Where does the periodic function f(x) = 2esin (x/2) take on its extreme values and what are these values? y = 2e sin (x/2)

Q: 11, 0-20² 2. 3. चं 5. T S cos 2x dx sin(²³) cos²(:-) / dx 2x-1 4x dx dx 6. 7. 8. S [² (x² + 0²³) dx…

A:

Q: 1. f(x) = sin 2x + cos 3x + x² = 0 with xo = -0.5 , Ax 0.1, TOL = 0.001, in [-0.5,1] %3D

A: Given equation is fx=0 where f(x) is defined by fx=sin2x+cos3x+x2  Given initial solution is x0=-0.5…

Q: f(x)=X +Sin -1 く(-2)- 4-て+Sini-て)-\no9651 3(x)=てメ+ cosx ずし-て) ニ -4ACOS(-て)-3 (x)-2-らinx f(-2):…

A:

Q: The approximation of I = = co cos (x²+5) dx using simple Simpson's rule is:

A:

Q: on of period 2 pi in t. (x+sin r)(x

A: The differential equation is given as, dxdt=x+sin2tx-esint Let x=ft be the solution of the…

Q: 04- Determine the general solution of the following differential equat dy tan x. +у %3D sec х dx

A:

Q: B: 3:Use Gamma & Beta properties to evaluate : f (In x) 3 dx

A:

Q: Find the general solution of y'=cos²xcosy

A:

Q: 1. Determine the general solution of this equation in terms of C ( sin y- ysin x) dx + (cos x + x…

A: We have the following solution for given ODE:

Q: dy +(cos x)y = sin²(x) using first order linear differential equation. dx Solve (sin x) %3D

A:

Q: The solution of following Differential Equation y[(1+)+ cosy =x sin y-x- Inx ,is: dx dy

A: We have to solve given problem:

Q: 19 18. sin x cos x dx 1-3cos 2x dt 1+ e-t

A: The given integrals are;  19) sinxcosx/(1-3cos2x)  18)1/(1+e-t).

Q: 6. Suppose you wish to differentiate g(x) = sin²(x)+cos²(x). What is the fastest way to do this, and…

A: Given,

Q: 1. f/² sin () cos (+) sin (²) d dx (Consider initially the first 2 terms)

A: We have to use the formulas for 2sin(A)cos(B)-sin(A+B)+sin(A-B) and 2sin(A)sin(B)=cos(A-B)-cos(A+B).…

Q: /2 2 cos x dx 1+ (sin x)² -n/2

A:

Q: 8. lim,0 1-cos x 2x2 1 (a) 1 (b) – (c) 0 (d) ; (e) 1. -

A:

Q: 1-Show that the function defined by the base harmonic function f(x, y) = ex cos 4y

A: As per our expert guidelines we are allowed to solve only one question. kindly repost others. thank…

Q: determine the annihilator of the givenfunction. F(x) = sin x cos3 x.

A: We have to determine the annihilator of the function: Fx=sinxcos3x Annihilator is the set of linear…

Q: 1+2 e-kt cos kx = k=1 sinh t - cosht cos x

A: To prove / disprove: 1+2∑k=1∞e-ktcoskx=sinhtcosht-cosx

Q: 7(e)₁² X y= » - [1-171² 2 sec- y = (tan 17 1² ² X y = [cscx]arcsin (cos.x)

A:

Q: Find the Solution of differenthial Cos X

A:

Q: 3. The graph of y = sin z is transformed so that the transformed image has a period of 47 and a…

A:

Q: S cos ( x^3 ) dx = * sin ( x^3) + c 3x^2 sin (x^3 ) + c - sin (x^3 ) + c - 3x^2 sin ( x^3) + c none…

A:

Q: 5. Consider the equation: 3x – 2 cos x = 0. Use Newton's method starting with the initial…

A:

Q: 3. Solve the IVP: siny(x + siny)+2x²cosy y'=0; y(-1)= π/2 (Subst. first and then Bernoulli's)

A:

Q: Q2 Form a differential equation from the function y = (4– 2 cos x) x)cosx.

A: Given below the detailed solution

Q: 9-x 4. Evaluate ſ, S sin(x² + y²) dy dx

A:

Q: 8) Determine the smallest positive roet of the equation - 0.0i t sin (0.573t) -e

A: To determine the smallest root of the given of the function we will use Newton-Rapson method with…

Q: 3. Determine a root of the equation sin(x) + 3 cos(x)-2-0 Using the Secant method correct to five…

A:

Q: Find the critical numbers of the function

A:

Q: 7 sin(x) -dx 2 cos x+5cos(x)– 3 4.

A:

Q: 1. S(tan -1) dp 2. sin2 B cos ß dB 3. S: xdx -7-8x-x

A:

Q: 1. Consider 3x + sin x – e* = 0, using Secant Method with initial points xo = 0 and x1 = 1,…

A: The given equation is; 3x+sinx-ex=0.

Q: _5. In the equation y = sin-1 x, if = , then y= TC %3D %3D %3D

A: 5. In the equation y=sin-1x , if x=12 , then y=π6. The given statement is True, The reason regarding…

Q: 8. Suppose that the tangent line to the graph of ƒ(x) = r0) at r = 1 is equal to the tangent line to…

A:

Q: 1. The graph of y=sin z is transformed so that the transformed image has a period of 4m and a phase…

A: Given problem:- The graph of y = sin x is transformed so that the transformed image has a period of…

Q: Find a possible formula of the form A sin t+k or A cos t+k for the periodic function with midline y…

A: The standard equation of any sinusoidal curve is given by  y=Asin(B(t-C))+D      or…

Q: 4. Find the absolute maximum and minimum values of the function f(x) = cos²x-3 sinx on the interval…

A:

Q: (3tan x – 2cos y ) sec 2 xdx + tan x sin ydy = 0 %3D

A:

Q: Find a particular solution to yp of the given equation. In all of the problems, primes denote…

A: In this question, concept of Variation of Parameters in Differential Equation is used. A…

Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

A:

Q: =1+ cos (x) x2 + 12x + 20 -dx 1 + cos² (x) 0. At what value of t does the local max of f(t) occur?

A: Given that f(t)=∫0tx2+12x+201+cos2 xdx To find the local maximum of f(t) at t:

Q: Q-4) Find the general solution of the Cauchy-Euler equation x'y"+ xy'+4y = sin(In x)

A: Solve the Cauchy Euler differential equation

Q: Where does the periodic function f(x) = 2ešin (x/2) take on its ex- treme values and what are these…

A:

Q: 4. For any angle 0, Therefore: sin (0) = cos(0 - π/2) cos(0) = sin(0 + π/2) sin(0) has a phase shift…

A:

Q: 1 find the value of so that ky"=-1 at y= For cos x- sin y=- O V3 2 4 4

A: Solution:-

Q: Determine the general solution of (cos(x)cos(y)-cot(x))dx=(sin(x)sin(y))dy

A: Given: cos(x)cos(y)-cot(x)dx=sin(x)sin(y)dy