Solve the given Alternate Coordinate Systems and give a correct answer 10) Convert the equation from Cartesian to polar coordinates solving for

Falak Kinney
2021-01-02
Answered

Solve the given Alternate Coordinate Systems and give a correct answer 10) Convert the equation from Cartesian to polar coordinates solving for

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BleabyinfibiaG

Answered 2021-01-03
Author has **118** answers

Solution: Relation between polar Co-ordinate system and Cartesian Co-ordinate system

given that -

Finally answer is

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Find Maximum Volume of a rectangular box that is inscribed in a sphere of radius r.

The part i do not get the solutions manual got$2x,\text{}2y$ , and $2z$ as the volume. Can you explain how the volume of the cube for this problem is $v=8xyz?$

The part i do not get the solutions manual got

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What coordinate system is suggested if the integrand of a triple
integral involves ${x}^{2}+{y}^{2}?$

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Describe in words the region of $R{R}^{3}$ represented by the equation or inequality.

$z\ge -1$

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A subset ${u}_{1},...,{u}_{p}$ in V is linearly independent if and only if the set of coordinate vectors

$[{u}_{1}{]}_{\beta},...,[{u}_{p}{]}_{\beta}$

is linearly independent in${R}^{n}$

is linearly independent in

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Consider the solid that is bounded below by the cone $z=\sqrt{3{x}^{2}+3{y}^{2}}$

and above by the sphere${x}^{2}+{y}^{2}+{z}^{2}=16.$ .Set up only the appropriate triple integrals in cylindrical and spherical coordinates needed to find the volume of the solid.

and above by the sphere

asked 2021-02-25

The change - of - coordinate matrix from $\mathcal{B}=\left\{\left[\begin{array}{c}3\\ -1\\ 4\end{array}\right]\left[\begin{array}{c}2\\ 0\\ -5\end{array}\right]\left[\begin{array}{c}8\\ -2\\ 7\end{array}\right]\right\}$

to the standard basis in$R{R}^{n}.$

to the standard basis in

asked 2020-10-26

Plotting points and finding distance in three dimensions. Two points P and $\underset{\u2015}{O}$ are given.

(a) Plot P and$\underset{\u2015}{O}$ .

(b) Find the distance between P and$\underset{\u2015}{O}.$

$P(3,1,0),\underset{\u2015}{O}(-1,2,-5)$

(a) Plot P and

(b) Find the distance between P and