, 9) and M = 15. The maximum profit is given by (Assume p and w denotes profit and weight of objects respectively) (A) 40 (B) 38 (C) 32 (D) 30

Last Answer : (B) 38

The displacement of a particle under going rectilinear motion along the x-axis is given by x = 2t3 + 21t2 + 60t + 6 metres. a.27 m/s2 b.18 m/s2 c.36 m/s2 d.9 m/s2 e.107 dynes

Description : The displacement of a particle under going rectilinear motion along the x-axis is given by x = 2t3 + 21t2 + 60t + 6 metres. a.27 m/s2 b.18 m/s2 c.36 m/s2 d.9 m/s2 e.107 dynes

Last Answer : d. 9 m/s2

For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π 2 m. a) 1 b) 2 c) 3 d) 4

Description : For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π 2 m. a) 1 b) 2 c) 3 d) 4

Last Answer : b) 2