Algebra and Trigonometry with Analytic Geometry, Classic Edition
12th Edition
ISBN: 9780495559719
Author: Earl Swokowski, Jeffery A. Cole
Publisher: Cengage Learning
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Question
Chapter 3, Problem 81RE
(a)
To determine
To find: Theexpression of volume.
(b)
To determine
To find: The expression of volume as function of depth.
(c)
To determine
To find: The expression of
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Algebra and Trigonometry with Analytic Geometry, Classic Edition
Ch. 3.1 - Plot the points A(5,2),B(5,2),C(5,2),D(5,2)...Ch. 3.1 - Prob. 2ECh. 3.1 - Plot the points A(0,0),B(1,1),C(3,3),D(1,1), and...Ch. 3.1 - Prob. 4ECh. 3.1 - Exer. 56: Find the coordinates of the points AF.Ch. 3.1 - Exer. 56: Find the coordinates of the points AF.Ch. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Exer. 1516: Show that the triangle with vertices A...Ch. 3.1 - Exer. 1516: Show that the triangle with vertices...Ch. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Given A(3,8), find the coordinates of the point B...Ch. 3.1 - Prob. 20ECh. 3.1 - Exer. 2122 . Prove that C is on the perpendicular...Ch. 3.1 - Prob. 22ECh. 3.1 - Exer. 2324: Find a formula that expresses the fact...Ch. 3.1 - Prob. 24ECh. 3.1 - Find a formula that expresses the fact that P(x,y)...Ch. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.2 - Prob. 1ECh. 3.2 - Exer. 120 . Sketch the graph of the equation, and...Ch. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Exer. 120 . Sketch the graph of the equation, and...Ch. 3.2 - Exer. 120 : Sketch the graph of the equation, and...Ch. 3.2 - Prob. 9ECh. 3.2 - Exer. 120 . Sketch the graph of the equation, and...Ch. 3.2 - Exer. 120: Sketch the graph of the equation, and...Ch. 3.2 - Prob. 12ECh. 3.2 - Exer. 120: Sketch the graph of the equation, and...Ch. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Prob. 54ECh. 3.2 - Prob. 55ECh. 3.2 - Prob. 56ECh. 3.2 - Prob. 57ECh. 3.2 - Prob. 58ECh. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Prob. 61ECh. 3.2 - Prob. 62ECh. 3.2 - Prob. 63ECh. 3.2 - Prob. 64ECh. 3.2 - Prob. 65ECh. 3.2 - Prob. 66ECh. 3.2 - Prob. 67ECh. 3.2 - Prob. 68ECh. 3.2 - Prob. 69ECh. 3.2 - Prob. 70ECh. 3.2 - Prob. 71ECh. 3.2 - Prob. 72ECh. 3.2 - Prob. 73ECh. 3.2 - Prob. 74ECh. 3.2 - Prob. 75ECh. 3.2 - Prob. 76ECh. 3.3 - Exer. 16: Sketch the line through A and B , and...Ch. 3.3 - Prob. 2ECh. 3.3 - Exer. 16: Sketch the line through A and B , and...Ch. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Exer. 1516: Sketch the graph of the line through P...Ch. 3.3 - Prob. 16ECh. 3.3 - Exer. 1718: Write equations of the lines.Ch. 3.3 - Exer. 1718: Write equations of the lines.Ch. 3.3 - Exer. 1920: Sketch the graphs of the lines on the...Ch. 3.3 - Exer. 1920: Sketch the graphs of the lines on the...Ch. 3.3 - Exer. 2132: Find a general form of an equation of...Ch. 3.3 - Exer. 2132: Find a general form of an equation of...Ch. 3.3 - Exer. 2132: Find a general form of an equation of...Ch. 3.3 - Exer. 2132 . Find a general form of an equation of...Ch. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Exer. 3336: Find the slope-intercept form of the...Ch. 3.3 - Prob. 34ECh. 3.3 - Exer. 3336: Find the slope-intercept form of the...Ch. 3.3 - Prob. 36ECh. 3.3 - Exer. 3738: Find a general form of an equation for...Ch. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.3 - Prob. 55ECh. 3.3 - Cheese production A cheese manufacturer produces...Ch. 3.3 - Childhood weight A baby weighs 10 pounds at birth,...Ch. 3.3 - Loan repayment A college student receives an...Ch. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Prob. 61ECh. 3.3 - Prob. 62ECh. 3.3 - Prob. 63ECh. 3.3 - Prob. 64ECh. 3.3 - Prob. 65ECh. 3.3 - Prob. 66ECh. 3.3 - Prob. 67ECh. 3.3 - Prob. 68ECh. 3.3 - Prob. 69ECh. 3.3 - Exer. 6970: The given points were found using...Ch. 3.4 - If f(x)=x2x4, find f(2),f(0), and f(4) .Ch. 3.4 - If f(x)=x3x2+3, find f(3),f(0), and f(2) .Ch. 3.4 - If f(x)=x43x, find f(4),f(8), and f(13) .Ch. 3.4 - Prob. 4ECh. 3.4 - Exer. 510: If a and h are real numbers, find (a)...Ch. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Exer. 1516: Explain why the graph is or is not the...Ch. 3.4 - Prob. 16ECh. 3.4 - Exer. 1718 . Determine the domain D and range R of...Ch. 3.4 - Prob. 18ECh. 3.4 - Exer. 1920: For the graph of the function f...Ch. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Exer. 2132: Find the domain of f . 32....Ch. 3.4 - Exer. 3334 : (a) Find the domain D and range R of...Ch. 3.4 - Exer. 3334 : (a) Find the domain D and range R of...Ch. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.4 - Prob. 57ECh. 3.4 - Prob. 58ECh. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Dimensions of a building A small office unit is to...Ch. 3.4 - Prob. 68ECh. 3.4 - Prob. 69ECh. 3.4 - Prob. 70ECh. 3.4 - Prob. 71ECh. 3.4 - Prob. 72ECh. 3.4 - Prob. 73ECh. 3.4 - Prob. 74ECh. 3.4 - Prob. 75ECh. 3.4 - Prob. 76ECh. 3.4 - Airport runway The relative positions of an...Ch. 3.4 - Prob. 78ECh. 3.5 - Exer. 12: Suppose f is an even function and g is...Ch. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Exer. 312: Determine whether f is even, odd, or...Ch. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.5 - Prob. 9ECh. 3.5 - Prob. 10ECh. 3.5 - Prob. 11ECh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Exer. 2732: If the point P is on the graph of a...Ch. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Exer. 3340: Explain how the graph of the function...Ch. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Exer. 3340: Explain how the graph of the function...Ch. 3.5 - Prob. 40ECh. 3.5 - Exer. 4142: The graph of a function f with domain...Ch. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5 - Prob. 47ECh. 3.5 - Prob. 48ECh. 3.5 - Prob. 49ECh. 3.5 - Prob. 50ECh. 3.5 - Exer. 4752: Sketch the graph of f . 51....Ch. 3.5 - Prob. 52ECh. 3.5 - Exer. 5354: The symbol $[x]$ denotes values of the...Ch. 3.5 - Prob. 54ECh. 3.5 - Prob. 55ECh. 3.5 - Prob. 56ECh. 3.5 - Exer. 5758: For the graph of y=f(x) shown in the...Ch. 3.5 - Prob. 58ECh. 3.5 - Prob. 59ECh. 3.5 - Prob. 60ECh. 3.5 - Prob. 61ECh. 3.5 - Prob. 62ECh. 3.5 - Prob. 63ECh. 3.5 - Prob. 64ECh. 3.5 - Prob. 65ECh. 3.5 - Prob. 66ECh. 3.5 - Prob. 67ECh. 3.5 - Prob. 68ECh. 3.5 - Car rental charges There are two car rental...Ch. 3.5 - Prob. 70ECh. 3.6 - Exer. 14: Find the standard equation of any...Ch. 3.6 - Prob. 2ECh. 3.6 - Exer. 14: Find the standard equation of any...Ch. 3.6 - Exer. 14: Find the standard equation of any...Ch. 3.6 - Exer. 512: Express f(x) in the form a(xh)2+k . 5....Ch. 3.6 - Prob. 6ECh. 3.6 - Exer. 512: Express f(x) in the form a(xh)2+k . 7....Ch. 3.6 - Exer. 512: Express f(x) in the form a(xh)2+k . 8....Ch. 3.6 - Prob. 9ECh. 3.6 - Exer. 512: Express f(x) in the form a(xh)2+k . 10....Ch. 3.6 - Prob. 11ECh. 3.6 - Exer. 512: Express f(x) in the form a(xh)2+k . 