Description : Find the intervals in which the function `f(x) = sin x +cos x,x in [0, 2pi]` is (i) strictly increasing, (ii) strictly decreasing.
Last Answer : Find the intervals in which the function `f(x) = sin x +cos x,x in [0, 2pi]` is (i) strictly increasing, (ii) strictly decreasing.
Description : The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is
Last Answer : The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is
Description : In the interval (-1, 1), the function ` f(x) = x^(2) - x + 4` is :
Last Answer : In the interval (-1, 1), the function ` f(x) = x^(2) - x + 4` is : A. ... . decreasing C. neither increasing nor decreasing D. None of the above
Description : The function log`(1+x) - (2x)/(x+2)` is increasing in the interval:
Last Answer : The function log`(1+x) - (2x)/(x+2)` is increasing in the interval: A. `(-infty, 0]` B. `[-1 infty)` C. `(-infty, 1]` D. None of these
Description : The interval between two sessions of parliament must not exceed – (1) 3 months (2) 6 months (3) 4 months (4) 100 days
Last Answer : (2) 6 months Explanation: The maximum gap between two sittings should not be more than 6 months. That means, The parliament should meet at least twice a year.
Description : The interval between two sessions of parliament must not exceed (A) 3 months (B) 6 months (C) 4 months (D) 100 days
Last Answer : (B) 6 months
Description : (a) Find the intervals in which the function `f(x)=log(1+x)-x/(1+x)` is (i) increasing, (ii) decreasing function. (b) Find the intervals in which the
Last Answer : (a) Find the intervals in which the function `f(x)=log(1+x)-x/(1+x)` is (i) increasing, (ii) ... x/(log_(e) x),x gt 0` is increasing or decreasing.
Description : If `f(x)=pi((sqrt(x+7)-4)/(x-9))` then the range of function `y = sin(2 f(x))` is :
Last Answer : If `f(x)=pi((sqrt(x+7)-4)/(x-9))` then the range of function `y = sin(2 f(x))` is : A. `[0,1]` B. `( ... 0,(1)/(sqrt(2)))uu(1/(sqrt(2)),1]` D. `(0,1]`
Description : Consider the matrix function `A(x)=[{:(cos^(-1)x,sin^(-1)x,cosec^(-1)x),(sin^(-1)x,sec^(-1)x,tan^(-1)x),(cosec^(-1)x,tan^(-1)x,cot^(-1)x):}]` and `B =
Last Answer : Consider the matrix function `A(x)=[{:(cos^(-1)x,sin^(-1)x,cosec^(-1)x),(sin^(-1)x,sec^(-1)x,tan^(-1)x),( ... )=-A(x)` D. `A(x) + A(-x) = - piI_(3)`
Description : If the function `f(x) = a sin x + 1/3 sin 3x ` is maximum at `x= pi/3 ` a=?
Last Answer : If the function `f(x) = a sin x + 1/3 sin 3x ` is maximum at `x= pi/3 ` a=? A. 1 B. 2 C. 3 D. 4
Description : Find the maximum and minimum values of the function `f(x) = (sin x)/(1+ tan x) ,(0 lt x lt 2pi)`.
Last Answer : Find the maximum and minimum values of the function `f(x) = (sin x)/(1+ tan x) ,(0 lt x lt 2pi)`.
Description : Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt pi)`.
Last Answer : Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt pi)`.
Description : Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.
Last Answer : Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.
Description : The equation m(d 2 x/ dt 2 ) + c (dx/dt) + Kx = F 0 sin ωt is a second order differential equation. The solution of this linear equation is given as A. complementary function B. particular function C. sum of complementary and particular function D. difference of complementary and particular function
Last Answer : C. sum of complementary and particular function
Description : The function V = e x sin y + z does not satisfy Laplace equation. State True/False. a) True b) False
Last Answer : b) False
Description : Find the divergence theorem value for the function given by (e z , sin x, y 2 ) a) 1 b) 0 c) -1 d) 2
Last Answer : b) 0
Description : If a function is described by F = (3x + z, y 2 − sin x 2 z, xz + ye x5 ), then the divergence theorem value in the region 0
Last Answer : c) 39
Description : Find the gradient of the function sin x + cos y. a) cos x i – sin y j b) cos x i + sin y j c) sin x i – cos y j d) sin x i + cos y j
Last Answer : a) cos x i – sin y j
Description : The analog signal m(t) is given below m(t) = 4 cos 100 pt + 8 sin 200 pt + cos 300 pt, the Nyquist sampling rate will be: (1) 1/100 (2) 1/200 (3) 1/300 (4) 1/600
Last Answer : The analog signal m(t) is given below m(t) = 4 cos 100 pt + 8 sin 200 pt + cos 300 pt, the Nyquist sampling rate will be: 1/300
Description : For (|x-1|)/(x+2)
Last Answer : answer:
Description : If an integer P is chosen at random in the interval 0 ≤ p ≤ 5, the probability that the roots of the equation x^2 + px -Maths 9th
Description : If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315]` is equal to `kpi`, then the value of
Last Answer : If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315 ... is A. `10` B. `20` C. `50` D. `80`
Description : How does f(x)7x change over the interval from x5 to x7?
Last Answer : If the x value changes u, then the y value changes by 7u.
