In the solution of the equation 5-3x=2x+9,3x is added to the equation first. Which of the following should be done next?

Sketch the region bounded by the curves x=y3,x=1, and y=0 then find the volume of the solid generated by revolving this region a

NeX [460]

According to the question, the region is bounded by the curve with the given data as $x = y^{3} , x=1, y=0.$

To compute the volume of the solid, use the disk method. The given object is rotated along the horizontal axis with the disk cross sectional area and the volume can be written as:

$v=\int\limits^a_b {\pi x^{2} } \, dx$

As per question, when x = 1 then the value of y is: y = 1

Now, substituting calculated values in the expression:

$v=\int\limits^a_b {\pi x^{2} } \, dx=v=\int\limits^0_1 {\pi x^{2} } \, dx$

Substitute the value of the variable 'x':

Therefore, the expression can be written as:

$v=\int\limits^a_b {\pi x^{2} } \, dx=v=\int\limits^0_1 {\pi x^{2} } \, dx=\int\limits^0_1 {\pi (y^{3}) ^{2} } \, dx=\frac{\pi }{7}=0.448$

To learn more about the integration from the given link:

<u>brainly.com/question/988162</u>

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5 0

1 year ago

Question 6 of 10

Oksana_A [137]

Answer:

A

Step-by-step explanation:

to subtract a function from the other you just subtract the expressions of the functions from each other :

(f-g)(x) = (5x - 2) - (2x + 1) = 5x - 2 - 2x - 1 = 3x - 3

so, A is correct.

6 0

2 years ago

20 points + brainliest, give explanation

Nadusha1986 [10]

Answer:

The answer is 72 degrees Z is also 180 by the way

Step-by-step explanation:

A straight line is 180 so subtract 108 and you will get the angle 72 degrees

8 0

3 years ago

Read 2 more answers

The amount of chlorophyll in a leaf changes based on outside temperature. What's the independent variable in the situation?

I am Lyosha [343]

Answer:

Step-by-step explanation:

Given that the amount of chlorophyll in a leaf changes based on outside temperature. Here there are two variables.

i) Amount of chlorophyll in a leaf

ii) outside temperature

Here outside temperature is an independent variable as amount of chlorophyll in a leaf cannot control it.

But on the other hand, Amount of chlorophyll in a leaf depends on the outside temperature and hence cannot be independent but dependent variable

Recall the definition of dependent and independent variable

An independent variable is the variable that is controlled in a scientific experiment to test the effects on the dependent variable.

A dependent variable is the variable being tested and measured in a scientific experiment.

6 0

3 years ago

If csctheta=11/4 & tan Thea< 0 Use the fundamental identities to evaluate cottheta.

JulsSmile [24]

Answer:

$\cot{\theta} = -\frac{\sqrt{105}}{11}$

Step-by-step explanation:

Fundamental identities:

These following trigonometric identities are used to solve this question:

$\sin^{2}{\theta}+\cos^{2}{\theta} = 1$

$\csc{\theta} = \frac{1}{\sin{\theta}}$

$\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}$

With the cossecant, we can find the sine. So:

$\csc{\theta} = \frac{1}{\sin{\theta}}$

$\frac{11}{4} = \frac{1}{\sin{\theta}}$

$11\sin{\theta} = 4$

$\sin{\theta} = \frac{4}{11}$

With the sine, we find the cosine.

Since the tangent is negative, the cosine is negative. So

$\sin^{2}{\theta}+\cos^{2}{\theta} = 1$

$(\frac{4}{11})^{2} + \cos^{2}{\theta} = 1$

$\frac{16}{121} + \cos^{2}{\theta} = \frac{121}{121}$

$\cos^{2}{\theta} = \frac{105}{121}$

$\cos{\theta} = -\frac{\sqrt{105}}{11}$

Cotangent:

$\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}$

$\cot{\theta} = \frac{-\frac{\sqrt{105}}{11}}{\frac{4}{11}}$

$\cot{\theta} = -\frac{\sqrt{105}}{11}$

7 0

3 years ago