Represent the plane curve by a vector-valued function y=(x-2)^{2}

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. $(x,y)=$

Vector ${\displaystyle \overrightarrow{A}}$ is 3.00 units in length and points along the positive x-axis. Vector ${\displaystyle \overrightarrow{B}}$ is 4.00 units in tength and points along the negative y-axis. Use graphical methods to find the magnitude and direction of the vectors ${\displaystyle \overrightarrow{A}+\overrightarrow{B}}$

Determine the line integral along the curve C from A to B. Find the parametric form of the curve C
Use the vector field:
$\overrightarrow{F}=[-bxcy]$
Use the following values: $a=5,b=2,c=3$

Find parametric equations for the line of intersection of the planes $3x-2y+z=1$, $2x+y-3z=3$

Convert the point $(-1,1)$ from Cartesian coordinates to polar coordinates

Find the point(s) of intersection of the following two parametric curves, by first eliminating the parameter, then solving the system of equations.
${\displaystyle x=t+5,y=t^2\text{and}x=\frac{1}{16}t,y=t}$
a. (25, 400)
b. (1, 16)
c. (400, 16)
d. A and B
e. A and C

How do you change ${\displaystyle (2\sqrt{3},2,-1)}$ from rectangular to cylindrical coordinates?