(c) Find the volume of the solid generated by rotating the region bounded by y = e2x, x-axis, y-axis and x = ln 3 about (iii) (iv) the x-axis for 1 complete revolution. the y-axis for 1 complete revolution. y = -1 for 1 complete revolution. x = -1 for 1 complete revolution.

Q: 10. Show that y = 2x³ – 5x satisfies y' + y" - xy" + 5 = 6x² [T:3]

A: We have to show that given condition in question.

Q: Find the area between the curve y=(x-2)(x+3)(4-x) and the x-axis from x = -1 to x = 3.

A:

Q: Find the volume of the resulting solid if the region under the curve y = 9/(x2 + 5x + 6) from x = 0…

A: Given that  y=9/(x^2+5x+6) To determine the volume about x axis and y axis

Q: x' = 5x2 – 7y y' = x - y (х, у) 3D

A: to find x and y, integrate the differential equation