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Larson et al - Essential Calculus ET 1/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 1/14

Due: Friday, September 10, 2010 22:00 EDT

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Question
Points
1 2 3 4 5
1 0/3 0/2 0/6 0/2
Total
1/14

Description

Here are some textbook questions from Essential Calculus: Early Transcendental Functions 1/e by Ron Larson, Robert P. Hostetler, and Bruce H. Edwards published by Brooks/Cole. Click here for a list of all of the questions coded in WebAssign.


Instructions

This demo assignment allows many submissions and makes the answer key available after the first submission so you can see the correct answers. (Typically, the answer key is posted after the due date!)



1. 1/1 points All Submissions Notes Question: LarEssCalc1 1.6.056.
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1/1
 
Find the following limit where f(x) = 9x2 − 7x.
lim_(Deltax->0)(f(x+Deltax)-f(x))/(Deltax)
<math><mrow><mn>18</mn><mi>x</mi><mo>-</mo><mn>7</mn></mrow></math> Your answer is correct.18x-7

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2. –/3 points Notes Question: LarEssCalc1 1.8.046.
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An L = 20 foot ladder is leaning against a house as shown in the figure below.
If the base of the ladder is pulled away from the house at a rate of v = 5 feet per second, the top will move down the wall at a rate given by the equation below, where x is the distance between the base of the ladder and the house.
r = (v x)/sqrt(L^2-x**2) text( ft/sec)
(a) Find the rate r when x is 5 feet. (Round to two decimal places.)
Enter a number.
 ft/sec

(b) Find the rate r when x is 15 feet.
Enter a number.
 ft/sec

(c) Find the limit of r as x L−. (If you need to enter infinity or -infinity, type INFINITY or -INFINITY.)
Enter a number.

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3. –/2 points Notes Question: LarEssCalc1 2.7.022.
Question part
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0/2
 
A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.
(a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when h is 1.1 feet deep? (Round to three decimal places.)
Enter a number.
 ft/min

(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.1, determine the rate at which water is being pumped into the trough. (Round to three decimal places.)
Enter a number.
 ft3/min

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4. –/6 points Notes Question: LarEssCalc1 3.3.088.
Question part
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0/1 0/1 0/1 0/1 0/1 0/1
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0/6
 
The function s(t) describes the motion of a particle along a line for 0 t 60. (Give your answers correct to 3 decimal places.)
s(t) = 4 t**2-6 t+7

(a) Find the velocity function v(t) of the particle at any time t 0.
v(t) =


(b) Identify the time interval when the particle is moving in a positive direction.
(
Enter a number.
,
Enter an exact number.
)

(c) Identify the time interval when the particle is moving in a negative direction.
(
Enter an exact number.
,
Enter a number.
)

(d) Identify the time when the particle changes its direction.
t =
Enter a number.

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5. –/2 points Notes Question: LarEssCalc1 4.2.066.
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A child places n cubic building blocks in a row to form the base of a triangular design(see figure). Each successive row contains two fewer blocks than the preceding row. Find a formula for the number of blocks, N, in the design. (Hint: The number of building blocks in the design depends on whether n is odd or even.)
If n is odd, N =
If n is even, N =

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