Let C be the curve described by the parametric equations

Use the given graph off over the interval (0, 6) to find the following.

a) The open intervals on whichfis increasing. (Enter your answer using interval notation.)
b) The open intervals on whichfis decreasing. (Enter your answer using interval notation.)
c) The open intervals on whichfis concave upward. (Enter your answer using interval notation.)
d) The open intervals on whichfis concave downward. (Enter your answer using interval notation.)
e) The coordinates of the point of inflection. $(x,y)=$

Find sets of parametric equations and symmetric equations of the line that passes through the given point and is parallel to the given vector or line.
$$\begin{array}{|cc|}\hline \text{Point}& \text{Parallel to}v=\\ (0,0,0)& <<8,1,4>>\\ \hline\end{array}$$
(a) parametric equations
(b) symmetric equations
${\displaystyle 8x=y=4z}$
${\displaystyle 4x=y=8z}$
${\displaystyle \frac{x}{8}=y=\frac{z}{4}}$
${\displaystyle \frac{x}{4}=y=\frac{z}{8}}$

Determine whether the graphs of the polar equation are symmetric with respect to the x-axis, the y -axis, or the origin.
${\displaystyle r=1+\cos 0}$

Data points ${\displaystyle (x,y)}$
$$\begin{array}{|cccccccccc|}\hline x& & 2& 4& 6& 8& 10& 12& 14& 16\\ y& 0.08& 0.12& 0.18& 0.25& 0.36& 0.52& 0.73& 1.06\\ \hline\end{array}$$
Draw scatter plots of ${\displaystyle (x,\ln y)}$ and ${\displaystyle (\ln x,\ln y)}$

What is the polar form of (5, -3)?

Find a set of parametric equations of the line with the given characteristics. The line passes through the point ${\displaystyle (-4,5,2)}$ and is parallel to the xy-plane and the yz-plane

Represent the plane curve by a vector-valued function. ${\displaystyle x^2+y^2=25}$