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3 years ago

An experiment involves flipping a coin three times.

Mathematics

1 answer:

goblinko [34]3 years ago

4 0

50/50 change because your only flipping it 2

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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

2 years ago

Math item stem image<br> does this figure have symmetry

bearhunter [10]

Answer: yes

Step-by-step explanation:

3 0

2 years ago

Is 4/6 = 9/12 not proportionate

andre [41]

$\text{If}\ \dfrac{a}{b}=\dfrac{c}{d}\ \text{is proportional, then}\ ad=bc.\\\\\text{We have}\ \dfrac{4}{6}=\dfrac{9}{12}.\ \text{Cross multiply}\\\\(4)(12)=(6)(9)\\\\48=54\ FALSE\\\\Answer:\ NOT\ PROPORTIONAL$

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2 years ago

What is 0.5,3/16,0.75,5/48 from least to greatest

frez [133]

3/16 as a decimal is 0.18
and 5/48 as a decimal is 0.10
SO
you have 0.10, 0.18, 0.75, and 0.5 so put that in order

3 0

3 years ago

The Hawks won 7 games lost 6 games and tied 2 games what percent of all the games did they win

Airida [17]

I believe the answer is 47%.

4 0

2 years ago

Read 2 more answers