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3 years ago

Find the surface area and the volume, help me pretty please

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

The surface area is 13.08 and the volume is 3.14

Step-by-step explanation:

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Is it true that the integral LaTeX: \int x^2e^{2x}dx ∫ x 2 e 2 x d x can be evaluated using integration by parts? If so, state t

Marysya12 [62]

Answer:

Yes the integral can be evaluated by integration by parts as solved below.

Step-by-step explanation:

$\int x^{2}e^{2x}dx$

Taking algebraic function as first function and exponential function as second function we have

$\int x^{2}e^{2x}dx=x^{2}\int e^{2x}dx-\int (x^{2})'\int e^{2x}dx\\\\=x^{2}\frac{e^{2x}}{2}-\int 2x\times \frac{e^{2x}}{2}dx\\\\\frac{x^{2}e^{2x}}{2}-\int xe^{2x}dx\\\\Now\\\\\int xe^{2x}dx=x\int e^{2x}dx-\int 1\cdot \int e^{2x}dx\\\\=\frac{xe^{2x}}{2}-\int \frac{e^{2x}}{2}dx\\\\\frac{xe^{2x}}{2}-\frac{e^{2x}}{4}\\\\\therefore \int x^{2}e^{2x}dx=\frac{x^{2}e^{2x}}{2}-\frac{xe^{2x}}{2}+\frac{e^{2x}}{4}$

5 0

3 years ago

Solve the following problems:

guajiro [1.7K]

Answer:

100 and 120

Step-by-step explanation:

I might be wrong but there were no answers

3 0

3 years ago

A sample of 255 observations is selected from a normal population with a population standard deviation of 27. The sample mean is

sladkih [1.3K]

Answer:

1.691

Step-by-step explanation:

Standard error of the mean is expressed as SEM = S/√n

S is the population standard deviation

n is the sample size (number of observation)

Given S = 27 and n = 255

SEM = 27/√255

SEM = 27/15.97

SEM = 1.691

Hence the standard error of the mean is 1.691

3 0

3 years ago

Subtract 10y - 8 from By 8y– 3.

Kruka [31]

(8y - 3) - (10y - 8) # Add or subtract like terms

-2y + 5

Hope this helps!

8 0

3 years ago

Read 2 more answers

Find the nth term of this number sequence<br>15, 12, 9, 6....

Ann [662]

Answer:

You only have four terms so n can only be 1, 2, 3 or 4!

I think you mean: What is the nth term of the sequence 15, 12, 9, 6, …?

The ellipsis (…) tells us that the sequence continues.

This is an arithmetic sequence, where the general term is: a+bn

n=1:a+b=15 [Eq. 1]

n=2:a+2b=12 [Eq. 2]

Subtracting Eq. 1 from Eq.2: b=−3

Substituting this into Eq. 1: a−3=15⇒a=18

Thus the nth term is: 18−3n

Step-by-step explanation:

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8 0

3 years ago