Write and evaluate the definite integral that represents the area of the surface generated by revolving the curve on the indicated interval about the x-axis. y = 49 - x, -5 sxS 5 dx = -5

Q: At which value/s of x does the graph of y=x' - 6x +9x- 2 have a horizontal tangent line? Write the…

A: In this question, we need to find the values of x in which the given graph has a horizontal tangent…

Q: Evaluate the integral. Please refer to image.

A: Obtain curl F as follows.

Q: Write the surface area as a function of (a) the radius r and (b) the height h.

A: Write the surface area as a function of (a) the radius r and (b) the height h.…

Q: 1. L, 4x³ dx -2

A: Value of definite integral is 65.

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: Suppose that | d(z)dz = 9, and d(z)dz = 9.3. 2 Find the value of the definite integral d(z)dz |…

A: The objective is to find the value of the given definite integral

Q: Find the area of the segment cut from the curve y=x (x-3) and the ordinates x=0 and x=5

A:

Q: a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t,…

A: Given, a projectile launched at t = 0 second that follows a path x=30t, y=-5t^2+80t where x…

Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: gen separated by a comma without space. Blank 1

A:

Q: a. У -1 0| y = x² + 2 2 X b. У у= y = 4x-x2 10 x с. -10 y =ex 3

A:

Q: Find the surface area of a sphere of radius 5 by rotating the graph OI the function x2 between x =…

A:

Q: Use the values rx) dx = 7 and dg(x) dx = 3 to evaluate the definite integral. (a) (x) + g(x)] dx (b)…

A:

Q: Find the tangent to y=x- 3Dx-x+13 at x=D4.

A: