In order to maintain volume flow as a constant, if the area of a vessel decreases what must happen to the velocity?

The diagram below shows the major white matter tracts in the spinal cord labelled A-J.  Use the diagram to choose the BEST match.  An answer may be used more than once or not at all.

Find the derivative of \( f(x) = e^{\sin(x)} \)

Compute \

Find the general antiderivative of \( f(x) = 11x^3 – 7x^2 + 5x – \sec^2(x) \)

Find the limit \

Let \( f(t) = -\frac{1}{3}t^2 + 1 \) (mm/hour) be the rate at which rain falls on a given day in Provo at time \( t \) (hours). The initial amount of rainfall at time \( t = 0 \) is 0.5 millimeters. What is the total amount of rainfall in Provo after \( t = 3 \) hours of rain? Be sure to include units in your answer.

What is the \( x \)-coordinate(s) of the local maximum of the function \

Let \( xy^3 – 5y^2 + 3 = 4x – 20 \). Find \( \frac{dy}{dx} \) when \( x = 6 \) and \( y = 1 \).

Find the derivative of \( f(x) = (\ln 4x)^3 \).