Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Chapter J, Problem 89ES
To determine
To calculate: The simplified form of the expression
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Chapter J Solutions
Developmental Mathematics (9th Edition)
Ch. J - Find the square roots.
1.
Ch. J - Prob. 2DECh. J - Prob. 3DECh. J - Prob. 4DECh. J - Prob. 5DECh. J - Prob. 6DECh. J - Prob. 7DECh. J - Prob. 8DECh. J - Prob. 9DECh. J - Prob. 10DE
Ch. J - Prob. 11DECh. J - Prob. 12DECh. J - Prob. 13DECh. J - Prob. 14DECh. J - Prob. 15DECh. J - Prob. 16DECh. J - Prob. 17DECh. J - Prob. 18DECh. J - Prob. 19DECh. J - Prob. 20DECh. J - Prob. 21DECh. J - Prob. 22DECh. J - Prob. 23DECh. J - Prob. 24DECh. J - Prob. 25DECh. J - Prob. 26DECh. J - Prob. 27DECh. J - Prob. 28DECh. J - Prob. 29DECh. J - Prob. 30DECh. J - Prob. 31DECh. J - Prob. 32DECh. J - Prob. 33DECh. J - Prob. 34DECh. J - Prob. 35DECh. J - Prob. 36DECh. J - Prob. 37DECh. J - Prob. 38DECh. J - Prob. 39DECh. J - Prob. 40DECh. J - Prob. 41DECh. J - Prob. 42DECh. J - Prob. 43DECh. J - Prob. 44DECh. J - Prob. 45DECh. J - Prob. 46DECh. J - Prob. 47DECh. J - Prob. 48DECh. J - Prob. 49DECh. J - Prob. 50DECh. J - Prob. 51DECh. J - Prob. 52DECh. J - Prob. 53DECh. J - Prob. 54DECh. J - Prob. 55DECh. J - Prob. 56DECh. J - Prob. 57DECh. J - Prob. 58DECh. J - Prob. 59DECh. J - Prob. 60DECh. J - Prob. 61DECh. J - Prob. 62DECh. J - Prob. 63DECh. J - Prob. 64DECh. J - Prob. 65DECh. J - Prob. 66DECh. J - Prob. 1ESCh. J - Prob. 2ESCh. J - Prob. 3ESCh. J - Prob. 4ESCh. J - Prob. 5ESCh. J - Prob. 6ESCh. J - Prob. 7ESCh. J - Prob. 8ESCh. J - Prob. 9ESCh. J - Prob. 10ESCh. J - Prob. 11ESCh. J - Prob. 12ESCh. J - Prob. 13ESCh. J - Prob. 14ESCh. J - Prob. 15ESCh. J - Prob. 16ESCh. J - Prob. 17ESCh. J - Prob. 18ESCh. J - Prob. 19ESCh. J - Prob. 20ESCh. J - Prob. 21ESCh. J - Prob. 22ESCh. J - Prob. 23ESCh. J - Prob. 24ESCh. J - Prob. 25ESCh. J - Prob. 26ESCh. J - Prob. 27ESCh. J - Prob. 28ESCh. J - Prob. 29ESCh. J - Prob. 30ESCh. J - Prob. 31ESCh. J - Prob. 32ESCh. J - Prob. 33ESCh. J - Prob. 34ESCh. J - Prob. 35ESCh. J - Prob. 36ESCh. J - Prob. 37ESCh. J - Prob. 38ESCh. J - Prob. 39ESCh. J - Prob. 40ESCh. J - Prob. 41ESCh. J - Prob. 42ESCh. J - Prob. 43ESCh. J - Prob. 44ESCh. J - Prob. 45ESCh. J - Prob. 46ESCh. J - Prob. 47ESCh. J - Prob. 48ESCh. J - Prob. 49ESCh. J - Prob. 50ESCh. J - Prob. 51ESCh. J - Prob. 52ESCh. J - Prob. 53ESCh. J - Prob. 54ESCh. J - Prob. 55ESCh. J - Prob. 56ESCh. J - e
Rewrite without rational exponents, and...Ch. J - Prob. 58ESCh. J - Prob. 59ESCh. J - Prob. 60ESCh. J - Prob. 61ESCh. J - Prob. 62ESCh. J - Prob. 63ESCh. J - Prob. 64ESCh. J - Prob. 65ESCh. J - Prob. 66ESCh. J - Prob. 67ESCh. J - Prob. 68ESCh. J - Prob. 69ESCh. J - Prob. 70ESCh. J - Prob. 71ESCh. J - Prob. 72ESCh. J - Prob. 73ESCh. J - Prob. 74ESCh. J - Prob. 75ESCh. J - Prob. 76ESCh. J - Prob. 77ESCh. J - Prob. 78ESCh. J - Prob. 79ESCh. J - Prob. 80ESCh. J - Prob. 81ESCh. J - Prob. 82ESCh. J - Prob. 83ESCh. J - Prob. 84ESCh. J - Prob. 85ESCh. J - Prob. 86ESCh. J - Prob. 87ESCh. J - Prob. 88ESCh. J - Prob. 89ESCh. J - Prob. 90ESCh. J - Prob. 91ESCh. J - Prob. 92ESCh. J - Prob. 93ESCh. J - Prob. 94ES
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- (b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the following limit. lim h→0 - f(x + h) − f(x) h The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule defining f. f(x + h) = (x + h)² - 5(x+ h) = 2xh+h2_ x² + 2xh + h² 5✔ - 5 )x - 5h Step 4 - The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x). - f(x + h) f(x) = = (x² x² + 2xh + h² - ])- = 2x + h² - 5h ])x-5h) - (x² - 5x) = ]) (2x + h - 5) Macbook Proarrow_forwardEvaluate the integral using integration by parts. Sx² cos (9x) dxarrow_forwardLet f be defined as follows. y = f(x) = x² - 5x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 4 to x = 5 from x = 4 to x = 4.5 from x = 4 to x = 4.1 (b) Find the (instantaneous) rate of change of y at x = 4. Need Help? Read It Master Itarrow_forward
- Determine whether the inverse of f(x)=x^4+2 is a function. Then, find the inverse.arrow_forwardVelocity of a Ball Thrown into the Air The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a. A ball is thrown straight up with an initial velocity of 128 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 128t - 16t². (a) What is the average velocity of the ball over the following time intervals? [3,4] [3, 3.5] [3, 3.1] ft/sec ft/sec ft/sec (b) What is the instantaneous velocity at time t = 3? ft/sec (c) What is the instantaneous velocity at time t = 7? ft/sec Is the ball rising or falling at this time? O rising falling (d) When will the ball hit the ground? t = sec Need Help? Read It Watch Itarrow_forwardpractice problem please help!arrow_forward
- practice problem please help!arrow_forwardFind the slope of the tangent line to the graph of the function at the given point. m = 8 f(x) = 7x at (1,3) Determine an equation of the tangent line. y = Need Help? Read It Watch Itarrow_forwardFind the slope of the tangent line to the graph of the function at the given point. f(x) = -4x + 5 at (-1, 9) m Determine an equation of the tangent line. y = Need Help? Read It Watch It SUBMIT ANSWERarrow_forward
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