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3 years ago

Answer this pleaseeeee

Mathematics

1 answer:

vitfil [10]3 years ago

8 0

Answer:

Dilation by a scale factor of k results in:

(x, y) → (kx, ky)

Considering this the answers are:

1. Option C
2. Option F
3. Option J
4. Option H

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Hi guys, can anyone help me with this triple integral? Many thanks:)

Crank

Another triple integral. We're integrating over the interior of the sphere

$x^2+y^2+z^2=2^2$

Let's do the outer integral over z. z stays within the sphere so it goes from -2 to 2.

For the middle integral we have

$y^2=4-x^2-z^2$

x is the inner integral so at this point we conservatively say its zero. That means y goes from $-\sqrt{4-z^2}$ and $+\sqrt{4-z^2}$

Similarly the inner integral x goes between $\pm-\sqrt{4-y^2-z^2}$

So we rewrite the integral

$\displaystyle \int_{-2}^{2} \int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}} \int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dx \; dy \; dz$

Let's work on the inner one,

$\displaystyle\int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dz$

There's no z in the integrand, so we treat it as a constant.

$=(x^2+xy+y^2)z \bigg|_{z=-\sqrt{4-y^2-z^2}}^{z=\sqrt{4-y^2-z^2}}$

So the middle integral is

$\displaystyle\int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}}2(x^2+xy+y^2)\sqrt{4-y^2-z^2} \ dy$

I gotta go so I'll stop here, sorry.

7 0

3 years ago

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Find the area. Simplify your answer.

STALIN [3.7K]

Ill need a photo?!! try pasting a photo so i can see it

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3 years ago

The diagram shows a circle with centre O. Points A , B, C and D all lie on the circumference of the circle.

kykrilka [37]

Answer:

The puck travels in a circular path of radius 0.25 m. ... C. away from the centre. D. ... If the speed of the mass at the top of the circle is 3.6

Step-by-step explanation:

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2 years ago

If triangle RST is within Quadrant 2 and csc T = 13/12, what is the value of cotT?

zhuklara [117]

Answer:

$\boxed {cot T = -\frac{5}{12}}$

Step-by-step explanation:

Finding the missing side :

x² = 13² - 12²
x² = 169 - 144
x = √25
x = 5

Taking the cot value :

cot T = adjacent / opposite
cot T = -5/12 (As cot is negative in Quadrant 2)

5 0

2 years ago

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What is inaccurate value

lubasha [3.4K]

Answer:you measured the amount of rainfall incorrectly, your data about the climate would be inaccurate. Accuracy means being very precise and getting the information right. When something is inaccurate, it is the opposite of exact.

Step-by-step explanation:yw

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4 years ago