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Find the area of the surface generated when the given curve is revolved about the y-axis.y = , for 8 ≤ x ≤ 10

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 55 N. How much work is done in stretching the spring 3 m from its equilibrium position?

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 45 N. How much work is done in compressing the spring 1.5 m from its equilibrium position?

Find a formula for the nth term of the sequence.-3, -2, -1, 0, 1  (integers beginning with -3)

Compute dy/dx for the function.y = sinh2 8x

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 stretching the spring 3 m from its equilibrium position?

Find a formula for the nth term of the sequence.1, – , , – ,   (reciprocals of squares with alternating signs)

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