Use the mid-point rule with n = 2 to approximate the area of the
region bounded...
Use the mid-point rule with n = 2 to approximate the area of the
region bounded by y equals the cube root of the quantity 16 minus x
cubed y = x, and x = 0.
Solutions
Expert Solution
Hello Dear, I am not able to find the function written in words!
Please check below if I have found correct functions
y=(16-x^3)^(1/3), y=x, and x=0
if I am wrong, please tell me the function in coments, I will
upload solution for that!
Use Simpson's Rule with n = 10 to approximate the area of the
surface obtained by rotating the curve about the x-axis. Compare
your answer with the value of the integral produced by your
calculator. (Round your answer to six decimal places.)
y = e^−x^2, 0 ≤ x ≤ 5
Use Simpson's Rule with n = 10 to approximate the area
of the surface obtained by rotating the curve about the
x-axis. Compare your answer with the value of the integral
produced by your calculator. (Round your answer to six decimal
places.)
y = x + sqrt x, 2 ≤ x ≤ 5
Use Simpson's Rule with n = 10 to approximate the area
of the surface obtained by rotating the curve about the
x-axis. Compare your answer with the value of the integral
produced by your calculator. (Round your answer to six decimal
places.)
y = x + sqrt x, 2 ≤ x ≤ 5
a) Find the area of the region bounded by the line y = x and the
curve y = 2 - x^2. Include a sketch.
Find the volume of the solid created when rotating the region in
part a) about the line x = 1, in two ways.
Use Simpson’s Rule with n = 4 to approximate the value of the
definite integral ∫4 0 e^(−x^2) dx. (upper is 4, lower is 0)
Compute the following integrals (you may need to use Integration
by Substitution):
(a) ∫ 1 −1 (2xe^x^2) dx (upper is 1, lower is -1)
(b) ∫ (((x^2) − 1)((x^3) − 3x)^4)dx
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of n.
(Round your answers to six decimal places.)
2
1
6 ln(x)
1 + x
dx, n = 10