Horizontal Tangent Line Determine the point(s) in the interval $(0,2 \pi)$ at which the graph of $f(x)=2 \cos x+\sin 2 x$ has a horizontal tangent line.

The ends of a log are placed on two scales. One scale reads 100 kg and the other 200 kg. Where is the log's center of mass?

Use a computer algebra system to find the second derivative of the function. \

$$g(\theta)=\tan 3 \theta-\sin (\theta-1)$$

Use the utility to graph the function and its tangent line in the same viewing window. \

$$y=\left(t^2-9\right) \sqrt{t+2}, \quad(2,-10)$$

Find an equation of the tangent line to the graph of the function at the given point \

$$y=\left(t^2-9\right) \sqrt{t+2}, \quad(2,-10)$$

Use a graphing utility to find the derivative of the function at the given point \

$$y=\left(t^2-9\right) \sqrt{t+2}, \quad(2,-10)$$

Use a computer algebra system to find the second derivative of the function.
$g(x)=\dfrac{6 x-5}{x^2+1}$

Find the derivative by the limit process. \

$$f(x)=3$$

Consider the linear function $y=a x+b$. If $x$ changes at a constant rate, does $y$ change at a constant rate? If so, does it change at the same rate as $x$ ? Explain.

(a) If a graph is symmetric with respect to the x-axis and (a, b) is on the graph, then (____, ) is also on the graph. (b) If a graph is symmetric with respect to the y-axis and (a, b) is on the graph, then (, ) is also on the graph. (c) If a graph is symmetric about the origin and (a, b) is on the graph, then (, ____) is also on the graph.

Find the derivative of the function. \

$$f(x)=\left(9-x^2\right)^{2 / 3}$$

Find the derivative of the function. \

$$f(x)=6 x-5 e^x$$

Approximate the zero(s) of the function. Use Newton's Method and continue the process until two successive approximations differ by less than $0.001$. Then find the zero(s) using a graphing utility and compare the results. \

$$f(x)=x+\sin (x+1)$$

What are the leading causes of death in children ages 1 to 4 and ages 5 to 14 years?