about the x-axis the region under the curve y = x¹/6 from 0 to 3. You first slice through the rotated solid at a generic point x and get a circular cross-section. What is the area of the circular cross-section? A(x) = This makes the volume of the approximating disk with thickness Ax equal to which expression? Volume of disk = Now let Ax approach 0, and sum the volumes of the infinitely many disks that approximate the solid of revolution. What total volume do you get? 3 = [² A(² V = A(x) dx Ax =

Q: A region R is bounded by the line y = x +2 and a parabola with vertex at (0, 0). Find the equation…

A: To find the equation of parabola such that the numerical value of the area of the region R is the…

Q: 1. Find the intersections between the curve y=√√3-x and line y+1-x=0 (a) Sketch the region R bounded…

A:

Q: Find the volume of the solid of revolution generated by revolving the region in the first quadrant…

A:

Q: R is the region bounded by the functions f(x) +2 and the g(x) 1 r and the lines x-0 and x-4.…

A: Given fx=x+2 and gx=1-xand the lines x=0, x=4

Q: Find the area of the region bounded by the graphs of the equations. y = x - x', x = 0, x = 1, y = 0…

A: We need to find the area bounded by the curves is : Area=∬Rdydx

Q: Let the region R be the area enclosed by the function f(x) = 2x³ , the horizontal line y = –3 and…

A: Given the region R be the area bounded by fx=2x13,y=-3,x=0,x=3. Visualize the solid: Each…

Q: Find the area of the region bounded by the graphs of the equations. y = 7x2 + 1, x = 0, x = 2, y = 0

A:

Q: Find the area of ​​region R bounded by y = 2x, y = 5x and y = 5 in the first quadrant  NOTE: The R…

A: