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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Please be mindful about each part and include a sketch for each part!
1. Find the intersections between the curve y=√√3-x and line y+1-x=0
(a) Sketch the region R bounded by the curves, the line, x-axis and
y-axis in the first quadrant.
(b) Find the area bounded by the region R
(c) Calculate the volume formed when region R is rotated about x-axis
through 27 radians
. Sketch the graphs of v = 2x - x² and y = - x. Shade the region
bounded by the curves, Find the volume of the solid that is
formed by revolving the region shaded about the y-axis.
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- For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b volumes.arrow_forwardC and E onlyarrow_forwardProblem #1 Use the washer method to calculate the volume when you rotate the following area around the x-axis. The area is defined by the curves: y =x? and y=0.25x² +3 and x=0 The point of intersection is (2 ,4). On the figure draw the boundaries of the area to be rotat- ed. Draw a rectangle that represents the washer method around the x-axis. You can use your calculator to evaluate the final answer. 25arrow_forward
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