# Calculus homework due 4-3-14

Find $\frac{dy}{dx}$ for each equation

1. $y=x^{\ln(2x)}$

2. $e^{xy}=\sin{x}$

3. $y=\log_2{x}+\log_4{x}$

4. $y=\ln{x}\sin^{-1}{x}\csc{x}$

# Homework due 4-2-14 (for MRS22-3) or 4-3-14 (for MRS22-1)

Graph the following functions.

1. $y=\sec\left[\frac{1}{2}\left(x+\frac{\pi}{3}\right)\right]$

2. $y=2\sec{x}+3$

3. $y=\frac{\csc(\pi{x})}{2}$

4. $y=\csc\left(x-\frac{\pi}{4}\right)$

5. $y=\cot(2\pi{x})-1$

# Homework due 3-26-14 (MRS22-3) or 3-27-14 (MRS22-1)

1. Graph y=-5cos(4x)

2. Find an equation for the function

3. Evaluate $\csc\frac{3\pi}{2}$

# Calculus homework due 3-27-14

Find the derivative of each of the following functions.

1. $f(x)=\sin\left(\frac{x^3+1}{e^x}\right)$

2. $f(x)=e^{\tan(4x)}$

3. $f(x)=\sec\left(\frac{x^3}{3}-x^2\right)$

4. $f(x)=\sqrt{x^4+x^2}+x^2$

# Trig function values of special angles classwork solutions

1. $\frac{-\sqrt{3}}{2}$

2. $\frac{-\sqrt{2}}{2}$

3. undefined

4. $\frac{-9}{2}$

5. $\frac{2}{3}$

# Homework due 3-19-14 (for MRS22-3) or 3-20-14 (for MRS22-1)

1. Find the following trigonometric function values

a. $\sin\frac{11\pi}{6}$

b. $\cos\frac{4\pi}{3}$

c. $\sin\frac{11\pi}{3}$

2.

How fast is the wheel turning? How fast is Will running?