If r(x) = -cos (x + 9) +7, determine the antiderivative of r(x). (Do not include the constant C'in your answer.) Provide your answer below:

Q: determine L[f ∗g]. Q. f(t)=t2, g(t)=e2t sin2t.

A: Then given function is ft=t2, gt=e2tsin2t. We have to determine Lf*g.

Q: Find G (u), the antiderivative of g(u) = cos² u sin u du

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Q: a²f ô²f Ôy 1. If f(x,y)= e¯* sin y then find .2

A: Using differentiation ,

Q: Find L[f]for each f(t). Q) f(t)=e5t cos4t.

A: The given function is  ft=e5tcos4t We have to find the Laplace transformation of a given function.

Q: 2/x?y" – 2xy' + 2y = x³ cos x -

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Q: Q2// B :- Find y' if x+y*=6xy sin(x)

A: Solution:

Q: evaluate the antiderivative below

A: Topic:- integration  Note:- as per our guideline if more than one question uploaded than only first…

Q: -dx -? 1- 2x + x2 12. Which of the following is an antiderivative of the function f(x) A. tan-1(x –…

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Q: Calculate L4 for f(x) = 98 cos (2) over [27,²]. L4 ←

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Q: - For the following, let y(x) Aet? 3 - where A is an arbitrary constant. a. Verify that this y is a…

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Q: Find the most general antiderivative of each of the following functions. Verify that your answer is…

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Q: f(x, y, z) fxyz In (4xy) 22 Let + sin(xy² + ye²). Find

A: Note:    We use the following notation fxyz=∂∂z∂∂y∂f∂x

Q: For the function f(x) = 2 sec (2x) tan (2x) + sin(x) + cos(x), find the most general antiderivative…

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Q: - x cos x

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Q: Calculate L4 for f(x) = 36 cos (2) over L4 = - over [27,27]. 4

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