How do I find the area between the curves, using integral? (Image attached)
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The question asked me to set up an integral to evaluate the area between curves, as shown in the attached image.The answer sheet is attached as well. However, I get a different answer from the answer sheet. I keep getting an answer of e+(1/e) for this question. Could you explain the correct method? Or is the answer sheet not correct?
Find the area of the region between curves 1. Find Find the area of the region between curves by rotating about x-axis the region in the x,y- plane bounded below and above, respectively, by the curves: a. y = 2x2, y = 4x + 16 b. x = -y2 + 10, x = (y – 2) I
can you explain this quetions for me plz 1. How is area trapped between two curves different than the signed area under a function? 1. There is an essential difference, but they are otherwise the same and quite similar. 2. In the definition of Area of a Region Between Two Curves, the assumption is that g (z) sf(a) on the interval la,b-but what if this is not the case? What can you do? 3. In the remark following example 4,...
Consider the region R between the curves y = and y +7. (a) Sketch this region, making sure to find and label all points of intersection. (You are not required to simplify expressions for these if they end up being complicated. (b) Set up an integral for the area of this region using vertical rectangles. Do not evaluate the integral, just set it up. (C) (Harder! Do this problem last.) Set up an integral or integrals for the area of...
In the picture below is a shade region between the curves y= -2r + 1 and y = 2 - 2 for-1 Srs 1. Set up, but do NOT evaluate, a definite integral that can be used to find the area of the shaded region.
2. Determine the integral which computes the area of the region between the curves y = x y = x3 in the first quadrant. c1/3 and A / (2219 – 2“) de 1 (2173 – ") de 1 (29–318) de B С D| None of the above.
Sketch the region enclosed by the curves and compute its area as an integral along the x- or y- axis. Sketch the region enclosed by the curves and compute its area as an integral along the e- or y-axis. (a) 1 = \y, r = 1 - \yl. (b) 1 = 2y, 2 + 1 = (y - 1)2 21 c) y = cos.r, y = cos 2.c, I=0,2 = 3
Locate the centroid of the shaded area between the two curves. Locate the centroid of the shaded area between the two curves.
Find the area between the following curves. x=-4, x=1,y=ex, and y=1-ex Area(Type an exact answer in terms of e.) Find the area between the following curves. x=-4, x=1,y=ex, and y=1-ex Area(Type an exact answer in terms of e.)
Find the area of the region bounded between the curves y = x and y = 2 – x2 by: a. Integrating with respect to x Integrating with respect to y