. The region R is bounded by y Inx, y= 0, and x 3. a) If R is rotated about the line y=-1, set-up (do not evaluate) an integral to find the volume of the resulting solid. 5) Use a calculator to evaluate the integral in part (a). Round off your answer to 4 decimal places.

Q: 1. Find the area in the first quadrant enclosed by using a vertical element. x² +4 x=2 and x = 4,

A:

Q: Find the volume of the region bounded by √x and y=x rotated about x = -4.

A:

Q: 3. Using the disk/washer method, write the volume of the solid obtained by rotating the region…

A: As your question content multiple subpart, I only serve the first 3 sub part. Please repost your…

Q: Find the total area of the region between the curve and the x-axis. 24) y = x2(x- 2)2; 0sxs2 15 A) -…

A: The graph of the bounded region is as shown above. As shown draw a stipe parallel to y-axis. So, y…

Q: Find the volume of the solid whose base is the circle x² + y² = 49 and the cross sections…

A:

Q: Find the volume of the solid whose base is in the first and second quadrant(s) bounded by y = 32 –…

A:

Q: 2. Sketch the graphs of y = x² - 6x + 12, x = 5, x-axis and y-axis. Shade the region bounded by the…

A: The given equation of the curve is: and

Q: Find the volume V of the solid obtained by rotating the region enclosed by the curves x = 5y2 and x…

A: first we need to identify the region which is enclosed. Then setting up the integral with right…

Q: The area enclosed by the ellipse (x²/9) + (y²/4) = 1 is revolved about the line x = 3. What is the…

A: We first sketch the region using a graphing calculator

Q: Ex3: Find the volume bounded by the surface z = 3 – x - y and the area in x-y plane enclosed by the…

A:

Q: The area bounded by the parabola y² + x - 2y = 1, the x — axis, and the line x = 2 revolves about…

A:

Q: Find the area bounded by the parabola x=8+2y-y², the y-axis, y=-1, and y=3 A 92/6 s.u. B 92/4 s.u.…

A: