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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

Find the mass of the thin bar with the given density functionρ(x) = 3 + x2;  for 0 ≤ x ≤ 1

Find the area of the surface generated when the given curve is revolved about the x-axis.  y = 2x + 5 on [0, 5]

Find the derivative of y.y = sinh2 7x

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the . y = x2 + 3, y = 2x + 3