Hass, Weir, Thomas - University Calc: Alternate 1/ (Homework)

Chris Read

Addison Wesley, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score : 0 / 16

Due : Wednesday, September 1, 2010 10:30 PM EDT

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Question

Points

1	2	3	4	5	6
0/4	0/3	0/1	0/2	0/5	0/1

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0/16

Description

Here are some textbook questions from University Calculus: Alternate Edition 1/e by Joel Hass, Maurice Weir and George 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. –/4 points Notes Question: HWTCalcA1 1.1.024.

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Find a formula for each function graphed.

	Enter a mathematical expression. 1	0 x 2
	Enter a mathematical expression. 2	2 x 5

	Enter a mathematical expression. 3	-1 x 0
	Enter a mathematical expression. 4	0 x 2

Click here for help with symbolic formatting.

2. –/3 points Notes Question: HWTCalcA1 2.3.016.

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You are given a function f(x) and numbers L, x₀, and

> 0. Find the open interval about x₀ on which the inequality |f(x) - L| <

holds.

f(x) = 2x - 4, L = -6, x₀ = -1,

= 0.02

< x <

Give the largest value for

> 0 such that for all x satisfying 0 < |x - x₀| <

the inequality |f(x) - L| <

holds.

3. –/1 points Notes Question: HWTCalcA1 2.4.002.alt.

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Which of the following statements about the function y = f(x) graphed here are true? (Select all that apply.)

$lim_(x->c) f(x) text( exists at every ) c text( in the open interval ) $-1,1$$ lim_(x->2) f(x)=2

$lim_(x->c) f(x) text( exists at every ) c text( in the open interval ) $1,3$$ lim_(x->3^+) f(x) text( does not exist)

4. –/2 points Notes Question: HWTCalcA1 3.8.046.

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(a) About how accurately must the interior diameter of a 25 meter high cylindrical storage tank be measured to calculate the tank's volume to within 1% of its true value?
within %
(b) About how accurately must the tank's exterior diameter be measured to calculate the amount of paint it will take to paint the side of the tank to within 9% of the true amount?
within %

5. –/5 points Notes Question: HWTCalcA1 4.4.004.

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Consider the function graphed below.

$y=9/12 x^(1\/3)(x^2-6)$

Identify the inflection point of the function.
x₁ =
Identify the local maximum of the function.
x₂ =
Identify the local minima of the function.
x₃ =
Identify intervals on which the function is concave up. (Select all that apply.)

< x < x₂ x = x₂ x₂ < x < x₁ x = x₁ x₁ < x < x₃ x = x₃ x₃ < x <

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

< x < x₂ x = x₂ x₂ < x < x₁ x = x₁ x₁ < x < x₃ x = x₃ x₃ < x <

6. –/1 points Notes Question: HWTCalcA1 4.5.012.

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Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 2.

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Hass, Weir, Thomas - University Calc: Alternate 1/ (Homework)

Current Score : 0 / 16