Wribreeminsl
2021-09-12
Answered

Find the area of the largest rectangle that can be inscribed in the ellipse $\frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{{b}^{2}}=1$

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Corben Pittman

Answered 2021-09-13
Author has **83** answers

The ellipse will be:

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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.$(x,\text{}y)=$

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.

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The Cartesian coordinates of a point are given.

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(ii) Find polar coordinates

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Find the domain of the vector-valued functions:

(a)$\overrightarrow{r}\left(t\right)=\u27e8{t}^{-1},{(t+1)}^{-1},{\mathrm{sin}}^{-1}\left(t\right)\u27e9$

(b)$\overrightarrow{r}\left(t\right)=\u27e8\sqrt{8-{t}^{3}},In\left(t\right),{e}^{\sqrt{t}}\u27e9$

(a)

(b)