Q1) Let f(t) = 1, |t| <2 0, It>2. Find F(w) and use it together with Parseval's equality to show that * sin² 2x +2 S - dx = 2π.

Q: Differentiate f(w) = sinw + w²tan-1w

A: We have to find differentiation of given function.

Q: Use function f Gx)= X-cos(x) to %3D differedtinte Newton's fined Poird method and methed.

A: Given that f(x)=x-cosx The newton method is, xn+1=xn-f(xn)f'(xn) Then f'(xn)=1+sin x So, the…

Q: Find the length of the hyperbolic function y = cosh x from (0,1) to (8, cosh 8)

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Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: x+(1/x)=2 cos theta , then show that x2+(1/x2 )=2 cos2 theta

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Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: Determine whether f(x)=sinx+cosx is an odd or even number

A: Given function is f(x)=sinx+ cosx

Q: 1. Use trigonometric substitution to evaluate each of the following. (») /: dx x² + 4x + 3 (b) dx (4…

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Q: Find f if f"(t) = 2et + 3 sin(t), ƒ(0) = 2, ƒ(π) = 5. f(t) = = 2e^t-3sint+ (2e^(pi) - 5)/(pi)t

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Q: Consider a function f(x) where f" (x) = 5ª (ln 5)² + sin(- a) Find f"(x) dæ. b) Assume that f(0) = 9…

A: with the help of integration  properties we will evaluate the above function detailed solution is…

Q: differentiate the follouwing 243 a) f(x)=2x°-in/x|+3 arccos (X)

A: Since you have asked multiple questions in the same request, as per the policy, only the first…

Q: d dx f(x)=sina, f(0) = 7.

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Q: 3 (a) Differentiate the left-side functions with respect to the right-side ones I+/(1+x³), i) tan…

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Q: ) FIND F'6): c. f() - x 2- 3x2 F. f6) = VI-x

A: f(x)=x2-3x2differentiate w.r.t.…

Q: Find f. f "(x) x2, x > 0, f(1) 0, f(9) 0 =

A: Given,

Q: Plot the following function 0 <x< T sin(x) f(x) = } -0.81x2 + 7.64x – 16 π<x< 2π -1.62x2 + 25.46x –…

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Q: Find f. f"(x)  =6 x + Sin x

A: Given: f"x=6x+sinx we know that f'x=∫f"xdx                                      ..1 so, by using…

Q: TT 4 3. f(1 + sinx) dx + f(1 + sinx) dx 0 TU 4

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Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: + Find the maximum value of isu = Sinn Siny Sincnty) U

A: The given problem is to find the maximum value of the given function u=sin(x)sin(y)sin(x+y).

Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: c) Sa* sin*x dx

A: To evaluate : The integral  ∫π43π4 sin4 x dx .