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3 years ago

What is 5 7/10 - 5/18 mixed number fraction

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

7 0

5 88/ 90 you make it into a fraction

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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

1/3 x 1/5 in the simplest form

n200080 [17]

1/15 would be the simplest form 3x5=15

3 0

3 years ago

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What is the total weight of all the fruit she bought?<br> Image included

Nimfa-mama [501]

Answer:

1/3 kilograms

Step-by-step explanation:

7 0

3 years ago

What is the slope of the line shown below?

Sophie [7]

Hi there!

$\large\boxed{slope = \frac{1}{5}}$

Use slope formula to solve for the slope of the line:

$slope = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Plug in points into the equation. We can use the points (0, -10) and (25, -5):

$slope = \frac{-5-(-10) }{25 -0 } = \frac{5}{25} = \frac{1}{5}$

3 0

3 years ago

7 times the sum of a squared and b minus 4 times the sum of a squared and b

LiRa [457]

(7•((a^2)+b))-(4•((a^2)+b))

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3 years ago

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