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3 years ago

QUESTION 7, Saturday, October 10th, 2020

Mathematics

2 answers:

Trava [24]3 years ago

7 0

Answer:

DE≅JK

Step-by-step explanation:

already have aa need the side after or before the 2 angles

asambeis [7]3 years ago

5 0

Answer:

DF≅JL

Step-by-step explanation:

We have one side and one angle, need one more side such that the angle is between those sides. It will make SAS congruency

<u>So required sides are</u>

DF≅JL

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5 1/5 divided by -13/15

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2 years ago

A Cylinder has a base diameter of 4cm and a height of 2cm. What is it’s volume in cubic cm, to the nearest tenths place

s2008m [1.1K]

Answer: The answer is v=25.1 cm³

Step-by-step explanation:

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6 0

1 year ago

Suppose that surface σ is parameterized by r(u,v)=⟨ucos(3v),usin(3v),v⟩, 0≤u≤7 and 0≤v≤2π3 and f(x,y,z)=x2+y2+z2. Set up the sur

Bad White [126]

Looks like you have most of the details already, but you're missing one crucial piece.

$\sigma$ is parameterized by

$\vec r(u,v)=\langle u\cos3v,u\sin3v,v\rangle$

for $0\le u\le7$ and $0\le v\le\frac{2\pi}3$ , and a normal vector to this surface is

$\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\left\langle\sin3v,-\cos3v,3u\right\rangle$

with norm

$\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=\sqrt{\sin^23v+(-\cos3v)^2+(3u)^2}=\sqrt{9u^2+1}$

So the integral of $f(x,y,z)=x^2+y^2+z^2$ is

$\displaystyle\iint_\sigma f(x,y,z)\,\mathrm dA=\boxed{\int_0^{2\pi/3}\int_0^7(u^2+v^2)\sqrt{9u^2+1}\,\mathrm du\,\mathrm dv}$

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2 years ago