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Svet_ta [14]
2 years ago
7

(1 Convert the integral below to polar coordinates and evaluate the integral. ∫4/2√0∫16−y2√yxydxdy∫04/2∫y16−y2xydxdy Instruction

s: Please enter the integrand in the first answer box, typing theta for θθ. Depending on the order of integration you choose, enter dr and dtheta in either order into the second and third answer boxes with only one dr or dtheta in each box. Then, enter the limits of integration and evaluate the integral to find the volume. ∫BA∫DC∫AB∫CD =_____A = _______B = _______C = _______D =_______Volume =_______

Mathematics
1 answer:
Tanzania [10]2 years ago
4 0

Answer:

A = 0

B = π/4

C = 0

D = 4

Volume = 16

Step-by-step explanation:

∫BA∫DC∫AB∫CD is shown in the picture attached

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Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles t
neonofarm [45]

Answer:

alternate interior angles theorem

Step-by-step explanation:

The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.

Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:

∠ 4 ≅ ∠6, ∠1 ≅ ∠7

5 0
2 years ago
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What is the sum of all positive integers smaller than $1000$ that can be written in the form $100\cdot 2^n$, where $n$ is an int
netineya [11]

Answer:

The sum is 1575.

Step-by-step explanation:

Consider the provided information.

It is given that positive integers smaller than 1000 and that can be written in the form 100\cdot 2^n

Where n is integer that means the value of n can be a positive number or a negative number.

For n = 0

100\cdot 2^{0}=100

For n=-1

100\cdot 2^{-1}=50

For n=-2

100\cdot 2^{-2}=25

For n = -3 the obtained number is not an integer.

Now consider the positive value of n.

For n=1

100\cdot2^1 = 200

For n=2

100\cdot2^2 = 400

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100\cdot2^3 = 800

For n=4 the obtained number is greater than 1000.

Now add all the numbers.

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Hence, the sum is 1575.

6 0
2 years ago
Diana sold 336 muffins at the bake sale.Bob sold 287 muffins.Bob estimates that he sold 50 fewer muffins than Diana.how did he e
malfutka [58]

Step-by-step explanation:

Since we have given that

Number of muffins Diana sold at the bake sale = 336

Number of muffins Bob sold at the bake sale = 287

Now, here we are using the method of estimation i.e. rounding the integers to nearest ones.

By estimation, we get

Number of muffins Diana sold at the bake sale = 340

Number of muffins Bob sold at the bake sale = 290

So,

Difference between them is given by

340-290\\=50

Hence, Bob sold 50 fewer muffins than Diana.

3 0
2 years ago
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The sides of a square are five to the power of two fifths inches long. What is the area of the square?
Feliz [49]
I believe the correct answer from the choices listed above is the first option. If the  sides of a square are five to the power of two fifths inches long, then the are of the square would be <span>five to the power of four fifths square inches. Hope this answers the question.</span>
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2 years ago
Mr. Davies spent $240 on lunch for his class. Sandwiches x cost $6 and drinks y cost $2. This can be represented by the equation
gtnhenbr [62]

Answer: the x intercept represents the maximum number of sandwiches that can be purchased bc no drinks would be purchased. The y intercept represents how many drinks could be purchased if he didn’t buy any sandwiches

Step-by-step explanation:

7 0
1 year ago
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