Questions from General Calculus


Q: Determine whether f'(0) exists. /

Determine whether f'(0) exists.

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Q: Determine whether f'(0) exists. /

Determine whether f'(0) exists.

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Q: Guess the value of the limit (if it exists) by

Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct to six decimal places).

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Q: In Chapter 7 we will be able to show, under certain

In Chapter 7 we will be able to show, under certain assumptions, that the velocity v (t) of a falling raindrop at time t is where t is the acceleration due to gravity and is the terminal velocity of t...

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Q: (a). Show that lim x→∞ e-x/

(a). Show that lim x→∞ e-x/10 = 0. (b). By graphing y = e-x/10 and y = 0.1 on a common screen, discover how large you need to make x so that e-x/10 < 0.1. (c). Can you solve part (b) without using a g...

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Q: (a). Show that limx→∞ 4x2 – 5x/2x2

(a). Show that limx→∞ 4x2 – 5x/2x2 + 1 = 2. (b). By graphing the function in part (a) and the line y = 1.9 on a common screen, find a number N such that 4x2 – 5x/2x2 + 1 > 1.9 when x > N What if 1.9 i...

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Q: Use a table of values to estimate the value of the limit

Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically.

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Q: (a). If F (x) = 5x / (

(a). If F (x) = 5x / (1 + x2), find F' (2) and use it to find an equation of the tangent line to the curve y = 5x/ (1 + x2) at the point (2, 2). (b). Illustrate part (a) by graphing the curve and the...

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Q: Use a table of values to estimate the value of the limit

Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically.

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Q: Use a table of values to estimate the value of the limit

Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically.

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