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Solve the problem.A spring on a horizontal surface can be stretched and held 0.5 m from its equilibrium position with a force of 60 N. How much work is done in compressing the spring 3 m from its equilibrium position?

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.About the x-axis y = 5 x = 5

Find the mass of the thin bar with the given density functionρ(x) = 5 + x2;  for 0 ≤ x ≤ 1

Set up an integral for the length of the curve.x = y1/7, 0 ≤ y ≤ 2

Find the mass of the thin bar with the given density functionρ(x) = 4 + x2;  for 0 ≤ x ≤ 1

Compute dy/dx for the function.y = sinh 8x

Compute dy/dx for the function.y = sinh 10x

Find the mass of the thin bar with the given density functionρ(x) = 2 + x2;  for 0 ≤ x ≤ 1

Solve the problem.Find a curve through the point  whose length integral, 1 ≤ x ≤ 2, is 

Find the length of the curve.x = (y – 1) 3/2 from y = 4 to y = 9