Explain how Fick's first law arises from considerations of the flux of molecules due to a concentration gradient in a perfect gas.

In isosceles $\triangle \mathrm { ABC } , c = 15 \mathrm { cm } , a = 11 \mathrm { cm }$ and $\angle B = 68.5 ^ { \circ }$ Can this triangle be solved using the sine law? If so, solve it and explain your reasoning. If not, explain why not.

find the sum of the infinite geometric series. 1/9 - 1/3 + 1 - 3 + . . .

Prove that $\sum_{k=1}^n (-1)^k f_k=(-1)^n f_{n-1}-1$ for all $n\geq 2$.

Factor. 5 sec^3(x) − 5 sec^2(x) − 5 sec(x) + 5

Rewrite each expression without absolute value bars.

$$|| - 5 | - | - 13 | |$$

Evaluate the following and check with your graphics calculator: $\int_{0}^{\frac{\pi}{6}} \sin (3 x) d x$

Identify three kinds of relationships you have in your life.

Use the points $A(8,6), B(3,1)$ and $P=A+B$. Draw a picture of $O, A, B$ and $P$. Show that $OA=BP$ and $OB=AP$.

What is the function of baroreceptors in the walls of the aorta and carotid arteries?

Write your own problem that can be solved using the four-step procedure. Then use the four steps to solve the problem.

State Archimedes' principle and give an example of how you could determine a buoyant force.

If $u = \int_x^{y-x} \frac{\sin(t)}{t} dt$, find $\frac{\partial u}{\partial x}$ , $\frac{\partial u}{\partial y}$ , and $\frac{\partial y}{\partial x}$ at $x = \pi/2$, $y = \pi$.

Evaluate the expression.

$$\frac { 5 } { 8 } + \frac { 7 } { 8 } + \left( - \frac { 3 } { 8 } \right)$$