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Compute the surface area of revolution about the x-axis over the interval [0, 1] for y...
Compute the surface area of revolution about the x-axis over the interval [0,1] for y=e^(−3x.) (Use symbolic notation and fractions where needed.)
Compute the surface area of revolution of ?=4?+3 about the x-axis over the interval [2,3]. ? = ??
Compute the integral of the vector field F(x, y, z) = (2x, 29, 42) over (1) = (cos(i), sin(i),1) for OSISK (Use symbolic notation and fractions where needed.) F. dr =
Find the length s of the path (2 + 141, 3 +212) over the interval 7 <1 38. (Express numbers in exact form. Use symbolic notation and fractions where needed.) s= Find the length s of the path (r + 5,12 + 8) over the interval 5 <1 37. (Use symbolic notation and fractions where needed.) S =
Determine the total surface area and total volume generated by a complete revolution about the Y-axis of the given figure
Let F be the equation y=e^5x, let G be the equation x= 7, and let H be the equation y=1 . Find the area of the region enclosed by the graph of these equations.(Use symbolic notation and fractions where needed.) area= (b), Let F be the equation y= sin(11 x), and let G be the equation y= cos(11 x). Find the area of the region enclosed by the graphs of these equations if 0 less than equal to x less...
Find the solution of a = y (6 - ) satisfying the initial condition y(0) = 90. (Use symbolic notation and fractions where needed.) y = Find the solution of = y(6 - ) satisfying the initial condition y(0) = 18. (Use symbolic notation and fractions where needed.) y = Find the solution of a = y(6 - ) satisfying the initial condition y(0) = -6. (Use symbolic notation and fractions where needed.) y =
Find the surface area of the solid of revolution obtained by rotating the curve x=(1/12)(y^2+8)^(3/2) from ?=2 to ?=5 about the x-axis: (1 point) Find the surface area of the solid of revolution obtained by rotating the curve X= +8)3/2 from y = 2 to y = 5 about the x-axis:
3. Find the area of the surface of revolution obtained by rotating the graph of y = 2x around the x-axis for the interval 0 Sxs To Give exact answer only.
Find the parametric equations using sine and cosine for the surface obtained by rotating the curve x = sin(y) about the y-axis over the interval 0 < y < pi.