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tensa zangetsu [6.8K]

3 years ago

5

Each suite has 3 beds and there is a bed side table beside each side of each bed. How many bed side tables are there in all the

suites?

1 answer:

sesenic [268]3 years ago

6 0

Answer:

8

Step-by-step explanation:

3 + 3 + 2

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Find the surface area of the part of the circular paraboloid z=x^2+y^2 that lies inside the cylinder X^2+y^2=1

hichkok12 [17]

Answer:

$\mathbf{\dfrac{\pi}{6}[5 \sqrt{5}-1]}$

Step-by-step explanation:

Given that:

The surface area (S.A) $z = x^2 +y^2$

Hence the S.A is of form z = f(x,y)

Then the S.A can be represented with the equation

$A(S) = \iint _D \sqrt{1+ (\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2} \ dA$

where :

D = cylinder $x^2 +y^2 =1$

In polar co-ordinates:

D = {(r, θ): 0≤ r ≤ 1, 0 ≤ θ ≤ 2π)

Similarly, $\dfrac{\partial z}{\partial x} = 2x$ and $\dfrac{\partial z}{\partial y} = 2y$

Therefore;

$S.A = \iint_D \sqrt{1+4x^2+4y^2} \ dA$

$= \iint_D \sqrt{1+4(x^2+y^2)} \ dA$

$= \int^{2 \pi}_{0} \int^{1}_{0} \sqrt{1+4r^2} \ r \ dr \d \theta$

$= [\theta]^{2 \pi}_{0} \dfrac{1}{8}\times \dfrac{2}{3}\begin {bmatrix} (1+4r^2)^{\dfrac{3}{2}}\end {bmatrix}^1_0$

$= 2 \pi \times \dfrac{1}{12}[5^{\dfrac{3}{2}} - 1]$

$\mathbf{=\dfrac{\pi}{6}[5 \sqrt{5}-1]}$

6 0

3 years ago

Please answer this correctly

jarptica [38.1K]

Answer:

18 roses

Step-by-step explanation:

In the given stem-leaf chart, 18 is the smallest number having 1 as "stem" and 8 as "leaf".

4 0

3 years ago

When using blocking to deal with extraneous factors in an experiment, the

Elena L [17]

Answer:

<em>False</em>

Step-by-step explanation:

took the test

6 0

3 years ago

The average of three numbers is 25. The average of two of those numbers is 21. What is the value of the third number of the orig

Elza [17]

Answer:

b) 33

Step-by-step explanation:

You reverse the process of finding the second average, 21, which will help you find the original average, 25. First you multiply the second average, 21, to retrace your steps. We do this because the last thing we do when we find the average is divide. when you multiply 21 you get 42. Now you have the value of the first two numbers. Then you experiment with the numbers. To save time I'll get to the point. When you add 33 + 42 you get 75. Then you divide by 3 to get 25. You divide by three because the instructions say there was 3 numbers to start with. Hope this helps.

8 0

3 years ago

Please help in math!! Solution needed

Marysya12 [62]

This is the same as any math problem you may have solved before.

First, start by isolating the x on one side. I will choose to keep the coefficient positive, so I will add x to both sides.

6>2x+2

Subtract 2

4>2x

Divide by 2

2>x

Or

x<2

5 0

2 years ago

Read 2 more answers