Path To College Mathematics
1st Edition
ISBN: 9780134654409
Author: Martin-Gay, K. Elayn, 1955-
Publisher: Pearson,
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Chapter D, Problem 41ES
To determine
The estimated height of Statue of Liberty.
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65% of all violent felons in the prison system are repeat offenders. If 43 violent felons are randomly selected, find the probability that
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b. At most 28 of them are repeat offenders. c. At least 28 of them are repeat offenders. d. Between 22 and 26 (including 22 and 26) of them are repeat offenders.
Chapter D Solutions
Path To College Mathematics
Ch. D - Prob. 1ESCh. D - Prob. 2ESCh. D - Prob. 3ESCh. D - Prob. 4ESCh. D - Prob. 5ESCh. D - Prob. 6ESCh. D - Prob. 7ESCh. D - Prob. 8ESCh. D - Prob. 9ESCh. D - Prob. 10ES
Ch. D - Prob. 11ESCh. D - Prob. 12ESCh. D - Prob. 13ESCh. D - Prob. 14ESCh. D - Prob. 15ESCh. D - Prob. 16ESCh. D - Prob. 17ESCh. D - Prob. 18ESCh. D - Prob. 19ESCh. D - Prob. 20ESCh. D - Prob. 21ESCh. D - Prob. 22ESCh. D - Prob. 23ESCh. D - Prob. 24ESCh. D - Prob. 25ESCh. D - Prob. 26ESCh. D - Prob. 27ESCh. D - Prob. 28ESCh. D - Prob. 29ESCh. D - Prob. 30ESCh. D - Prob. 31ESCh. D - Prob. 32ESCh. D - Prob. 33ESCh. D - Prob. 34ESCh. D - Prob. 35ESCh. D - Prob. 36ESCh. D - Prob. 37ESCh. D - Prob. 38ESCh. D - Prob. 39ESCh. D - Prob. 40ESCh. D - Prob. 41ESCh. D - Prob. 42ESCh. D - Prob. 43ESCh. D - Prob. 44ESCh. D - Prob. 45ESCh. D - Prob. 46ESCh. D - Prob. 47ESCh. D - Prob. 48ES
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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
- Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x-4x² at (-1, -9) m Determine an equation of the tangent line. y = Need Help? Read It Master It SUBMIT ANSWERarrow_forwardy = log 5 – x2 - 4 00arrow_forwardFor what value of A and B the function f(x) will be continuous everywhere for the given definition?..arrow_forward
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