Thomas - Calculus 11/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score : 1 / 15

Due : Monday, November 29, 2010 22:00 EST

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Points

1	2	3	4	5
0/1	0/1	1/4	0/7	0/2

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1/15 (6.7%)

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Here are some textbook questions from Calculus 11/e by Thomas published by Addison Wesley. Click here for a list of all of the questions coded in WebAssign.

Instructions

This demo assignment allows many submissions and allows you to try another version of the same question for practice.

1. –/1 points Notes Question: Thomas11 1.1.004.

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If -1 < (y - 5) < 1, which of the following statements about y are necessarily true? (Select all that apply.)

y < 6 1/6 < (1/y) < 1/4 2 < (y/2) < 3 |y - 5| < 1 0 < (y - 4) < 2 4 < y < 6 none of these y

4 -6 < y < -4

2. –/1 points Notes Question: Thomas11 2.1.006.

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Explain why the limit does not exist.

3. 1/4 points All Submissions Notes Question: Thomas11 3.1.002.

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Using the definition, calculate the derivative of the function below, then find the values of the derivatives as specified.

f(x) = 5 - 5x⁵

f '(x) =	Enter a mathematical expression. 1

f '(-3) =	Enter a number. 2
f '(0) =	Enter an exact number. 3
f '(2) =	Enter a number. 4

4. –/7 points Notes Question: Thomas11 4.4.002.

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Consider the function graphed below.

$y=x^4/4-8\x^2+7$

Identify the inflection points of the function.
x₁ = (smaller value)
x₂ = (larger value)
Identify the local maximum of the function.
x₃ =
Identify the local minima of the function.
x₄ = (smaller value)
x₅ = (larger value)
Identify intervals on which the function is concave up. (Select all that apply.)

< x < x₄ x = x₄ x₄ < x < x₁ x = x₁ x₁ < x < x₃ x = x₃ x₃ < x < x₂ x = x₂ x₂ < x < x₅ x = x₅ x₅ < x <

Identify intervals on which the function is concave down. (Select all that apply.)

< x < x₄ x = x₄ x₄ < x < x₁ x = x₁ x₁ < x < x₃ x = x₃ x₃ < x < x₂ x = x₂ x₂ < x < x₅ x = x₅ x₅ < x <

5. –/2 points Notes Question: Thomas11 5.1.014.

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An object is shot straight upward from sea level with an initial velocity of 500 ft/sec.

(a) Assuming that gravity is the only force acting on the object, give an upper estimate for its velocity after 5 sec have elapsed. Use g = 32 ft/sec² for the gravitational acceleration.
ft/s
(b) Find a lower estimate for the height attained after 4 sec.
ft

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Thomas - Calculus 11/e (Homework)

Current Score : 1 / 15