12....Ch. 3.6 - Exer. 1322: (a) Use the quadratic formula to find...Ch. 3.6 - Exer. 1322: (a) Use the quadratic formula to find...Ch. 3.6 - Exer. 1322: (a) Use the quadratic formula to find...Ch. 3.6 - Exer. 1322: (a) Use the quadratic formula to find...Ch. 3.6 - Exer. 1322: (a) Use the quadratic formula to find...Ch. 3.6 - Exer. 1322: (a) Use the quadratic formula to find...Ch. 3.6 - Exer. 1322: (a) Use the quadratic formula to find...Ch. 3.6 - Exer. 1322: (a) Use the quadratic formula to find...Ch. 3.6 - Exer. 1322: (a) Use the quadratic formula to find...Ch. 3.6 - Exer. 1322: (a) Use the quadratic formula to find...Ch. 3.6 - Exer. 2326: Find the standard equation of the...Ch. 3.6 - Exer. 2326: Find the standard equation of the...Ch. 3.6 - Exer. 2326: Find the standard equation of the...Ch. 3.6 - Exer. 2326: Find the standard equation of the...Ch. 3.6 - Exer. 2728: Find an equation of the form...Ch. 3.6 - Exer. 2728: Find an equation of the form...Ch. 3.6 - Exer. 2934: Find the standard equation of a...Ch. 3.6 - Exer. 2934: Find the standard equation of a...Ch. 3.6 - Exer. 2934: Find the standard equation of a...Ch. 3.6 - Exer. 2934: Find the standard equation of a...Ch. 3.6 - Prob. 33ECh. 3.6 - Prob. 34ECh. 3.6 - Exer. 3536: Find the maximum vertical distance d...Ch. 3.6 - Exer. 3536: Find the maximum vertical distance d...Ch. 3.6 - Prob. 37ECh. 3.6 - Prob. 38ECh. 3.6 - Infant growth rate The growth rate y (in pounds...Ch. 3.6 - Prob. 40ECh. 3.6 - Prob. 41ECh. 3.6 - Prob. 42ECh. 3.6 - Prob. 43ECh. 3.6 - Prob. 44ECh. 3.6 - Prob. 45ECh. 3.6 - Prob. 46ECh. 3.6 - Prob. 47ECh. 3.6 - Prob. 48ECh. 3.6 - Prob. 49ECh. 3.6 - Prob. 50ECh. 3.6 - Parabollc doorway A doorway has the shape of a...Ch. 3.6 - Path of a baseball Assume a baseball hit at home...Ch. 3.6 - Prob. 53ECh. 3.6 - Prob. 54ECh. 3.6 - Prob. 55ECh. 3.6 - Prob. 56ECh. 3.6 - Prob. 57ECh. 3.6 - Prob. 58ECh. 3.7 - Exer. 12: Find (a) (f+g)(3) (b) (fg)(3) (c)...Ch. 3.7 - Prob. 2ECh. 3.7 - Exer. 38: Find (a) (f+g)(x),(fg)(x),(fg)(x), and...Ch. 3.7 - Prob. 4ECh. 3.7 - Exer. 38: Find (a) (f+g)(x),(fg)(x),(fg)(x), and...Ch. 3.7 - Prob. 6ECh. 3.7 - Prob. 7ECh. 3.7 - Exer. 38: Find (a) (f+g)(x),(fg)(x),(fg)(x), and...Ch. 3.7 - Prob. 9ECh. 3.7 - Exer. 910: Find (a) (fg)(x) (b) (gf)(x) (c)...Ch. 3.7 - Prob. 11ECh. 3.7 - Exer. 1120: Find (a) (fg)(x) (b) (gf)(x) (c)...Ch. 3.7 - Exer. 1120: Find (a) (fg)(x) (b) (gf)(x) (c)...Ch. 3.7 - Prob. 14ECh. 3.7 - Exer. 1120: Find (a) (fg)(x) (b) (gf)(x) (c)...Ch. 3.7 - Exer. 1120: Find (a) (fg)(x) (b) (gf)(x) (c)...Ch. 3.7 - Exer. 1120: Find (a) (fg)(x) (b) (gf)(x) (c)...Ch. 3.7 - Exer. 1120: Find (a) (fg)(x) (b) (gf)(x) (c)...Ch. 3.7 - Prob. 19ECh. 3.7 - Exer. 1120: Find (a) (fg)(x) (b) (gf)(x) (c)...Ch. 3.7 - Prob. 21ECh. 3.7 - Prob. 22ECh. 3.7 - Prob. 23ECh. 3.7 - Prob. 24ECh. 3.7 - Prob. 25ECh. 3.7 - Prob. 26ECh. 3.7 - Prob. 27ECh. 3.7 - Prob. 28ECh. 3.7 - Prob. 29ECh. 3.7 - Prob. 30ECh. 3.7 - Prob. 31ECh. 3.7 - Prob. 32ECh. 3.7 - Exer. 2134: Find (a)(fg)(x) and the domain of fg...Ch. 3.7 - Prob. 34ECh. 3.7 - Prob. 35ECh. 3.7 - Prob. 36ECh. 3.7 - Prob. 37ECh. 3.7 - Prob. 38ECh. 3.7 - Prob. 39ECh. 3.7 - If S(r)=4r2 and D(t)=2t+5, find (SD)(t) .Ch. 3.7 - Prob. 41ECh. 3.7 - Prob. 42ECh. 3.7 - Prob. 43ECh. 3.7 - Prob. 44ECh. 3.7 - Spreading fire A fire has started in a dry open...Ch. 3.7 - Prob. 46ECh. 3.7 - Prob. 47ECh. 3.7 - Prob. 48ECh. 3.7 - Prob. 49ECh. 3.7 - Prob. 50ECh. 3.7 - Prob. 51ECh. 3.7 - Prob. 52ECh. 3.7 - Prob. 53ECh. 3.7 - Prob. 54ECh. 3.7 - Prob. 55ECh. 3.7 - Prob. 56ECh. 3.7 - Prob. 57ECh. 3.7 - Prob. 58ECh. 3.7 - Prob. 59ECh. 3.7 - Prob. 60ECh. 3.7 - Prob. 61ECh. 3.7 - Prob. 62ECh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Exer. 4352: (a) Sketch the graph of f . (b) Find...Ch. 3 - Prob. 46RECh. 3 - Prob. 47RECh. 3 - Prob. 48RECh. 3 - Prob. 49RECh. 3 - Prob. 50RECh. 3 - Prob. 51RECh. 3 - Prob. 52RECh. 3 - Prob. 53RECh. 3 - Prob. 54RECh. 3 - Prob. 55RECh. 3 - Prob. 56RECh. 3 - Prob. 57RECh. 3 - Prob. 58RECh. 3 - Prob. 59RECh. 3 - Prob. 60RECh. 3 - Prob. 61RECh. 3 - Prob. 62RECh. 3 - Prob. 63RECh. 3 - Prob. 64RECh. 3 - If f(x)=4x2 and g(x)=x, find the domain of (a) fg...Ch. 3 - Prob. 66RECh. 3 - Prob. 67RECh. 3 - Prob. 68RECh. 3 - Prob. 69RECh. 3 - Prob. 70RECh. 3 - Prob. 71RECh. 3 - Prob. 72RECh. 3 - Prob. 73RECh. 3 - Prob. 74RECh. 3 - Prob. 75RECh. 3 - Prob. 76RECh. 3 - Dimensions of a pen A pen consists of five...Ch. 3 - Distance between cars At noon, car A is 10 feet to...Ch. 3 - Constructing a storage shelter An open rectangular...Ch. 3 - Prob. 80RECh. 3 - Prob. 81RECh. 3 - Prob. 82RECh. 3 - Frustum of a cone The shape of the first...Ch. 3 - Prob. 84RECh. 3 - Prob. 85RECh. 3 - Prob. 86RECh. 3 - Prob. 87RECh. 3 - Prob. 88RECh. 3 - Prob. 89RECh. 3 - Prob. 90RECh. 3 - Prob. 1DECh. 3 - Prob. 2DECh. 3 - Prob. 3DECh. 3 - Prob. 4DECh. 3 - Prob. 5DECh. 3 - Prob. 6DECh. 3 - Prob. 7DECh. 3 - Prob. 8DECh. 3 - Prob. 9DECh. 3 - Prob. 10DE
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- Maximum Sales Growth This is a continuation of Exercise 10. In this exercise, we determine how the sales level that gives the maximum growth rate is related to the limit on sales. Assume, as above, that the constant of proportionality is 0.3, but now suppose that sales grow to a level of 4 thousand dollars in the limit. a. Write an equation that shows the proportionality relation for G. b. On the basis of the equation from part a, make a graph of G as a function of s. c. At what sales level is the growth rate as large as possible? d. Replace the limit of 4 thousand dollars with another number, and find at what sales level the growth rate is as large as possible. What is the relationship between the limit and the sales level that gives the largest growth rate? Does this relationship change if the proportionality constant is changed? e. Use your answers in part d to explain how to determine the limit if we are given sales data showing the sales up to a point where the growth rate begins to decrease.arrow_forwardDecay of Litter Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R=L/k. For this exercise and the next, we suppose that at time t=0, the forest floor is clear of litter. a. If D is the difference between the limiting value and A, so that D=RA, then D is an exponential function of time. Find the initial value of D in terms of R. b. The yearly decay factor for D is ek. Find a formula for D in term of R and k. Reminder:(ab)c=abc. c. Explain why A=RRekt.arrow_forwardFilling a PondA large koi pond is filled from a garden hoseat the rate of 10 gal/min.Initially,the pond contains 300 galof water. (a) Find a linear function V that models the volume of waterin the pond at any time t . (b) If the pond has a capacity of 1300 gal, how long does it take to completely fill the pond?arrow_forward
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Publisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Implicit Differentiation with Transcendental Functions; Author: Mathispower4u;https://www.youtube.com/watch?v=16WoO59R88w;License: Standard YouTube License, CC-BY
How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY