Shade the area of the region bounded by the parabola, x 2+p2-2(p+7)x-5y+59 + 14p 0 and the straight linesx=p+2, x = p+ 12 & y = -4. Hence, find the area of the region using integration. (p-6)

Q: Need help with this calculus question, please do all. Thanks.

A: We are given a 3rd degree polynomial, of which we need to integrate from -2 to 2. Also, we are…

Q: 6. Find the area of the surface generated when y = v4x + 6 is revolved about the x- axis on the…

A: 80π

Q: Consider the area bounded by the curves y = 4x³ - x² - 14x and y = x²+2x. Where do the curves…

A: Step 1:Step 2:I hope it is clear if there is any doubt, please ask in clarification section.

Q: Find the center, transverse axis, vertices, foci, and the asymptote of the y^2-x^2-4x+4y-1=0

A: Steps and explanations are as follows: In case of any doubt, please let me know. Thank you.

Q: Calculate (4x² + Se) dy, where C is the triangle of vertices (0,0), (2,0) and (2,2). [(4x²+ Note:…

A:

Q: Thank you for your help. I don't understand the red and blue lines on the graph. Find the area…

A:

Q: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…

Q: Find the point(s) on the line y = 7x + 3 closest to the point (−1, 8).

A: