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3 years ago

Isreal has 575779 ducks and tyier has 585869698 ducks how many ducks do they have in all

1 answer:

4 0

We know that <span>Isreal has 575779 ducks and Tyier has 585869698 ducks . To find how many they have in total we have to add them.
</span>

575779+585869698=586445477

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Natalie walk 3/5 mile and a 1/2 hour . how fast did she walk in in miles per hour?

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She walks 6/5 of a mile in 1 hour

So, she walks 1.2 miles per hour

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3 years ago

The six seventh grade classes held a fundraiser where they sold candy bars. The school's principal award a $1000 prize to be div

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Answer:

8200/1000 = 8.2 so each time a class selss 8.2 bars, they receive 1 dollar.

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3 years ago

Han has 5 pencils and Andre has 8

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3 years ago

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2 years ago

Find a parametric representation for the part of the cylinder y2 + z2 = 49 that lies between the planes x = 0 and x = 1. x = u y

sweet-ann [11.9K]

Answer:

The equation for z for the parametric representation is $z = 7 \sin (v)$ and the interval for u is $0\le u\le 1$ .

Step-by-step explanation:

You have the full question but due lack of spacing it looks incomplete, thus the full question with spacing is:

Find a parametric representation for the part of the cylinder $y^2+z^2 = 49$ , that lies between the places x = 0 and x = 1.

$x=u\\ y= 7 \cos(v)\\z=? \\ 0\le v\le 2\pi \\ ?\le u\le ?$

Thus the goal of the exercise is to complete the parameterization and find the equation for z and complete the interval for u

Interval for u

Since x goes from 0 to 1, and if x = u, we can write the interval as

$0\le u\le 1$

Equation for z.

Replacing the given equation for the parameterization $y = 7 \cos(v)$ on the given equation for the cylinder give us

$(7 \cos(v))^2 +z^2 = 49 \\ 49 \cos^2 (v)+z^2 = 49$

Solving for z, by moving $49 \cos^2 (v)$ to the other side

$z^2 = 49-49 \cos^2 (v)$

Factoring

$z^2 = 49(1- \cos^2 (v))$

So then we can apply Pythagorean Theorem:

$\sin^2(v)+\cos^2(v) =1$

And solving for sine from the theorem.

$\sin^2(v) = 1-\cos^2(v)$

Thus replacing on the exercise we get

$z^2 = 49\sin^2 (v)$

So we can take the square root of both sides and we get

$z = 7 \sin (v)$

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3 years ago