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solmaris [256]
3 years ago
14

Help me again I really don’t know how to do this

Mathematics
1 answer:
Bad White [126]3 years ago
3 0
You should use ask ur mom or dad
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Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.
rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed  as:

y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}

Thus, the area of the surface is as follows:

\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA

= \iint_D \sqrt{x^2 +y^2 +1 } \ dA

= \int^{2 \pi}_{0} \int^{6}_{0} \ r  \sqrt{r^2 +1 } \ dr \ d \theta

=2 \pi \int^{6}_{0} \ r  \sqrt{r^2 +1 } \ dr

= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0

= 2 \pi \times \dfrac{1}{3}  \Bigg [ (37)^{3/2} - 1 \Bigg]

= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]

3 0
3 years ago
Why is “3 meals a day” a unit rate? It compares 1 meal to 1 day. It compares 1 meal to 3 days. It compares 3 meals to 1 day. It
asambeis [7]

Answer:

  It compares 3 meals to 1 day.

Step-by-step explanation:

"Unit rate" refers to a rate that has 1 unit in the denominator.

  (3 meals)/(1 day) . . . . "three meals per day"

has one unit (1 day) in the denominator, so that is a unit rate.

3 0
3 years ago
PLS ANSWER THE FOLOWWING QUESTION
sashaice [31]

Answer:

Lines p and q are parrallel.

Step-by-step explanation:

Lines are 180 degrees. We can use that to find out the other angles.

180 - 140 = 40

180 - 40 = 140

6 0
3 years ago
NEED HELP ASAP!!!!!!!!!!
Alona [7]

Answer:

i dont know what your asking

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write 32 +24 as a product of two factors using the gcf and the distributive property
dlinn [17]

Answer:

4 * 14

Step-by-step explanation:

Given

32 + 24

Required

Write as a product of two factors

First, we need to get the GCF of 32 and 24

The factors of 32 and 24 are:

32 =  1, 2, 4, 8, 16, 32.

24 = 1, 2, 3, 4, 6, 8, 12, 24

The GCF (greatest common factor) is 8

So, the expression 32 + 24 can be rewritten as:

32 + 24= 4(8 + 6)

Add 8 + 6

32 + 24= 4(14)

32 + 24= 4 * 14

Hence,

32 + 24 can be rewritten as 4 * 14

4 0
3 years ago
Read 2 more answers
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