hw11-30-A - Math 170-007 Homework 11/30-A Fall 2010 1 The...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 170-007 Homework 11/30-A Fall 2010 1. The graph of a function is shown at right. You can assume that the curved portion of the graph is a semicircle. The function measures force, in units of lbs, with input measured in feet. 4 (a) Compute f (x) dx. 0 Use any methods, but give correct units. 8 (b) Compute f (x) dx. 2 Use any methods, but give correct units. 2. Graph the function A(r ) = 4 − r 2 on the domain 0 ≤ r ≤ 1. Scale your r -axis so that there are at least ten tickmarks between 0 and 1. Assume that the function A measures area in units of in2 , and that r is measured in feet. Estimate 1 A(r ) dr 0 Use at least ten rectangles to compute your estimate. Make sure your answer has correct units. 3. The table shows values of a function of time, f (t). Units are indicated in the table. Estimate 20 f (t) dt 0 Use at least ten rectangles to compute your estimate. Make sure your answer has correct units. t (s) f (◦ R/s2 ) 0 2 4 .16 .09 .03 6 −.02 8 19 −.06 −.09 12 −.11 14 −.12 16 18 −.12 −.11 4. From Schaum’s Outline, Chapter 23: Problems 14 and 11. (In that order). 20 −.09 5. After you finish problem 11 from Schaum’s, compute each of 1√ (a) 0 5 1 − x2 dx. √ 1 (b) 0 x + 1 − x2 dx. √ 0 (c) 1 2x − 3 + 1 − x2 dx. 6. Suppose that f is a function of x and you are given: 5 7 f (x) dx = 6, 10 f (x) dx = 2.5, 2 5 Compute (a) (b) (c) 7 f (x) dx 2 10 f (x) dx 7 10 f (x) dx 5 Hints and Answers 1. (a) π + 4 ≈ 7.14 ft·lbs. (b) 8 ft·lbs. 2. Approx 3.7 in2 ·ft; or approx 44.4 in3 . 3. Approx −0.70 ◦ R/s. 5. (a) 5π/4; (b) 1/2 + π/4; (c) 2 − π/4. 6. (a) 8.5; (b) −4.5; (c) −2. and f (x) dx = 4 2 ...
View Full Document

This note was uploaded on 10/11/2011 for the course MATH 170 taught by Professor Staff during the Spring '08 term at Boise State.

Page1 / 2

hw11-30-A - Math 170-007 Homework 11/30-A Fall 2010 1 The...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online