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
Alenkasestr [34]
3 years ago
14

Evaluate the triple integral_E x^6e^y dV where E is bounded by the parabolic cylinder z = 25 - y^2 and the planes z = 0, x = 5,

and x = -5.
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Nothing crazy here, just a matter of figuring out the limits of integration.

\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx

=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx

=\displaystyle\left(\int_{-5}^5x^6\,\mathrm dx\right)\left(\int_{-5}^5e^y(25-y^2)\,\mathrm dy\right)=\boxed{\frac{625,000(3+2e^{10})}{7e^5}}

You might be interested in
How can you represent the system of inequalities with a matrix? 11x-12y=7 5x+12y=-7
Ahat [919]

\left[\begin{array}{ccc}11&-12&7\\5&12&-7\end{array}\right]


4 0
3 years ago
A student bought 34 pencils for school.if he sharpened 16 of the pencils before school whats is his ratio of unsharpened pencils
Sergio [31]


he bought 34 pencils which I suppose aren't already sharpened

so if he sharpens 16 of them just subtract 16 from 34 (34-16) which equals 18

so the ratio would be 16:18

but if u need to simplify it would be 8:9

3 0
3 years ago
Will give Brainest answer !!! 30 points !!
vova2212 [387]

Answer:

1 is greater than 2 is 5

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
0.84 as a fraction in simplest form
kipiarov [429]

Answer:

21/25

Step-by-step explanation:

82/100 = 21/25

math

3 0
3 years ago
Read 2 more answers
Write a slope intercept form of the equation
astra-53 [7]
Here m = -3/5 and b = 0.

Then y = mx + b becomes y = (-3/5)x + 0, or just   y = (-3/5)x 
8 0
3 years ago
Other questions:
  • A wheel is shaped like a circle with a diameter of 35 cm. To the nearest centimeter, what is the circumference of the wheel?
    8·2 answers
  • What is the value of x?
    9·2 answers
  • What is co efficient of -9xy2z
    6·1 answer
  • Choose whether each decimal terminates or repeats.
    11·2 answers
  • Please help. Have no clue how to do this
    6·1 answer
  • 5. Line l has an equation y = 2x – 4. Write the
    6·1 answer
  • At a sale this week, a suit is being sold for $235.60. This is a 62% discount from the original price.
    11·1 answer
  • What is the product of 2x+ 3 and 4x2 - 5x+ 6?
    14·1 answer
  • 601.584 to the nearest tenth
    14·1 answer
  • 4. 150 men working in a factory produce 6000 articles in 15 working days. How long will it take, a. 50 men to produce the 6000 a
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!