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Hass, Weir, Thomas - University Calculus 1/e (Homework)

Chris Read

Addison Wesley, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score : 0 / 21

Due : Wednesday, September 1, 2010 10:00 PM EDT

About this Assignment

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Question
Points
1 2 3 4 5 6
0/4 0/3 0/1 0/7 0/5 0/1
Total
0/21

Description

Here are some textbook questions from University Calculus 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: HWTCalc1 1.1.024.
Question part
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Find a formula for each function graphed.
f(x) = {(text(),text(),text())
Enter a mathematical expression.
0 x 2
Enter a mathematical expression.
2 x 5

f(x) = {(text(),text(),text())
Enter a mathematical expression.
-1 x 0
Enter a mathematical expression.
0 x 2

Click here for help with symbolic formatting.

2. –/3 points Notes Question: HWTCalc1 2.3.016.
Question part
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0/3
 
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 - 5, L = -6, x0 = -0.5, = 0.08
Enter a number.
 < x <
Enter a number.


Give the largest value for > 0 such that for all x satisfying 0 < |x - x0| < the inequality |f(x) - L| < holds.
=
Enter a number.


3. –/1 points Notes Question: HWTCalc1 2.4.002.alt.
Question part
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Which of the following statements about the function y = f(x) graphed here are true? (Select all that apply.)




4. –/7 points Notes Question: HWTCalc1 3.9.008.
Question part
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0/7
 
If x, y, and z are the lengths of the edges of a rectangular box, the common length of the box's diagonals is s = √x2+y2+z2.
(a) Assuming that x, y, and z are differentiable functions of t, how is ds/dt related to dx/dt, dy/dt, and dz/dt?
ds/dt =
Enter a mathematical expression or equation with exact values.
dx/dt +
Enter a mathematical expression or equation with exact values.
dy/dt +
Enter a mathematical expression or equation with exact values.
dz/dt

(b) How is ds/dt related to dy/dt and dz/dt if x is constant?
ds/dt =
Enter a mathematical expression or equation with exact values.
dy/dt +
Enter a mathematical expression or equation with exact values.
dz/dt

(c) How are dx/dt, dy/dt, and dz/dt related if s is constant?
0 = dx/dt +
Enter a mathematical expression or equation with exact values.
dy/dt +
Enter a mathematical expression or equation with exact values.
dz/dt


5. –/5 points Notes Question: HWTCalc1 4.4.004.
Question part
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0/5
 
Consider the function graphed below.

y=9/10 x^(1\/3)(x^2-5)

Identify the inflection point of the function.
x1 =
Enter an exact number.

Identify the local maximum of the function.
x2 =
Enter a number.

Identify the local minima of the function.
x3 =
Enter a number.

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



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




6. –/1 points Notes Question: HWTCalc1 4.5.012.
Question part
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0/1
 
Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 6.

Enter a number.

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