Ise the function f and the given real number a to find (f-)'(a). (Hint: See Example 5. If an answer does not exist, enter DNE.) f(x) = cos(2x), 0

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: 14) Find aset of parametnic equetians for the rectangular aquetiag d= 4x2 tust Setisfies fue…

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Q: s(2) dr=3 and s (4)d. f (x)dx: =-2. what is (x)dx? Make sure to justify your answer -2 or the…

A: We can find the answer as below using property of integration.

Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: 7. For what values of m does the function y = e™ satisfying the following equation y" – 3y' – 10y =…

A: Here is the solution:

Q: Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) –…

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Q: A company determines that its demand function is given by p(g) = - 0.8q + 576 and that its cost…

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Q: Find the measure of the angle a ircle. 13. (플,-)

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Q: Given (x) dx = F(x) dx = 7. 14 and %3D evaluate %3D (a) f(x) dx. (b) f(x) dx. (c) f(x) dx. 5. (d)…

A: Definite integration property

Q: Find the volume of the solid that is bounded by the surfaces z = 82 - x2 - y2, z = 0, x = 0, y = 0…

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Q: Solve the following integrals: 1. S 7e*dx 4. S 12*+1dx 5. S-dx 2. S(5ex – 6*)dx 3. Ј 3(5)dx 6.…

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 13 r(t) = t²i + t'"j K(t) =

A: Find k(t).

Q: answer is partialy Answer the questions for the following polar equation. 3 r = 1- cose (a) Identify…

A: Parabola

Q: y = sec?(x), 0s

A: Here is the solution

Q: d Calculate ri(t) r2(t)] and rı(t) x r2(t)] first by differentiating dt the product directly and…

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Q: t- 36 Let g(t) = VE -6 a. Make two tables, one showing the values of g for t= 35.9, 35.99, and…

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Q: - 9y" = 27 %3D

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Q: п a) Σ-1 n=1 n2 b) Ση-1 ι=1 (2")²

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Q: Please do it right

A: We have to solve

Q: (e) for tue ginen point in poler coordiinetes , fird tue comespandy ctenquler Coorelinetes fer tue…

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Q: ) Find an equation of the line tangent to the curve y = x²e²-3 at a = 3.

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Q: (b) Solve the following initial value problem: dy cos? t sin t y(0) = 2. dt

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Q: Describe the graph of the equation: r = 7hi – 9j + (1 + 61)k. [Choose the correct answer.] O The…

A: Given problem:- Describe the graph of the equation: r = 7ti − 9j + (1 + 6t)k.

Q: Suppose that in the inventory problem, the storage cost depends on the maximum inventory size,…

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Q: Consider the initial value problem. y'' − y' = ex,              y(0)=0,   y'(0)=0 (a) Write the…

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Q: Evaluate | (2x – y) dx + (x + 7y) dy. C: x-axis from x = 0 to x = 8

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Q: 5 y = 4x+3y+2 3r+2y+1

A:

Q: Use the ratio test to determine whether the series is Converyent divorgent or 2" n! (-1)" 5.8.…

A: an=(-1)n 2n n! 5·8·11·.....· (3n+2) When applying ratio test for alternatingseries, the absolute…

Q: Let f a) Simplity the expression tlath), f() XRt 50C43. Using f loc)

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Q: Answer the questions for the following polar equation. 3 r 3= 3+10cos0 (a) Identify the conic as a…

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Q: x’D² – 2xD+ 2 y=4x

A: Using Cauchy differential equations,

Q: Use the Ratio Test to determine the radius of convergence of Eo (Use symbolic notation and fractions…

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Q: Clairaut's Theorem Give one example of a function where the Clairaut Theorem fails, and justify your…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: x f(p)%3D5110-5p-0.3p" (A) p 15 (C) p 80 (B) p 70

A: Given :     Elasticity

Q: Eses: Find the derivatives of: 1 In sinx, 2 - sin(lnx), 3 - e-cosx 4 - /cos(3x - 1), 2 - [1+ cos(x?…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Evaluate the double integral over the rectangular region 9(a sin(y) – y sin(x)) dA; R= {(x,y) : 0…

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Q: The graph of f shown below has vertical asymptotes at X= - 2 and x = 4. Find the following limits.…

A: Solution is given below

Q: Can you find the second subpart to this wue

A: This question has been solved completely. Please ask your query clearly.

Q: a) Find the average acceleration in the first 3 seconds. b) The particle changes direction twice.…

A: Here I am providing my handwritten solution.

Q: You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into…

A: Linear equations

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain.

Q: 5: A party planner is trying to hang a sign between a house and a palm tree for someone's birthday…

A:

Q: What is the annual nominal rate compounded daily for a bond that has an annual yield of 5.2%? The…

A: Use formula of annual percentage yield

Q: -Find Taylor or Maclaurin for the following functions: 3) 2) f (x) = e* at a = 2

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Q: Waste Management Company wants to construct a dumpster in the shape of a rectangular solid with no…

A: We need to find dimension.

Q: What is the equation of the plane to the surface z = e3y sin(3x) +2 at the point P ,0, 3 %3D O x- y…

A: The solution is given in the next step.

Q: 7 Does the series 2 converge or diverge? n= 1 Choose the correct answer below. O A. The series…

A: