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1 point) Find the area under the curve y = 1/(6x3) from x = 1 to x = t and evaluate it for t = 10,t = 100. Then find the total area under this curve for x > 1. a) t = 10 b) t = 100 c) Total area
Find the area under the curve y = 25/x3 from x = 1 to x = t. Evaluate the area under the curve for t = 10, t = 100, and t = 1000. t = 10 t = 100 t = 1000 Find the total area under this curve for x > 1.
can you explain the workings
(1 point) Find the area under the curve y = 1/(7x) from 1 to 2 = t and evaluate it for t = 10,4 = 100. Then find the total area under this curve for 2 > 1. (a)t = 10 (b) t = 100 (c) Total area
(1 point) Find the length of the curve defined by
y=18(8x2−1ln(x))y=18(8x2−1ln(x))
from x=4x=4 to x=8
(1 point) Find the area of the region enclosed by the
curves:
2y=4x−−√,y=4,2y=4x,y=4, and 2y+1x=52y+1x=5
HINT: Sketch the region!
(1 point) Find the volume of the solid obtained by rotating the
region bounded by the given curves about the specified axis.
y=2+1/x4,y=2,x=4,x=9;y=2+1/x4,y=2,x=4,x=9;
about the x-axis.
(1 point) Find the length of the curve defined by y = $(8x? – 1 In(x)) from x = 4...
(1 point) Find the area of the surface obtained by rotating the curve 4x = y2 + 8 about x-axis from x = 2 to x = 4. Area:
10 Given the area under the curve y = x3 on the interval 1 < x < b is 600. Use the Fundamental Theorem of Calculus to find b.
Find the area under the curve: y = e3x from x = In 3 to x = ln 6. Simplify your answer and round to the nearest hundredth as needed.
Find the area of the region y that lies under the given curve y = f(x) over the indicated interval a <x<b. 2 Under y = 8x e over 0 < x < 2 2 over 0 < x < 2 is Round your answer to six decimal 2 The area under y = 8x e * places.
7. Find the area under the curve y = x² +1 on the interval (1,2). a. 73 b.3 d. 4 e. 7
Peer Leading Exercise 7 Spring 2019: Area Under the Given a function (x), the area under the curve is the area of the region bordered by the x -sxis and the graph of y(x). Area under the curve is somehow related to anti-derivatives. We wish to Example: Let f(x) -10-2x. Find the area under the curve between x 0 and x graph to help you visualize what is going on. Do you recognize the shape? 5. We include a 2...