What is the answer for this Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's theorem. (Enter your answers as a comma-separated list.) f(x) = 3x2 − 6x + 8,   [−1, 3]

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positi...

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A: To find the curve satisfying the conditions

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A: The given integral is (2-sec2x)eln(π/e)sec3x/sec(3A-x).

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Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: To evaluate the integrals using the formulas for area of triangle and circles. 

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Q: The resulting integral of sin -cos-sino de has the form -F(0)+C- What should be the value of e to ma...

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Q: Question 9 Which of the following integrals is equal to the integral f(3x-5) dr? 7/3 A f(2) dz 7/3 B...

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Q: Question 4 The slope of the tangent line at any point (x, y) on a curve is 2. If the point (9, 3) is...

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Q: What is the integrable form of dr? ex – e -* e u²) 2 du 2 du du

A: We have to find the integral

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A: Area of the region between the curve and the x - axis is 4 square units Hence option D is the correc...

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A: SOLUTION-

Q: The integral of (10^x/cos 10^x) dx may be written as A ln (sec B^x + tanB^x) + C. Where A, B and C a...

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with continu...

A: Solution is here

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Q: ex What is the integrable form of dx? e* - e -X

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Q: dx Evaluate Зх — 12

A: To evaluate ∫14dx3x-12.

Q: If F (x) is an antiderivative of x-2+x-1, then what is the value of F(1) – F (– 1)? 3 -1 -2

A: Given the antiderivative, to find the value of given expression.

Q: S- 10 dx may be written as Aln secB*+ tanB*|+ C, where A, B, and C are constants cos10* not equal to...

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Q: cos2r- sin2x cos21 =-F(x)+C What is Fx)? =xp For COSX – sinư A 2. --cos 'x- cosT+-sin't 3 cos'x sinx...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: 4 5 Points ntegral of sin-cos-sin0 de has the form (e) +C. What should be the value of e =0?

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Q: 10* -dx may be written as Aln secB*+ tanB*|+C, where A, B, and C are constants cos10* not equal to z...

A: We will do this question by integrating the given integral and comparing it with the given expressio...

Q: Find the area of the region bounded by the curve y=1- 2 and the x-axis. A) 4 square units 6 square u...

A: We have,

Q: Cosx - e sinx sinx +x +e The integral dx may be written as me „nsinx +px+qe +C, where m, n, p, q, r,...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 56/3 square ...

A: Put y= 2(x)^3/2.

Q: Which of the following is an improper integral? A dx -4 x2 – x - 2 In(x++1) dx -1 © dx 2x+ 8 2 In3e ...

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Q: If F (x) is an antiderivative of x-2+x-1, then what is the value of F(1) - F(- 1)? A) 3 B -1 -2

A: Please refer to the image below

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Q: dx Evaluate Зх- 12 A - C) 8. B.

A:   The given integral is ∫14dx3x-12.   Compute the integral ∫dx3x-12 as follows. ∫dx3x-12=∫dx3(x-4)  ...

Q: The slope of the tangent line at any point (x, y) on a curve is 2,. If the point (9, 3) is on the cu...

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Q: 1280 Consider the function f(x) = 5x + on the interval [6, 17]. Find the absolute extrema for the fu...

A: solution is given below...

Q: The slope of the tangent line at any point (x, y) on a curve is 2,/x- If the point (9, 3) is on the ...

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Q: Find the area of the region bounded by the curve y=1-–x2 and the x-axis. O 6 square units O 4 square...

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Q: If FX) is an antiderivative of x2 +x', then what is the value of F(1) - R-1)3 (A) -2 B) -1 (c) o D) ...

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Q: Find the area of the region bounded by the curve y= 1- x² and the x-axis. A) 0 (B) 8 square units C)...

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Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4 O 63/2 square un...

A: Please refer to the image below 

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Q: The general antiderivative of (3x2-4)2x2 can be written as What is the value of the sum of a+b+d+m +...

A: Given :   (3x2-4)2x2

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: What is the distance between the points (1, -2, 0) and (4, 0, 5)? 38 48 58 28

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Q: What is the integrable form of sin-cos-sino do? 2 2 u² – 1 du 2 | cosu du 1- u? du -2 | sinu du

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Q: d?y Find the equation of the curve for which dx2 - =6-9x and which passes through the points (0, -1)...

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Q: What is the integrable form of sin-cos-sino do?

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Q: b d +-x" + C. What is the value of the sum a The general antiderivative of (3x2 – 4) 2x2 can be writ...

A: The general antiderivative of (3x2-4)2x2 can be written as (a/m)xm-(b/n)xn+(d/p)xp+C.  Now we have t...

Q: integrable form of sin-cos-sine 2 2 | u²-1 du sinu du V 1-u2 du

A: We have to choose the correct option according to the given information

Q: 3 dx Evaluate the J 2+81 improper integral:

A: We need to integrate∫-∞∞3x2+81dxWe know that ∫1x2+a2dx=1atan-1xa+C ---{1}