Consider the following curve on the given interval. a. Write the integral that gives the area...
Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x)-2-x-1,1 (a) The approximated area when using two rectangles is square units (Type an integer or decimal rounded to two decimal places as needed.) (b) The approximated area when...
Find the area of the surface generated when the given curve is revolved about the given axis. y 8x, for 33sxs 65; about the x-axis The surface area is square units. (Type an exact answer, using a as needed.) Find the area of the surface generated when the given curve is revolved about the given axis. y 8x, for 33sxs 65; about the x-axis The surface area is square units. (Type an exact answer, using a as needed.)
5. Find the area of the surface obtained by rotating the curve y=Vx on the interval [0,1] around the y-axis. 6. Evaluate the integral dx (x+1)
Find the area of the surface generated when the given curve is revolved about the given axis. y = 107x, for 565x375; about the x-axis The surface area is square units. (Type an exact answer, using a as needed.)
Find the area of the surface generated when the given curve is revolved about the x-axis. 1 y = x² + for SXS1 9 12x The area of the surface is square units. (Type an exact answer, using it as needed.)
a. Write and simplify the integral that gives the arc length of the following curve on the given integral. b. If necessary, use technology to evaluate or approximate the integral. z 8 y 2 sin x on 9' 9 a. Set up the integral that gives the arc length of the curve. Select the correct choice below and fill in the answer box to complete your choice. a. Write and simplify the integral that gives the arc length of the...
Find the area of the surface generated when the given curve is revolved about the x-axis. x3 1 1 y = + 12 for 2 sxs1 х The area of the surface is square units. (Type an exact answer, using it as needed.)
a. Set up an integral for the area of the surface generated by revolving the curve x = 3 sin y, 0 sys about the y-axis. b. Graph the curve. c. Use technology to find the surface area numerically. a. Set up an integral for the area of the surface generated by revolving the curve x = 3 sin y, 0 sys about the y-axis. b. Graph the curve. c. Use technology to find the surface area numerically.
Question 5. Write an integral for the area of the surface generated by revolving the curve y = cost, for Sos, about the n-axis. 2 Question 6.
3.0-14 points SCalcET8 82.005 Consider the following. (a) Set up an integral for the area of the surface obtained by rotating the curve about the raxis and the y-axis. (i) them is S= (i) the y-axits ) dy (b) Use the numerical integration capability of s calculator to evaluate the surface areas corract to four decimal places () the aeaxis () the y-axis Need Help? Tak to a Tuter 3.0-14 points SCalcET8 82.005 Consider the following. (a) Set up an...