H) The position of a bug moving along a straight path is given by s(t)=t²-2t+3. At what time, t, is the instantaneous velocity equal to the average velocity of the bug on [0,6]?

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A: Here we have to the factorization.

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A: Given query is to find the derivative.

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A: Graph is given here

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Q: 3v-v³ V4-1

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Q: 49-54 Assume that all the given functions have continuous second-order partial derivatives. 0…

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Q: 3. For the function g(x) = x³ - 2x² -1, at what tangent point is the instantaneous rate of change…

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Q: . Find the maximum and the minumum values of the function f(x, y) = 81x² + y² subject to 4x² + y² =…

A: Please see the below picture for detailed solution.

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Q: Suppose that F(x) = f(g(x)) and g(3) = 6, g'(3) = 4, f'(3) = 1, and f'(6) = 7. Find F'(3). F' (3) =

A: Suppose that F(x) = f(g(x)) and g(3)=6, g'(3) =4, f'(3) = 1, and f'(6) =7. Find F'(3).

Q: x²dx x² + 4 150. ·S₁

A:

Q: What is the probability that a number selected at random from the first 1,000 positive integers is…

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Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 5​% of the…

A: Given: A0 = 60 Dispose rate (k): 5% = 5/100 = 0.05 Amount of drug be changed after 7 years T = 7

Q: Suppose f(x) = 19x + 18e. Find: ƒ'(2) =

A: Given: f(x)=19xe+18ex

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Q: 19. f(t) = eat sin bt

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Q: Integral of (5x3 + 1 - x4) dx

A: The given integration is: ∫5x3+1-x4dx

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Q: 17. ・ p1/2 z√/1-4x²¹ dz

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A: Use a computer algebra system to find the approximate surface area of the solid generated by…

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Q: Sketch the graph of the quadratic function indicating the a) coordinates of the vertex, b) the…

A: Consider the quadratic function given by : f(x) = 3 − 4x − 4x2

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Q: 1. f(x)=-0.2(x-1)(x+3)(x-4)² a. What is the degree of the polynomial f(x) and what is the leading…

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