ors Section 12.1 Permai 7 Evaluate sos (8yº +6y) sinx) cos(x) og ox O p4 sto Evaluate 1. ฐ oxdy Vyox
7 Consider the region bounded by y = sinx, y = cos x, x = 0, and x = Find the volume of the solid generated when the above region is revolved about 3-axis. Detailed drawing required. a b Find the volume of the solid generated when the above region is revolved about y -axis. Detailed drawing required. Hint: S = sin xdx = sin r - 100+, S roos edat = cos I+rsins + c.
Evaluate the following integral. cos 4x dx 11 - sinx S 5л cos 4x dx = S 1 - sin x 51 6 (Type an exact answer.)
"ind all solutions to the equation on the interval (0,2) - 2 cos sinx+1=0
Find Vf at the given point. f(x,y,z)=e*** cos z + (y + 2) sinx (Type an exact answer, using radicals as needed.)
8. Find a solution to the differential equation dy 6x + sinx - 2 cos x that satisfies y (0) = 1 dx
QUESTION 1 Match the glven function to its graph. 1) y = sinx 2) y = COS X 3) y = -sinx 4) y = -COS X А B 2+ TAA - 70 27 -1 + 2+ -3 31 С D 31 2+ AAA AA 27 2 -2- -3 31 1A, 2D, 3C, 4B 1C, 2A, 3B, 4D 1A, 2B, 3C, 4D 1B, 2D, 3C, 4A
Scosch cos(in (cos(sinx))) du
Evaluate the integral Z π 0 Z π x cos(y) y dy dx. Hint: Since cos(y) y doesn’t have an elementary antiderivative in y, the integral can only be evaluated by reversing the order of integration using Fubini’s theorem.
Solving Trig Equations class Activity 0 2 cos²x-√3 cosx=0 [0, 360) 6 Sinx + Cosx=1 [0, 21) (3 Sin (arctan 23-arccos 12) @ sin laoreet (5)