3 years ago

Use the model to solve the percent problem.

Mathematics

1 answer:

luda_lava [24]3 years ago

4 0

30 is 20% of the number 150

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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

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

6 0

3 years ago

What is the best estimate of the mean age of all the people in the tour group?

marissa [1.9K]

Mean = (19 +27 +25+21+44+22+45+34)/8 = 29.625≈30 years

Answer is 30.

7 0

3 years ago

Read 2 more answers

A customer sent in a $230 check to pay off an overdue bill but failed to pay the interest that accrued over the 45 days after th

viva [34]

$230+($45x$0.42=248.90

That is the equation to solve it.

4 0

3 years ago

It costs $7 each way to travel to work each weekday by train. What is the weekly expense each way?

lord [1]

Answer:

it could either be 35 or 70

Step-by-step explanation:

4 0

3 years ago

Melanie bought bags of colored sand that each cost the same. She spent a total of $24. Find three possible costs per bag and the

lukranit [14]

Answer:

Step-by-step explanation:

Factors of 24 are 1,2,3,4,6,8,12,24

Since we are looking for prices as well as quantity, these numbers must go in pairs.

1*24 = option 1

2*12 = option 2

3*8 = option 3

4*6 = option 4

Any of the above 4 pairs can suit the figures. They can even be reversed except option 1 ($1 and 24 bags but not $24 and 1 bag because the question says bags not bag).

7 0

4 years ago