1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatuchka [14]
3 years ago
12

the area of the region bounded by the curve y=e^2x the x axis the y axis and the line x=2 is equal toA) e^4/2 -e B) e^4/2 - 1 C)

e^4/2 - 1/2 D) 2e^4 -e E) 2e^4 -2

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:b

Step-by-step explanation:

Given

y=e^{2x}

Area bounded by y=e^{2x}, y=0,\ x=0\ and\ x=2 is shown by shaded area in the diagram

Area=A=\int_{0}^{2}ydx

A=\int_{0}^{2}e^{2x}dx

A=\left [ \frac{e^{2x}}{2}\right ]^{2}_{0}

A=\frac{1}{2}\left [ e^4-e^0\right ]

A=\frac{e^4}{2}-1

thus option b is correct

You might be interested in
A certain granola bar has 2 grams of fiber. This is 8% of the recommended daily value. How many grams of fiber are recommended d
xeze [42]
If you formulate the question into a word equation it comes out: 

2 grams fiber = .08   <span>×    DRV
          </span>↑          ↑   ↑     <span>↑</span>      <span>↑
    2 g fiber    is  8%  of   the daily recommended value.

Now solve for DRV to find the daily recommended value:

2 g fiber/.08 = DRV

DRV = 25 g fiber</span>
6 0
3 years ago
Plz help asap !!! The high school jazz band is selling homemade leather bracelets at a local craft fair to raise money for a tri
coldgirl [10]

Answer:

b. y=2x-200

c. there will be no profit because 2 times 100 = 200, meaning they only earned back the money they already spent.

d. (domain or y-values) minimum: -200 maximum: 320

(range or x-values) maximum: 260

3 0
3 years ago
3x-32=-7×+28. what does x =​
Vitek1552 [10]

Hello!

3x - 32 = -7x + 28

-32 - 28 = -7x - 3x

-60 = -10x

-6 = -x

6 = x

x = 6

I hope this helps you! Have a lovely day!

- Mal

3 0
3 years ago
Read 2 more answers
Any help would be great
nadya68 [22]

Answer:

15

Step-by-step explanation:

38=10+13+c

c=38-10-13=15

Hope this helps!

8 0
3 years ago
Please help! i need to find the mean
irina1246 [14]

Answer:

<h3>          The mean is 3.74</h3>

Step-by-step explanation:

\overline x =\dfrac{-3\cdot4+(-2)\cdot2+3\cdot1+4\cdot1+6\cdot4+8\cdot7}{4+2+1+1+4+7}\\\\\\\overline x =\dfrac{-12-4+3+4+24+56}{19}\\\\\\\overline x =\dfrac{71}{19}=3.7368421....\approx3.74

7 0
3 years ago
Other questions:
  • A fair coin tossed 3 times in a row. What is the probability that heads appear on only the last toss?
    10·2 answers
  • Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.
    14·2 answers
  • Is f(x)=x^2-2x+3 a quadratic function
    8·2 answers
  • The distance that Sarah travels varies directly to how long she drives. She travels 440 miles in 8 hours. 
    11·2 answers
  • Which statement about fractions equivalent to One-half is always true?
    15·2 answers
  • Sally gave 2 cookies to Fred
    14·1 answer
  • Need Help ASAP 50 POINTS
    11·2 answers
  • The sum of one and the product of one and a number xxx.
    15·1 answer
  • Picture shows the questions
    9·1 answer
  • If m _1 = 40°, then m AB<br> =
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!