Questions from General Calculus


Q: Use the given information to make a good sketch of the function

Use the given information to make a good sketch of the function f (x) near x = 3. f (3) = -2, f ‘(3) = 0, f ’’(3) = 1

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Q: Use the given information to make a good sketch of the function

Use the given information to make a good sketch of the function f (x) near x = 3. f (3) = 1, f ‘(3) = 0, inflection point at x = 3, f ‘(x) > 0 for x > 3

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Q: Use the given information to make a good sketch of the function

Use the given information to make a good sketch of the function f (x) near x = 3. f (3) = 4, f (3) = - 3/2 , f (3) = -2

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Q: Use the given information to make a good sketch of the function

Use the given information to make a good sketch of the function f (x) near x = 3. f (3) = -2, f ‘(3) = 2, f ’’(3) = 3

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Q: Use the given information to make a good sketch of the function

Use the given information to make a good sketch of the function f (x) near x = 3. f (3) = 3, f ‘(3) = 1, inflection point at x = 3, f ’’(x) < 0 for x > 3

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Q: Refer to the graph in Fig. 19. Fill in each

Refer to the graph in Fig. 19. Fill in each box of the grid with either POS, NEG, or 0. Figure 19:

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Q: The first and second derivatives of the function f (x)

The first and second derivatives of the function f (x) have the values given in Table 1. (a) Find the x-coordinates of all relative extreme points. (b) Find the x-coordinates of all inflection points....

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Q: Suppose that Fig. 20 contains the graph of y = s

Suppose that Fig. 20 contains the graph of y = s (t), the distance traveled by a car after t hours. Is the car going faster at t = 1 or t = 2? Figure 20:

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Q: Differentiate. y = 2 / 1 - 5x

Differentiate. y = 2 / 1 - 5x

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Q: Suppose that Fig. 20 contains the graph of y = υ

Suppose that Fig. 20 contains the graph of y = Ï… (t), the velo city of a car after t hours. Is the car going faster at t = 1 or t = 2? Figure 20:

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