The area of the surface generated by revolving the curve y = V9 - x,-2 s xS 2 about the x-axis is 24r.

Q: Find the tangent to the parabola (x + 2y)² + 2x - y - 3 = 0, parallel to the line x - y = 1.

A: Consider the equation of the line x-y=1 ⇒y=x -1 Comparing with y=mx+c we get slope of line, m=1

Q: Find the distance from the point (1, −3, 6) to the x-axis.

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Q: Find the length (in units) of the curve y =    16 − x2between x = 0 and x = 2.

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Q: A baseball is launched into the outfield on a parabolictrajectory given by y = 0.01x(200 - x). Find…

A: Given ------(1)   The average value of a functionon an interval is given by ------ (2) From the…

Q: The curve y = sqrt(x2 + 1), 0<=x<=sqrt(2), which is part of the upper branch of the hyperbola…

A: Find dy/dx from the given curve using power rule and chain rule.

Q: A bead slides down the curve xy = 10. Find the bead’s horizontal velocity at time t = 2 s if its…

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Q: Evaluate the length of the curve: y = 3x + sinx, 0 ≤ x ≤ 1.

A: Let L be the length of curve  F(x) = 3x + sinx

Q: The diagram shows a rectangle OABC with part of the line y =x+1 and the curve y =| that intersect at…

A: The point B and P are the intersection of the curve y=x-12 and the line y=x+1. Solve the…

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

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Q: Q3. Find the point(s) on the surface xyz 1 closest to the origin. %3D

A: Given: To find the points on the surface xyz=1 is given as,

Q: Sketch the section of the surface at y = 0. 4 2 -2 -6 -4 -6 -4 4 6. -61

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