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3 years ago

Divide: 48xy4 - 72xy2

Mathematics

1 answer:

Maurinko [17]3 years ago

5 0

12xy2 good luck though :)

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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

Solve for x in the triangle. Round your answer to the nearest tenth.

natta225 [31]

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.

The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.

5 0

2 years ago

What is the value of (-5)^4

butalik [34]

Answer:

625

Step-by-step explanation:

7 0

3 years ago

Together, teammates Pedro and Ricky got 2673 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each

ioda

Answer:

Pedro got 1520 base hits and Ricky got 1243.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of base hits that Pedro got.

y is the number of base hits that Ricky got.

Pedro and Ricky got 2673 base hits last season.

This means that $x + y = 2763$

Pedro had 277 more hits than Ricky.

This means that $x = y + 277$

Replacing in the first equation

$x + y = 2763$

$y + 277 + y = 2763$

$2y = 2486$

$y = \frac{2486}{2}$

$y = 1243$

$x = y + 277 = 1243 + 277 = 1520$

Pedro got 1520 base hits and Ricky got 1243.

4 0

2 years ago

This figure is the net

Afina-wow [57]

I wanna say B but i don’t remember i had that question before though

4 0

3 years ago

Read 2 more answers