Let R be the region in the first quadrant bounded above by the curve y = 2 - x2and bounded below by the line y = x. Suppose the shell method is used to determine the volume of the solid generated by revolving R about the y-axis. What is the radius of a cylindrical shell at a point x in [0, 2]?Evaluate the integral.

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step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

y=sec x is the correct answer

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answer is  

d.

a circle

i got it down for you chief.