Description : Which line in figure 'A' shown in the illustration represents the interval that the pulse is 'ON'? EL-0088 A. W B. X C. Y D. Z
Last Answer : Answer: C
Description : Which line of figure 'A' shown in the illustration represents the interval that the pulse is 'OFF'? EL-0088 A. W B. X C. Y D. Z
Last Answer : Answer: D
Description : The pH range over which an indicator color change occurs is referred to as its: w) titration range x) titration constant y) transition interval z) none of the above
Last Answer : ANSWER: Y -- TRANSITION INTERVAL
Description : The membership values of the membership function are nor strictly monotonically increasing or decreasing or strictly monoronically increasing than decreasing. A. Convex Fuzzy Set B. Non convex fuzzy set C. Normal Fuzzy set D. Sub normal fuzzy set
Last Answer : B. Non convex fuzzy set
Description : A fuzzy set has a membership function whose membership values are strictly monotonically increasing or strictly monotonically decreasing or strictly monotonically increasing than strictly monotonically decreasing with increasing ... fuzzy set C. Non concave Fuzzy set D. Non Convex Fuzzy set
Last Answer : A. convex fuzzy set
Description : What's the key to remembering how to draw each of the different trigonometric function graphs? (i.e. sin, cos, tan)
Last Answer : SOH – sin CAH – cos TOA – tan sin = opposite over hypotenuse cos = adjacent over hypotenuse tan = opposite over adjacent
Description : Find the intervals in which the following functions are: (i) increasing (ii) decreasing. (a) `f(x) = 10-6x+x^(2)` (b) `f(x) = 2x^(2)-6x` (c) `f(x) = 2
Last Answer : Find the intervals in which the following functions are: (i) increasing (ii) decreasing. (a) `f(x) = 10-6x+x^(2)` (b ... ) `f(x) = (x+2)^(3)(x-3)^(3)`
Description : Arrange the following compounds in decreasing orders of rate of hydration. `(X) C Cl_(3)CHO " " (Y) CH_(3)CHO " " (Z)CH_(3)COCH_(3) " " (W) CF_(3)CHO`
Last Answer : Arrange the following compounds in decreasing orders of rate of hydration. `(X) C Cl_(3)CHO ... . WgtZgtXgtY B. WgtXgtYgtZ C. WgtYgtZgtX D. WgtZgtYgtX
Description : Long run supply curve of a decreasing cost industry is (a) Downward sloping curve ; (b) Upward sloping curve; (c) Straight line parallel to X axis ; (d) Straight line parallel to y axis
Last Answer : (a) Downward sloping curve ;
Description : If the resultant force acting on a body of constant mass is zero, the body's acceleration is: w) increasing x) decreasing y) always zero z) negative.
Last Answer : ANSWER: Y -- ALWAYS ZERO
Description : Ice skating is possible and practical because of a unique property of water. Is it because: w) The coefficient of kinetic friction of steel on frozen water decreases with decreasing temperature x ... sublimes y) The melting point decreases with increasing pressure z) Ice is a good thermal insulator
Last Answer : ANSWER: Y -- THE MELTING POINT DECREASES WITH INCREASING PRESSURE
Description : A capacitor and a coil are connected in series. The capacitor is charged and allowed to discharge through the coil. The current that will then flow through the capacitor-coil combination will do ... but diminish steadily to zero z) oscillate at high frequency at first but then at slower frequency
Last Answer : ANSWER: Y -- OSCILLATE BUT DIMINISH STEADILY TO ZERO
Description : A constant potential difference is applied across the plates of a parallel-plate capacitor. Neglecting any edge effects, the electric field inside the capacitor is: w) constant x) varying as one over r squared y) decreasing as one moves from the positive to the negative plate z) zero
Last Answer : ANSWER: W -- CONSTANT
Description : If the resultant force acting on a body of constant mass is zero, the body's momentum is: w) increasing x) decreasing y) always zero z) constant
Last Answer : ANSWER: Z -- CONSTANT
Description : Which of the following represents shearing? a.(x, y) → (x+shx, y+shy) b.(x, y) → (ax, by) c.(x, y) → (x cos(θ)+y sin(θ), -x sin(θ)+y cos(θ)) d.(x, y) → (x+shy, y+shx)
Last Answer : d.(x, y) → (x+shy, y+shx)
Description : If tan x = b/a , then what is the value of a cos 2x + b sin 2x? -Maths 9th
Description : The angle A lies in the third quadrant and it satisfies the equation 4 (sin^2x + cos x) = 1. What is the measure of angle A? -Maths 9th
Description : If sin^4x + sin^2x = 1 then what is 1 are the value of cot^4 x + cot^2 x? -Maths 9th
Description : If sin x + cosec x = 2, then sin^n x + cosec^n x is equal to -Maths 9th
Description : The equation e^(sin x) – e(–sin x) – 4 = 0 has -Maths 9th
Description : If x sin3|+ y cos3|=sin|cos| and xsin|=ycos|, prove x2+y2=1. -Maths 9th
Last Answer : xsin3θ+ycos3θ=sinθcosθ (xsinθ)sin2θ+(ycosθ)cos2θ=sinθcosθ (xsinθ)sin2θ+(xsinθ)cos2θ=sinθcosθ xsinθ=sinθcosθ x=cosθ Again, ycosθ=xsinθ ycosθ=cosθsinθ y=sinθ Therefore, x2+y2=sin2θ+cos2θ=1.
Description : `int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x) dx=?`
Last Answer : `int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x) dx=?` A. `0` B. `1` C. None of the above D.
Description : `int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?`
Last Answer : `int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?` A. `(pi)/(2)` B. `pi` C. `2pi` D.
Description : `int_(0)^(1//2) (x sin^(-1)x)/(sqrt(1-x^(2)))dx=?`
Last Answer : `int_(0)^(1//2) (x sin^(-1)x)/(sqrt(1-x^(2)))dx=?` A. `(pi sqrt(3))/(12)+(1)/(2)` B. `(pisqrt(3))/(12)-(1)/(2)` C. `(pisqrt(3))/(12) -(1)/(2)` D.
Description : integrate `int_0^(2pi) e^x . sin (pi/4 + x/2) dx`
Last Answer : integrate `int_0^(2pi) e^x . sin (pi/4 + x/2) dx`