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1. f(1) = (9t + 7)2/3 %3D a. Find the derivative function of the function written above. b. Find the equation of the tangent line at point t =. %3D

1. f(1) = (9t + 7)2/3 %3D a. Find the derivative function of the function written above. b. Find the equation of the tangent line at point t =. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. f(1) = (9t + 7)?/3 a. Find the derivative function of the function written above. b. Find the equation of the tangent line at point t = 2. (9, 6) 4. Let R be the region in the first quadrant bounded by the graph of y = 2, the horizontal line y = 6, and the y-axis, as shown in the figure above. (a) Find the area of R. (b) Write, but do not evaluate, an integral expression that gives the volume of the solid generated when R is rotated about the horizontal line y 7. 3. The graphs of the polar curves r 2 and r 3+2cos e are shown in 4 the figure above. The curves intersect when 6 = and Find the area of the shaded region.
Transcribed Image Text:1. f(1) = (9t + 7)?/3 a. Find the derivative function of the function written above. b. Find the equation of the tangent line at point t = 2. (9, 6) 4. Let R be the region in the first quadrant bounded by the graph of y = 2, the horizontal line y = 6, and the y-axis, as shown in the figure above. (a) Find the area of R. (b) Write, but do not evaluate, an integral expression that gives the volume of the solid generated when R is rotated about the horizontal line y 7. 3. The graphs of the polar curves r 2 and r 3+2cos e are shown in 4 the figure above. The curves intersect when 6 = and Find the area of the shaded region.
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