Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Chapter 5, Problem 31ECP
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To solve: The equation
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Evaluate the following integrals, showing all your working
Consider the function f(x) = 2x³-4x2-x+1.
(a) Without doing a sketch, show that the cubic equation has at least one solution on the interval
[0,1]. Use a theorem discussed in lectures, or see Section 1.8 of Calculus (7th ed) by Stewart.
Ensure that the conditions of the theorem are satisfied (include this in your solution)
(b) Now, by sketching the cubic (by hand or by computer), you should see that there is, in fact,
exactly one zero in the interval [0,1]. Use Newton's method to find this zero accurate to 3
decimal places. You should include a sketch of the cubic, Newton's iteration formula, and
the list of iterates. [Use a computer if possible, e.g., a spreadsheet or MatLab.]
Evaluate the following integrals, showing all your working
Chapter 5 Solutions
Practical Business Math Procedures
Ch. 5.1 - Write equations for the following (use the letter...Ch. 5.1 - Solve the following:
B + 24 = 60
D + 3D = 240
12B...Ch. 5.1 - Write equations for the following (use the letter...Ch. 5.1 - Solve the following:
B + 14 = 70
D + 4D = 250
11B...Ch. 5.1 - Prob. 1AHCh. 5.1 - Prob. 2AHCh. 5.2 - An L. L. Bean sweater was reduced $30. The sale...Ch. 5.2 - Kelly Doyle budgets of her yearly salary for...Ch. 5.2 - Micro Knowledge sells 5 times as many computers as...Ch. 5.2 - Susie and Cara sell stoves at Elliott’s...
Ch. 5.2 - Prob. 5PQCh. 5.2 - Prob. 6PQCh. 5.2 - Prob. 1EPQCh. 5.2 - Prob. 2EPQCh. 5.2 - Prob. 3EPQCh. 5.2 - Prob. 4EPQCh. 5.2 - Prob. 5EPQCh. 5.2 - Prob. 6EPQCh. 5.2 - Prob. 1AHCh. 5.2 - Prob. 2AHCh. 5.2 - Prob. 3AHCh. 5.2 - Prob. 4AHCh. 5.2 - Prob. 5AHCh. 5.2 - Prob. 6AHCh. 5.2 - Prob. 7AHCh. 5.2 - Prob. 8AHCh. 5.2 - Prob. 9AHCh. 5.2 - In 2016, Tony Rigato, owner of MRM, saw an...Ch. 5 - Prob. 1ECPCh. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Prob. 4ECPCh. 5 - Prob. 5ECPCh. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Prob. 8ECPCh. 5 - Prob. 9ECPCh. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Prob. 11ECPCh. 5 - Prob. 12ECPCh. 5 - Jessica and Josh are selling Entertainment Books...Ch. 5 - Prob. 14ECPCh. 5 - Dots sells T-shirts ($2) and shorts ($4). In...Ch. 5 - Dots sells a total of 250 T-shirts ($2) and shorts...Ch. 5 - Prob. 17ECPCh. 5 - Prob. 18ECPCh. 5 - Prob. 19ECPCh. 5 - Prob. 20ECPCh. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Prob. 22ECPCh. 5 - On a flight from Boston to San Diego, American...Ch. 5 - Prob. 24ECPCh. 5 - Bill’s Roast Beef sells 5 times as many sandwiches...Ch. 5 - Prob. 26ECPCh. 5 - Prob. 27ECPCh. 5 - Prob. 28ECPCh. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Prob. 31ECPCh. 5 - Solve the unknown from the following...Ch. 5 - If Colorado Springs, Colorado, has 1.2 times as...Ch. 5 - Prob. 34ECPCh. 5 - Prob. 35ECPCh. 5 - Prob. 36ECPCh. 5 - Prob. 37ECPCh. 5 - Prob. 38ECPCh. 5 - Prob. 39ECPCh. 5 - Prob. 40ECPCh. 5 - Prob. 41ECPCh. 5 - Prob. 42ECPCh. 5 - Prob. 43ECPCh. 5 - Prob. 1PTCh. 5 - Prob. 2PTCh. 5 - Prob. 3PTCh. 5 - Working at Staples, Jill Reese and Abby Lee sold a...Ch. 5 - Prob. 5PTCh. 5 - Prob. 6PT
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- Consider the equation, f(x) = x*. (a) Using the trapezoidal method with 3 columns, estimate the value of the integral f² f(x)dx. (b) Using the trapezoidal method with 10 columns, estimate the value of the integral f² f(x)dx. You many need software to help you do this (e.g. MATLAB, Excel, Google sheets). (c) Use software to accurately calculate the integral (e.g. Wolfram alpha, Matlab). Using this answer, comment on the answers you found in parts a) and b).arrow_forwardUsing the first-principles definition of differentiation, find the derivative of f(x) = = 2x²arrow_forwardEvaluate the following integrals, showing all your workingarrow_forward
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