Description : The number of integral values of a for which the equation `cos2x+a sin x=2a-7` possessess a solution.
Last Answer : The number of integral values of a for which the equation `cos2x+a sin x=2a-7` possessess a solution. A. `0` B. `1` C. `3` D. `5`
Description : If x + 2a is a factor of a5 -4a2x3 +2x + 2a +3, then find the value of a. -Maths 9th
Last Answer : Let p(x) = a5 -4a2x3 +2x + 2a +3 Since, x + 2a is a factor of p(x), then put p(-2a) = 0 (-2a)5 – 4a2 (-2a)3 + 2(-2a) + 2a + 3 = 0 ⇒ -32a5 + 32a5 -4a + 2a+ 3 = 0 ⇒ -2a + 3 = 0 2a =3 a = 3/2. Hence, the value of a is 3/2.
Description : If (x^4 – 2x^2y^2 + y^2)^(a –1) = (x – y)^2a (x + y) ^–2, then the value of a is -Maths 9th
Last Answer : answer:
Description : The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is
Last Answer : The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is A. 1 B. `-1` C. 0 D. 2
Description : The sum of all the integral values of a {where `a in (-10, 10)}` such that the graph of the function `f(x)=||x-2|-a|-3` has exastly three x-intercepts
Last Answer : The sum of all the integral values of a {where `a in (-10, 10)}` such that the graph of the function `f(x)=||x-2 ... is A. `10` B. `5` C. `3` D. `0`
Description : For any two real number a b and , we defined aRb if and only if sin^2a + cos^2b = 1. The relation R is -Maths 9th
Last Answer : (d) an equivalence relationGiven, a R b ⇒ sin2a + cos2b = 1 Reflexive: a R a ⇒ sin2 a + cos2 a = 1 ∀ a ∈ R (True) Symmetric: a R b ⇒ sin2 a + cos2 b = 1 ⇒ 1 - cos2 a + 1 - sin2 b = 1 ⇒ sin2 b + ... + cos2 b + sin2 b + cos2 c = 2 ⇒ sin2 a + cos2 c = 1 ⇒ a R c (True)∴ R is an equivalence relation.
Description : The fractional volume change between no conversion and complete conversion, for the isothermal gas phase reaction, 2A → R, is (A) 0.5 (B) -0.5 (C) 1 (D) 1.5
Last Answer : (B) -0.5
Description : If the mean of P, Q,R is A and PQ + QR + RP =0, then the mean of p^2,Q^2,R^2 is. A) 2A^2 B) 4A^2 C) A^2 D) 3A^2
Last Answer : D) We have (P + Q + R)/3 = A P+Q+R = 3A (P+Q+R)^2 = 9A^2 P^2+Q^2+R^2 + 2 (PQ + QR + PR) = 9A^2 P^2+Q^2+R^2 = 9A^2 Required mean = (P^2+Q^2+R^2)/3 = 9A^2/3= 3A^2
Description : If(x)/((b-c)(b+c-2a))=(y)/((c-a)(c+a-2b))=(z)((a-b)(a+b-2c)), what is the value of x + y + z ? -Maths 9th
Description : Find the sum of the value (s) of a so that the equation (`x^(2) + 2ax + 2a + 3`) (`x^(2) + 2ax + 4a +5 `) = 0 has only 3 real distinct roots.
Last Answer : Find the sum of the value (s) of a so that the equation (`x^(2) + 2ax + 2a + 3`) (`x^(2) + 2ax + 4a +5 `) = 0 has only 3 real distinct roots.
Description : If `(x)/(2a-3b)=(y)/(3b-4c)=(z)/(4c-2a)`, then find the value of `x^(3)+y^(3)+z^(3)`.
Last Answer : If `(x)/(2a-3b)=(y)/(3b-4c)=(z)/(4c-2a)`, then find the value of `x^(3)+y^(3)+z^(3)`.
