If x =0.77 and y = 0.86, then value of C in the antiderivative of F(x) = xcos-1(x) is (use radian form of angle measure. V1- x2 answer in 2 decimal places no space)
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- The surface of a water wave is describedby y = 5(1 + cos x), for -∏ ≤ x ≤∏, where y = 0corresponds to a trough of the wave (see figure). Find the averageheight of the wave above the trough on [-∏, ∏].I. Find the acute angle between the two curves xy= 3 and x²= 9y II. Find the dy/dx, simplify if needed: 1) y= sect+4tant 2) y=sin²4x+(1/2)cos8x 3) cos(x-y)=xy 4) y=√1-x² sin^-1x 5) y= arccs√x6) skelch a gvaph of the function y=sinx-si sin3X qt [e, z
- y= sin(x) x: 0, pi/4, pi/2, 3pi/4, pi, 5pi/4, 3pi/2, 7pi/4, 2pi y: ?, ?, ?, ?, ?, ?, ?, ?, ? Graphy y=sin(x) below:When recording live performances, sound engineers often use a microphone with a cardioid pickup pattern because it suppresses noise from the audience. Suppose the microphone is placed 6m from the front of the stage and the boundary of the optimal pickup region is given by the given cardioid r=12+12sin(theta), where r is measured in meters and the microphone is at the pole. The musicians want to know the area they will have on the stage within the optimal pick up range of the microphone.cos(a - B) + cos(a + B) = 0 2cosacosB 2sinasinB