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vazorg [7]
3 years ago
5

A wedge is cut out of a circular cylinder of radius 4 by two planes. One plane is perpendicular to the axis of the cylinder. The

other intersects the first at an angle of 30◦ along a diameter of the cylinder. Find the volume of the wedge.

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

Step-by-step explanation:

The steps and appropriate integration to get the volume of the wedge from the area is as shown in the attached file.

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Answer:

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Step-by-step explanation:

3 0
4 years ago
Is 3/x+4/y=2 linear or non-linear
Eduardwww [97]

The given equation is non-linear.

Solution:

Given expression is \frac{3}{x} +\frac{4}{y} =2.

To find the equation is linear or non-linear.

Linear equation is a straight line which is in the form ax + by + c = 0.

Otherwise it is non-linear equation.

⇒ \frac{3}{x} +\frac{4}{y} =2

Do cross multiply for the fractions to make the denominators same.

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Do cross multiplication.

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5 0
3 years ago
2x + 3y = 15 and x - 3y = 3 What's the ordered pair
Ganezh [65]

Answer:

x = 6

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Step-by-step explanation:

to solve this system of equation we say let

2x + 3y = 15 .......................... equation 1

x - 3y = 3.................................. equation 2

from equation 2

x - 3y = 3.................................. equation 2

x = 3 + 3y.................................... equation3

substitute for x in equation 1

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2(3+3y) + 3y = 15

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divide both sides by the coefficient of y

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4 0
3 years ago
Please help quick!!<br>​
Nataly [62]

Hi !

∫ \frac{t}{t + 1}dt

We need to prove that it is equal to

∫ \frac{u - 1}{u}du

As per given options, Substitute <em>u</em> by <em>t</em><em>+</em><em>1</em><em> </em>

=  > ∫ \frac{u - 1}{t + 1} du

<em>Then</em><em> </em><em>given</em><em> </em><em>t</em><em> </em><em>=</em><em> </em><em>u</em><em>-</em><em>1</em>

=  > ∫ \frac{t}{t + 1} du

Then substitue the third given value also

=  > ∫ \frac{t}{t + 1} dt

Therefore, it's <u>proved</u>

~<em>Hop</em><em>e</em><em> </em><em>i</em><em>t</em><em> </em><em>h</em><em>e</em><em>l</em><em>p</em><em>s</em>

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The square prism has a base length of 2 ft. Which describes the cross section of the prism that iS perpendicular to the
Anon25 [30]

Answer:

A-a rectangle with two 12-ft sides and two 2-ft sides

Step-by-step explanation:

Got it right on edge

7 0
3 years ago
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