The diagram shows the graph of y = x 2 /25, x 0, which passes through

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The diagram shows the graph of y = x²/25, x ≥ 0, which passes through the points P and Q. The x-coordinate of P is 5 and the x-coordinate of Q is 10.

a) Find the y-coordinates of P and Q.

b) Find the equation of the tangent to the curve at Q.

c)
Find the volume obtained when the region enclosed by the curve, the y-axis
and the lines through P and Q parallel to the x-axis is rotated through 360° about
the y-axis.

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Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

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Question Posted: Apr 14, 2023 11:28 AM

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The diagram shows the graph of y = x 2 /25, x 0, which passes through

Question:

X

Step by Step Answer:

a Using the equation of the curve we can find the ycoordinates of P and Q as follows When x 5 y 525 1 When x 10 y 1025 4 So the ycoordinate of P is 1 ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

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