Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the curve y²+x-2y-1. the x-axis and the line x-2

Q: For quadratic equation passes through the points (-h,y-1), (0,yo) and (h,y+1), prove that: h A=[y_₁…

A: We first find the quadratic equations by Lagrange interpolation.

Q: Find the area bounded by the arc square root x + square root y = 7, the x axis, and the line joining…

A: Given curves are                                                   1x+y=7, y=0, points (16, 9) &…

Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Calculate the area bounded by the curve obtained by the function given by y = x² - 16, and the lines…

A: The area bounded by the function y = fx, and the lines x=a, x=b and y=0 in given by A = |∫abydx |…

Q: enclosed betw parabola y = x2

A:

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: Calculate the area of the region that lies between the line y=-1 and the parabola y = x²-6x-1,

A:

Q: Find volume between given functions about the y = -3 axis.

A:

Q: Find the values of and y Maximised that the volume can be

A: Since y is not clearly mention what is it, so we are taking it as radius of cone. According to the…