Select the basic integration formula you can use to find the indefinite integral. Do not integrate. It si t sin(3t²) dt

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Q: Given f(x) = g(x)h(x), find f'(3) given g(3) = 4, g'(3) = -1, h(3) = -5 and h'(3)=1.

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Q: Solve the given initial-value problem. d²y d8² y(0) = + y = 0, y(π/3) = 0, y'(π/3) = 4

A: Here,  We know that, for the homogeneous 2nd order equation of the form  , the characteristic root…

Q: Select the basic integration formula you can use to find the indefinite integral. Do not integrate.…

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Q: The table below shows values for a differentiable function f whose derivative f' is also continuous.…

A: The table below shows values for a differential function  whose derivative  is also…

Q: 6 a. Prove that if z = (ax + by)², then x b.Let z = +yzy =In(x² + y²). Show that 322 + 3 = 0 əx2 Əy…

A: (a) Given that           z = (ax+by)2 Then we have to prove that xzx'+yzy'=2z .

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A: We have,Acceleration vector: a(t)=⟨7t , e-t ,11⟩

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A: We need to find coordinates.

Q: Find the value of sec 0 for the triangle shown below. 76°F √3 A 2 8 02 05/31/10 √√3 12

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Q: 86°F Sunny If cot 8= and csc 8>0, find csc 8. √13 O √13 O 2 2 O 13 3 Searc

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Q: Evaluate the definite integrals using the graph of f(z) below. (a) ³1 (2) dz = (b) [₁²1 (2) dz = (c)…

A: Graph is given

Q: 4 Complete the following implications: a. z = (x²y4 + 2)5 → da

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Q: Find the general solution of the given second-order differential equation. 2y" - 5y' + 6y=0 y(x) =

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Q: 8) A runner was training for a 21 mile long race. The distance D (in miles) in function of time t…

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Q: Consider the following. optimize f(r, p)= 3₁² + rp-p² + p subject to g(r, p) = 3r + 4p = 1 (a) Write…

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Q: a) Find the first and second derivatives. f'(x) = f"(x) =

A: The function is given as f(x)=4x-4.

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

A: Ordered pair of the point on the unit circle for the following angle 600° .

Q: If sine = -and cot 8>0, find tan 8. 0 13/10 34 O 0 -3 413

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Q: Find the following higher order derivatives. If f(x) = (2x - 5)53, find f28 (x). If f(x) = sin(3x +…

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

A: Given that circle is a unit circle.

Q: Suppose f(x) = 9" log5 (x). Find: ƒ'(x) = Note: Enter In(a) In(b) for log(a).

A: Givenf(x) = 9x log5(x)

Q: Cx² f(x) = = if x 1 { 6 C-X

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Q: -8 Provide your answer below: -6 -4 10 MAT 8 6 2 -6 -8- 10 X Given the graph of f(x) in the figure,…

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Q: please evaluate the integral also

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Q: In each of the following problems [8]-[9]: [8] [9] (a) find all equilibrium solutions of the…

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Q: K Find the area of a cone (not including the base) with base radius r and height h using a…

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Q: Evaluate the following double integral over the region R. SSE R dA; R = {(x,y): 0≤x≤ 1, 9≤ y ≤ 16}

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Q: When entered into a calculator, the answer is 0.65669823. However, the homework assignment says it…

A: How do We get correct answer -8.3541922335348?

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Q: Find the volume of the solid generated by revolving the region bounded by y = 3x², y = 0, and x = 3…

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Q: Find the curvature of the curve r(t) = (cos(5t), sin(5t), 5t) at the point t = 0 Give your answer to…

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Q: 113 Let A 12 4 12 21 45, For what values of a, does the linear system Az = b have no solution? and…

A: Let  and To determine the values of , for which the system  have no solution.