Description : Compute divergence theorem for D = 5r 2 /4 i in spherical coordinates between r = 1 and r = 2 in volume integral. a) 80 π b) 5 π c) 75 π d) 85 π
Last Answer : c) 75 π
Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. a) 600 b) 588.9 c) 577.8 d) 599.7
Last Answer : b) 588.9
Description : If `x^400 < 4^600` , then find the greatest possible integral value of x.
Last Answer : If `x^400 < 4^600` , then find the greatest possible integral value of x. A. 6 B. 5 C. 7 D. 4
Description : Find the number of positive integral value of `x` satisfying the inequality `((3^(x)-5^(x))(x-2))/((x^(2)+5x+2))ge0`
Last Answer : Find the number of positive integral value of `x` satisfying the inequality `((3^(x)-5^(x))(x-2))/((x^(2)+5x+2))ge0`
Description : If `2cosec theta - cos theta cot theta >= k AA theta in (0,pi),` then value of `k` is
Last Answer : If `2cosec theta - cos theta cot theta >= k AA theta in (0,pi),` then value of `k` is
Description : The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th
Last Answer : Given, point (2,3) lies on the line. So, the point (2, 3) is the solution of 3x - (a -1) y = 2a - 1 On putting x = 2 and y = 3 in given solution. ∴ 3 2 - (a-1) 3 = 2a - 1 ⇒ 6 - 3a + 3 = 2a - 1 ⇒ - 3a ... 2 2) 3 = 3b ⇒ 10 - 9 = 3b ⇒ 1 = 3b ⇒ 1 / 3 = b Hence, the value of b is 1 / 3.
Description : If a + b + c = 0, then what is the value of a^4 + b^4 + c^4 – 2a^2b^2 – 2b^2c^2 – 2c^2a^2 ? -Maths 9th
Description : If ` (a^(3)+2ab^(2))/(2a^(2)b+b^(3)) = (123)/(136)` , then find the value of ` a : b `.
Last Answer : If ` (a^(3)+2ab^(2))/(2a^(2)b+b^(3)) = (123)/(136)` , then find the value of ` a : b `.
Description : The minimum distance between the curves `y=tanx, AA x in (-(pi)/(2),(pi)/(2)) and (x-2-(pi)/(4))^(2)+y^(2)=1` is
Last Answer : The minimum distance between the curves `y=tanx, AA x in (-(pi)/(2),(pi)/(2)) and (x-2-(pi)/(4))^(2)+y^(2 ... )-1` B. `sqrt(5)+1` C. `sqrt(2)-1` D. 2`
Description : A type of lava characterized by a blocky appearanc is termed: w) Pillow Lava x) Aa y) Vessicular z) none of these
Last Answer : ANSWER: X -- Aa
Description : Let R be a relation on the set N, defined by {(x, y) : 2x – y = 10} then R is -Maths 9th
Last Answer : (a) ReflexiveGiven, {(\(x\), y) : 2\(x\) – y = 10} Reflexive, \(x\) R \(x\) = 2\(x\) – \(x\) = 10 ⇒ \(x\) = 10 ⇒ y = 10 ∴ Point (10, 10) ∈ N ⇒ R is reflexive.
Description : sin 2A = 2 sin A is true when A = a 30° b 45° c 0° d 60°
Last Answer : a 0
Description : Which quantum number cannot have an integral value? (a) n (b) 1 (c) m (d) s
Last Answer : Ans:(d)
Description : f(x) = x^4 – 2x^3 + 3x^2 – ax + b is a polynomial such that when it is divided by (x – 1) and (x + 1), the remainders are respectively 5 and 19. -Maths 9th
Description : `int_(a)^(2a) (sqrt((a)/(x))+sqrt((x)/(a)))^(2)dx`
Last Answer : `int_(a)^(2a) (sqrt((a)/(x))+sqrt((x)/(a)))^(2)dx`
Description : Evaluate: `lim_(x rarr a) (sqrt(x+a)-sqrt(2a))/(x-a)`.
Last Answer : Evaluate: `lim_(x rarr a) (sqrt(x+a)-sqrt(2a))/(x-a)`.
