You can find the point(s) of intersection of the graphs of the given equations by solving their equations simultaneously.Solve the first equation for

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. $(x,y)=$

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola ${\displaystyle y=16-x^2}$
What are the dimensions of the rectangle with the maximum area? What is that area?

Find the velocity and acceleration of the following vector-valued functions.
${\displaystyle r\left(t\right)=e^{-t}i+e^{t}j+4k}$ at ${\displaystyle t=0}$

How do you find the rectangular coordinates of the point with polar coordinates ${\displaystyle (3,\pi )?}$

How do you convert 135 degrees to radians?

Find a path that traces the circle in the plane ${\displaystyle y=5}$ with radius ${\displaystyle r=2}$ and center ${\displaystyle (-1,5,-5)}$ with conctant speed 8.

${\displaystyle r_1\left(s\right)=⟨\underset{―}{}⟩}$

Find the domain of the vector-valued function ${\displaystyle r\left(t\right)=F\left(t\right)\times G\left(t\right)}$, where ${\displaystyle F\left(t\right)=\sin ti+\cos tj,G\left(t\right)=\sin tj+\cos tk}$