Finding area between curves

Question

Question

Finding area between curves

The question asked me to set up an integral to evaluate the area between curves, as shown in the attached image.

Screen Shot 2021-10-03 at 2.49.51 AM.png

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?

Screen Shot 2021-10-03 at 2.43.53 AM.png

math

Add a comment Improve this question Transcribed image text

Answer 1

Similar Homework Help Questions

Finding area between curves

How do I find the area between the curves, using integral? (Image attached)
Consider the region R between the curves y = and y +7. (a) Sketch this region,...

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...

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.

Find the area of the following region Sketch the bounding curves and the mopon in question...

Find the area of the following region Sketch the bounding curves and the mopon in question The region in the fint quadrant bounded by y2 and y-2sin on the interval Choose the correct graph below OA OB OC OD Set up to Wegral hat will give the sea of the region. Choose the corect answer below OA 12 siny-2) dy OB sin-21 oc. Jaz 22 - 2 single OD 2 Click to set your ar Find the area of the...
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about t...

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y= e- y0, x= -5, x-5 (a) About the x-axis (b) About y-1 Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate...
6. (3 pts.) Let R be the region colored in black in the figure below. The two curves bounding R a...

Any help would be appreciated! 6. (3 pts.) Let R be the region colored in black in the figure below. The two curves bounding R are the circle 12 + y2-= 1 and the curve described in polar coordinates by the equation r-2 sin(20). Set up but do NOT evaluate a (sum of) double integral(s) in polar coordinates to find the area of R. We were unable to transcribe this image 6. (3 pts.) Let R be the region colored...

Sketch the region and use a double integral to find the area of the region inside...

Sketch the region and use a double integral to find the area of the region inside both the cardioid r=1+sin(theta) and r=1+cos(theta). I have worked through the problem twice and keep getting (3pi/4 - sqrt(2)). Can someone please explain how you arrive at, what they say, is the correct answer? Sketch the region and use a double integral to find its area The region inside both the cardioid r= 1 + sin 0 and the cardioid r= 1 + cosa...
I am stuck on this step of finding the area bounded by the following curves. y...

I am stuck on this step of finding the area bounded by the following curves. y = 16-x^2, y = 8x - x^2, x = 1, x = 3 I can figure everything out until I get to the point of combining A=Aleft = Aright (shown below)
can you explain this quetions for me plz 1. How is area trapped between two curves...

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,...

12.5.10 Answer the following questions about F(x)-7x+110. (A) Calculate the change in F(x) from x- 10 to x-17. (B Graph F and use geometric formulas to calculate the area between t...

12.5.10 Answer the following questions about F(x)-7x+110. (A) Calculate the change in F(x) from x- 10 to x-17. (B Graph F and use geometric formulas to calculate the area between the graph of F and the x-axis from x (C) Verity that your answers from (A) and (B) are equal, as guaranteed by the fundamental theorem of calculus. 10 to x=17. (A) Calculate the change in F(x) from x 10 to x - 17. The change is© Simplify your answer.)...

Finding area between curves

Homework Answers

Request Answer!