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 : 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 : 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 : 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 : Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) cos phi -1, tan(2pi-theta) > 0 and -1 <
Last Answer : Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) ... (3pi)/(2)` D. `(3pi)/(2) lt phi lt 2pi`
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 : If `0
Last Answer : If `0
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 : 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`
Description : The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , then `lambda` can be equal to 0
Last Answer : The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , ... -1 B. 0 C. `(1)/(2)` D. 1
Description : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is
Last Answer : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is
Description : `(1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3)+alpha)]` is equal to
Last Answer : `(1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3)+alpha)]` is equal to A. `(4)/(3)` B. `(3)/(4)` C. `(-3)/(4)` D. `(-4)/(3)`
Description : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`
Last Answer : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`
Description : `(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`
Last Answer : `(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`
Description : In trapezoidal threads, f (coefficient of friction) can be taken as a) f sec θ b) f cos θ c) f sin θ d) f cosec θ
Last Answer : a) f sec θ
Description : `(i) int (e^(x) .(1-x))/(x^(2))dx` `(ii) int ((1+sin x)/(1+cos x))e^(x) dx`
Last Answer : `(i) int (e^(x) .(1-x))/(x^(2))dx` `(ii) int ((1+sin x)/(1+cos x))e^(x) dx`
Description : `(i) int e^(x). "[log (sec x+tan x) + sec x dx "` `(ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx`
Last Answer : `(i) int e^(x). "[log (sec x+tan x) + sec x dx "` `(ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx`
Description : `(i)intsec^(7) x. sin x dx" "(ii) int(1)/(sinx. cos^(2) x)dx`
Last Answer : `(i)intsec^(7) x. sin x dx" "(ii) int(1)/(sinx. cos^(2) x)dx`
Description : `(i) int (cos x-x sin x)/(x cos x) dx " "(ii) int(1+ cos x)/(x +sin x)^3 dx`
Last Answer : `(i) int (cos x-x sin x)/(x cos x) dx " "(ii) int(1+ cos x)/(x +sin x)^3 dx`
Description : `(i) int(1)/(sqrt(1-x^(2)).cos^(-1) x)dx` `(ii) int (sin(tan^(-1)x))/(1+x^(2))dx`
Last Answer : `(i) int(1)/(sqrt(1-x^(2)).cos^(-1) x)dx` `(ii) int (sin(tan^(-1)x))/(1+x^(2))dx`
Description : ` (i) int sqrt(1+ sin .(x)/(2)dx)` `(ii) int (1+cos 4x)/(cot x- tan x)dx`
Last Answer : ` (i) int sqrt(1+ sin .(x)/(2)dx)` `(ii) int (1+cos 4x)/(cot x- tan x)dx`
Description : `(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx`
Last Answer : `(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx`
Description : Obtain derivatives of the following functions: (i) x sin x (ii) x^4 + cos x (iii) x/sin x
Last Answer : Obtain derivatives of the following functions: (i) x sin x (ii) x4 + cos x (iii) x/sin x
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 : 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 function `x^(100)+sin x-1` is decreasing in the interval:
Last Answer : The function `x^(100)+sin x-1` is decreasing in the interval: A. `(0,pi/2)` B. `(0, 1)` C. `(pi/2, pi)` D. None of these
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//2) x sin cos x dx=?`
Last Answer : `int_(0)^(pi//2) x sin cos x dx=?` A. `(pi)/(4)` B. `(pi)/(8)` C. `(pi)/(12)` D.
Description : `int_(0)^(pi) x sin x. cos^(2) x dx`
Last Answer : `int_(0)^(pi) x sin x. cos^(2) x dx`
Description : `int_(0)^(pi//2) x sin x cos x dx`
Last Answer : `int_(0)^(pi//2) x sin x cos x dx`
Description : `int_(0)^(pi//2) e^(x) (sin x + cos x) dx`
Last Answer : `int_(0)^(pi//2) e^(x) (sin x + cos x) dx`
Description : `int_(0)^(pi//2) sin^(2) x cos ^(2) x dx`
Last Answer : `int_(0)^(pi//2) sin^(2) x cos ^(2) x dx`
Description : `int_(0)^(pi//2) (a cos^(2) x+b sin^(2) x) dx`
Last Answer : `int_(0)^(pi//2) (a cos^(2) x+b sin^(2) x) dx`
Description : If `alpha, beta` are the roots of the equation `x^2 + (sin phi -1)x-1/2 cos^2 phi = 0 (phi in R),` then the maximum value of the sum of the squares of
Last Answer : If `alpha, beta` are the roots of the equation `x^2 + (sin phi -1)x-1/2 cos^2 phi = 0 (phi in R),` then ... the roots is. A. 4 B. 3 C. `9//4` D. 2
Description : No. of solutions of `16^(sin^2x)+16^(cos^2x)=10, 0 le x le 2 pi` is
Last Answer : No. of solutions of `16^(sin^2x)+16^(cos^2x)=10, 0 le x le 2 pi` is
Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is ... Φ) C x = (A - Bt) e - ωt D x = X e - ξωt (cos ω d t + Φ)
Last Answer : A x = (A + Bt) e – ωt
Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is ... ) C. x = (A - Bt) e - ωt D. x = X e - ξωt (cos ω d t + Φ
Last Answer : A. x = (A + Bt) e – ωt
Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the A differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is ... (C)x = (A - Bt) e - ωt ( D )x = X e - ξωt (cos ω d t + Φ
Last Answer : ( A ) x = (A + Bt) e – ωt
Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equati damped free vibrations having single degree of freedom. What will be the solution to this differ equation if the system is critically ... c. x = (A - Bt) e - ωt d. x = X e - ξωt (cos ω d t + Φ)
Last Answer : a. x = (A + Bt) e – ωt
Description : Find the area of a right angled triangle with sides of 90 degree unit and the functions described by L = cos y and M = sin x. a) 0 b) 45 c) 90 d) 180
Last Answer : d) 180
Description : Given D = e -x sin y i – e -x cos y j Find divergence of D. a) 3 b) 2 c) 1 d) 0
Last Answer : d) 0
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 : The function `f(x)=(x^2-1)|x^2-3x+2|+cos(|x|)` is not differentiable at (a)-1 (b)0 (c)1 (d)2
Last Answer : The function `f(x)=(x^2-1)|x^2-3x+2|+cos(|x|)` is not differentiable at (a)-1 (b)0 (c)1 (d)2 A. `-1` B. 0 C. 2 D. 1
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 : 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 : 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 : 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
Last Answer : answer:
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