All categories

2 years ago

Evaluate ∫ e3x cosh 2x dx A. 1/2e5x + 1/2ex + C B. 1/10e5x + 1/5 x + C C. 1/10e5x + 1/2ex + C D. 1/4e3x + 1/2 x + C

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

6 0

∫ e^(3x)*(cosh(2x)dx

= ∫ [e^(3x)*(e^(2x)+e^(-2x))/2]dx

= ∫ [(e^(5x)+e^x)/2]dx

=e^(5x)/10+e^x/2+C

=(1/10)(e^(5x)+5e^x)+C

You might be interested in

9. Find the dimensions of the 4 triangular faces of the pyramid. (Height is 55.5 ft)

Minchanka [31]

Answer:

$Q=\frac{\pi}{2}*55.5ft=87.18ft\\P=87.18ft*\sqrt{\frac{1}{2}+\frac{16}{\pi ^{2}}}=87.18*0.9515=82.95ft\\$

Step-by-step explanation:

We have a 4-sided triangular pyramid , where

$Q=\frac{\pi}{2}*H\\P=Q*\sqrt{\frac{1}{2}+\frac{4}{\pi ^{2}}}\\Q=\frac{\pi}{2}*55.5ft=87.18ft\\P=87.18ft*\sqrt{\frac{1}{2}+\frac{16}{\pi ^{2}}}=87.18*0.9515=82.95ft\\$

3 0

3 years ago

A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior co

gavmur [86]

Answer:

The total number of ways are 168.

Step-by-step explanation:

Consider the provided information.

There are 7 junior and 3 senior coders in her group.

The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.

For second project we have 3 choices and for third project we have 7 choices.

Now there are 2 possible case:

Case I: If first and second coder is senior, then the total number of ways are:

$3\times 2\times 7=42$

Case II: If first and third coder is junior, then the total number of ways are:

$7\times 3\times 6=126$

Hence, the total number of ways are: 42+126=168

6 0

2 years ago

Derrick had to paint two of his bedroom walls

swat32

Can you be more specific with the question

3 0

2 years ago

Use Euler’s Formula to find the missing number. Edges: 37 Faces: 25 Vertices: ?

matrenka [14]

Answer:

Step-by-step explanation:

Comment

The formula that relates edges faces and vertices is F + V = E + 2

Givens

Edges (E): 37

Faces (F) = 25

Vertices: x

Solution

25 + x = 37 + 2 Subtract 25 from both sides.

25-25 +x= 37 - 25 + 2 Combine

x = 12 + 2

x = 14

Answer: The vertices = 14

7 0

1 year ago

Find the value for x and y for the triangle. Show work.

HACTEHA [7]

Answer:x= 8/√3, y= 16/ √3

Step-by-step explanation:

See the picture below

4 0

2 years ago