When f'(x) is negative, the curve of y= f(x) is concave ______.

Find the derivative of y with respect to x if; x = arcsin e^y.

 Find the change in y = 2x – 3 if x changes from 3.3 to 3.5.

Find the equation of the tangent line to the curve x³ + y³ = 9 at the point (1,2).

Rotate the region bounded by the graphs y = x² − x + 1 and y = 1 about the line y = 1. Find the volume of the resulting solid.

Find the area bounded by y = 2 − x² and y = x.

The integral of any quotient whose numerator is the differential of the denominator is the ______.

Find the area bounded by y = xe ^-x², x = 0, y = 0 and x = 1.

Evaluate: 

Determine the length of x=4(3+y)² , 1≤y≤4.