Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Evaluate each indefinite integral and show work
Evaluate each integral in Exercises 47-50 by reducing the improper fraction and using a substitution (if necessary)
to reduce it to standard
form.
47.
48.
-dx
49. de
2x3
dx
50.472-737 de
2x +
+1
Use geometry (i.e., areas of triangles, rectangles, and circles)
to find the exact values of each of the definite integrals in
Exercises 21-28.
(2 – x) dx
| 0(4x – 3) dx
21.
22.
23.
24 dx
24.
|3х + 1| dx
| V1-x² dx
Vr2 – x² dx
25.
26.
-1
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- 18. x + y?-9x+2y x-6y+59 + Standard Form: Radius: Area: © Gina Wilson (All Things Algebra". LLC), 2015-2019 Sign ouarrow_forwardgreen. A golfer makes a successful chip shot to the Suppose the path of the ball from the moment it is struck to the moment it hits the green is described by y = 13.51 x -0.62x² where * { [0,b]. where x is the horizontal distance (in yards) from the point where the ball was struck, and y is the vertical distance (in yards) above the fairway. a.) set up the integral (to just before integrating) to find the distance the ball travels (the arc length) from the moment it is Struck to the moment it hits the green. b.) If the ball travels 42 yards Chorizontally) down the fairway, find the arc length the ball travels. Round the nearest hundred.arrow_forward4) e4y dy 00arrow_forward
- Evaluate the integrals in Exercises 41–44 by changing the order ofintegration in an appropriate way.arrow_forwardot) Evaluate the integral 9 1². (|x|— 4) dx using the net area of a region. Give the areas A+ and A_ of the two regions of interest. We get (a) A+ (b) A_ = (c) 9 = -7 ^ (|x|— 4) dx =arrow_forwardWrite a line integral(s) that would give you the area the graph of f(x,y)=x^2-3y^2-4x+6y+30 and the triangle vertices (0,0) (4,0) and (0,4)arrow_forward
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