Description : Find the angle of intersection of the curves `x y=a^2a n dx^2+y^2=2a^2`
Last Answer : Find the angle of intersection of the curves `x y=a^2a n dx^2+y^2=2a^2`
Description : 2a x 5b?
Last Answer : 7
Description : 2a x -4?
Last Answer : 6
Description : The solutions of a linear equation in two variables always take integral values .True / false -Maths 9th
Description : The volume integral is three dimensional. State True/False a) True b) False
Last Answer : a) True
Description : The triple integral is used to compute volume. State True/False a) True b) False
Description : Gauss law for electric field uses surface integral. State True/False a) True b) False
Description : The integral form of potential and field relation is given by line integral. State True/False a) True b) False
Description : How can I obtain the integral equation f(x)?
Last Answer : xichyu look up your exponent rules involving square roots and then remember the power rule from way back when in calc I. This is literally the easiest calc problem ever.
Description : Integral [x^3 + 1]^2 dx = ? I found that it was [(x^3 + 1)^3] / 9x^2, but that is wrong? Details inside.
Last Answer : Expand this using FOIL. You will get three distinct terms and it will be a very easy integral. The answer should be (x^7)/7 + (x^4)/2 + x
Description : Why does Integral[(e^sqrt(x)) / sqrt(x)] NOT equal e^sqrt(x) + C? Details of how I got there inside...
Last Answer : The derivative of sqrt(x) isn’t 1/sqrt(x), it is .5/sqrt(x), because sqrt(x) can be rewritten as x^.5, and the chain rule applies and makes the derivative .5*x^-.5
Description : What is the integral of xe^(-x) dx?
Last Answer : Sorry, my fingers and toes only go to 20.
Description : `"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"`
Last Answer : `"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"` A. `(1+x^(4)) ^(1//4)+c` B. `(1-x^(-4))^(1//4) +c` C. `-(1+x^(-4))^(1//4)+c` D.
Description : Evaluate the following integral: `int_1^3(cos(logx))/x dx`
Last Answer : Evaluate the following integral: `int_1^3(cos(logx))/x dx`
Description : The quadratic equation `x^2-1088x+295680=0` has two positive integral roots whose greatest common divisor is 16. The least common multiple of the two
Last Answer : The quadratic equation `x^2-1088x+295680=0` has two positive integral roots whose greatest common divisor is ... A. 18240 B. 18480 C. 18960 D. 19240
Description : Number of positive integral solution of the equation `|x^(2)-3x-3| gt |x^(2)+7x-13|` is/are
Last Answer : Number of positive integral solution of the equation `|x^(2)-3x-3| gt |x^(2)+7x-13|` is/are A. `0` B. `1` C. `2 D. `3`
Description : Evaluate the following integral : ∫sin x dx, x∈(π/2, 0)
Last Answer : Evaluate the following integral : (i) \(\int_0^{\pi/2}\,sin\,x\,dx\) ∫sin x dx, x∈(π/2, 0) (ii) \(\int_1^5\,x\,dx\) ∫ x dx, x∈(5, 1)
Description : What is the integral of x to the power n?
Last Answer : For n not equal to -1, it is 1/(n+1)*xn+1 while for n = -1, itis ln(|x|), the logarithm to base e.
Description : How do you find the derivative for f(x) integral (1-t2)(1 plus t4) from sin2x to 1?
Last Answer : My suggestion is to multiply the binomials and do the integration directly, and then differentiate the result with respect to x. (If that doesn't work, feel free to send me a picture of the problem and I'll give it another try.)
Description : Evaluate the surface integral ∫∫ (3x i + 2y j). dS, where S is the sphere given by x 2 + y 2 + z 2 = 9. a) 120π b) 180π c) 240π d) 300π
Last Answer : b) 180π
Description : For Hydrogen atom, the allowed stationary orbits are those whose orbital angular momentum is equal to an integral multiple of h i.e., mvr = a) nh/2π b) nh x 2π c) nh / 2λ d) nh / 2πλ
Last Answer : a) nh/2π