(a) Let f(x) = cos(3x – 2). Find f°"(x). (39)

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A: For a function f(x)=A cos(ωx+b)+c The amplitude of the function is |A| and the phase shift is b.

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A: We have to evaluate the following integral: int sin 3x . cos (-5x) dx

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A: We can solve using first order differentiation (using chain rule)

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A: Given: y=sinx2cos2x, y=cos4sec23x We know that ddxuv=vdudx+udvdx…

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: Question 2 Find the linear approximation of the function at the given point. f(x, v) = 3 sinx - 7…

A: F(x,y)=3 sin x - 7 cos y at ( 0 , π/2)

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A: Given: y=-4xcos2x+4xsin2x

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A: Indefinite Integration

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A: Note:   As per our company policy we should answer only one question each time, so please repost the…

Q: Find f. f"(0) = sin(0) + cos(8), f(0) = 5, f'(0) = 2

A: Given, f"(θ)=sinθ+cosθ f(0)=5 and f'(0)=2

Q: Take the derivative of this integral.

A: Given

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A: Topic- Derivative

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Q: Find F

A: Given:

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Q: 3x d. Evaluate dx COS cos (3t – 1) dt

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Q: Sketch the periodic extension of the indicated function.

A: According to the given information, it is required to sketch the period extension of the indicated…

Q: 4. Find d²y/dx² for the following functions: a) y = sin x? cos 2x

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Q: 2T d) f(x)=5 sin (x+1)+2 e) f(x) = -2 cos 2(x+ 1) + 1_ 17. Find the rule of the sinusoi

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) +…

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Q: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

Q: b f sin'x. cos²x.dx ef cos(Inx).dx C-

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Q: a) cos(xy)=2y, find y' DI y = cot-1 1+x 1-x

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Q: a) f(x) = 10r23 + el2 + 53 - In(r)+ arccos(x) %3D

A: Given

Q: 3. Find d, where ; a) cos(xy)- (x+y) (x+ =2 + e

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: Hf sin x = A + B cos 2x +C cos 4x, then A = %3D C =

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Q: y = In(cos“ x ) %3D

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Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B }sin'x + C {c}-cos'x + C {D} sin 2x + C

A: Given query is to find the incorrect option for the integral.

Q: -2x 2) (² f(x, y) = e¯ fxx + fyy = 0 Consider -2y cos 2y - e cos 2x. Verify that

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 1. Evaluate 9/ COS x (a) (1 – x)e dx (b) ,"™ dx p) A-2 sin r -

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Q: x2 sin3(x) Q.2\ Find dx if y = In cos(x*).V1+x/

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Q: به)ک ن ان -)f Ssin*(x)cos°(x)dx du )کی + 207 - )J No appropriate Match au)قی - 207 - ه-)J du )کی +…

A: Find the integral match of the integral sin5xcos5x.

Q: 7. Find (a) y = (x* + 5x) cos 5x %3D dx

A: We can find the derivative using product rule as below