Blog

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

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