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

Answers

Answer 1
Answer:

∫ 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


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Which steps transform the graph of y•x^2 to y = -2(x - 2)^2 + 2


Translate 2 units to the left, translate down 2 units, stretch by the factor 2


Translate 2 units to the right, translate up 2 units,stretch by the factor 2


Reflect across the x-axis, translate 2 units to the left, translate down 2 units, stretch by the factor 2

Translate 2 units to the right, reflect across x-axis, stretch by the factor 2, and translate up 2 units

Answers

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of y = x ^ 2 into y = -2(x - 2) ^ 2 + 2 the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let y = f (x-2) then y =(x-2) ^ 2 Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do y = -f(x) Then f (x) = -(x-2) ^ 2

3) Stretch according to factor 2.

For this we do y = 2f(x)

Then we have f(x) = -2 (x-2) ^ 2

4) Move up the graph in two units:

We do y = f(x) +2

Then y = -2(x-2) ^ 2 +2.

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

Final answer:

To transform the graph from y • x^2 to y = -2(x - 2)^2 + 2, you need to translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units.

Explanation:

The correct steps to transform the graph of y•x^2 to y = -2(x - 2)^2 + 2 are:

  1. Translate 2 units to the right
  2. Reflect across the x-axis
  3. Stretch by the factor 2
  4. Translate up 2 units

Learn more about Transforming Graphs here:

brainly.com/question/19040905

#SPJ3

Solve the equation 3x+6y=18 for x

Answers

3x+6y=18
subtract 6y from both sides
3x=18-6y
divide by 3
x=6-2y

Hi there!


When you answer a math problem with 2 variables, you have to make sure the other is in your answer. :)


Solve for x -


Step 1) Add -6y to both sides.


3x + 6y + -6y = 18 + -6y

3x = -6y + 18


Step 2) Divide both sides by 3.


3x/3 = -6y + 18/3

x = -2y + 6


Final Answer -


x = -2y + 6


Hope this helps!

If you need anything else, send me a message! I'd be happy to help! :D

What is 1/3 written as a decimal?
O 0.45
O 0.8
O 0.8
O 4.5

Answers

Hey there!

In order to convert a fraction to a decimal you have to DIVIDE the NUMERATOR (the TOP number) by the DENOMINATOR (the BOTTOM number).

The formula is:

a/b

= a ÷ b

= c

Whereas, “a” is your numerator, “b” is your denominator, & “c” is your decimal


Now that we have that information out the way we can answer your question.


4/5

= 4 ÷ 5

= 0.80

Therefore, your answer is: Option B. 0.8


Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

0.80

Step-by-step explanation:

4/5 as a decimal is 0.80

Four classmates were asked to decorate one fifth of the bulletin board in a classroom. They divided the section to be decorated equally among 4 classmates. What fraction of the entire bulletin board did each classmate decorate

Answers

(1/5) x (1/4) = 1/20
each classmate decorated 1/20th of the entire board

Answer:120

Step-by-step explanation: 1/5 x 1/4 = 120.

What value of r makes the equation true? r + (–0.16) = 0.37
a. –0.53
b. –0.21
c. 0.21
d. 0.53

Answers

r+(-0.16)=0.37
r-0.16=0.37
r=0.37+0.16
r=0.53
The answer is: d. 0.53
D is the answer to your question.

HELP Use PRT to Sovle * Find P * I =14,400 R=8% T= 30 years 8%=.08

Answers

You simply plug the values into the equation and isolate p.

i=prt
Plug in the values.
14,400=p(.08)(30)
Multiply 30 and .08
14,400=p(2.4)
Divide by 2.4 to isolate p.
6000=p

So,

The answer is 6000=p