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surface area problems calculus. D y d x 6 x d s 1 6 x 2 d x 1 36 x 2 d x d y d x 6 x d s 1 6 x 2 d x 1 36 x 2 d x Show Step 3. Find the area of the surface formed by revolving the curve y p x on the interval 0 x 2 about the x-axis 2.
Calculus Probability Basic Mathematics Logic Classical Mechanics Electricity and Magnetism Computer Science Quantitative Finance. Let y represent the height of the box. Determine the surface area of the portion of y 2x2 2z27 y 2 x 2 2 z 2 7 that is inside the cylinder x2 z2 4 x 2 z 2 4.
Lateral Surface Area p rs p rr 2 h 2 Base Surface Area p r 2.
Set up but do not evaluate an integral for the surface area of the object obtained by rotating y sin2x y sin. Ds 1 dx dy2 dy d s 1 d x d y 2 d y. This video will show you how to find the surface area of a curve that has been rotated about the x-axis. Level 3 Challenges.