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
Arte-miy333 [17]
3 years ago
7

Evaluate the triple integral ∭Tx2dV, where T is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,3,0), and (0,0,3).

Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

the integral I=81

Step-by-step explanation:

for the integral I

I=\int\limits^{}_{}\int\limits^{}_{}\int\limits^{}_{T} {x^{2} } \, dxdydz

where T is the solid tetrahedron , then

I=\int\limits^{3}_{0}\int\limits^{3}_{0}\int\limits^{3}_{0} {x^{2} } \, dxdydz = \int\limits^{3}_{0}dz\int\limits^{3}_{0}dy\int\limits^{3}_{0} {x^{2} } \, dx = (3-0)*(3-0)*1/3*(3^{3}-0^{3}) = 3^{4} = 81

the integral is equal to 81

You might be interested in
Rahul has 5 BLUE BLOCKS, 3 PINK BLOCKS AND 4 GREEN BLOCKS. He wants to count the total number of blocks he is having. In how man
arsen [322]

Answer:

a) He can find the answer in one way

b) We make use of Addition property of mathematics

c) Total number of blocks = 12 blocks

Step-by-step explanation:

a) He can find the answer in one way

b) We make used of addition property of mathematics

c) The total number of blocks he is having is calculated as:

Blue blocks + Pink blocks + Green blocks

Where

Blue blocks = 5

Pink blocks = 3

Green blocks = 4

Hence:

Total number of blocks = 5 + 3 + 4 = 12 block

6 0
3 years ago
PLEASE HELP ME!!!
xeze [42]
<span>associative property of addition and answer is 
</span><span>(u + 7) + 13 = u + (7 + 13)</span>
4 0
4 years ago
Read 2 more answers
Determine whether the ordered pair is a solution of the linear inequality
katrin2010 [14]

Step-by-step explanation:

So you solve the equation for x and then solve it for y. If the x and y match the given ordered pair then the answer is yes

3 0
3 years ago
a kid wants to buy a book but it is 18$ the book is diconted to 15 % off but she still has to pay 6% taxes how much dose she pay
baherus [9]
Discounted at 15% off....means the kid actually paid 85%

0.85(18) = 15.30

and then there is the 6% sales tax...
15.30 * 1.06 = 16.218 rounds to $ 16.22 <== what she pays
4 0
3 years ago
train invest $203.50 in an account that earns 4.5% simple interest at the end of one year how much interest will trains investme
ivann1987 [24]
$203.50×0.045= $9.1575

$9.1575 + $203.50= $212.6575

$212.66
8 0
4 years ago
Other questions:
  • 2+2x=3+2x explain why the equation does not have a solution
    11·1 answer
  • What the estimate of 4 7/8 divided by 1/5
    15·1 answer
  • For what values of a and b is this statement true??<br><br> |a+b|=|a|+|b|
    12·1 answer
  • A line with a slope of 3 passes through the point (0,2). What is it’s equation in slope-intercept form?
    9·1 answer
  • Write 2.028 as a mixed number and simplifyed
    15·1 answer
  • A soccer player ran 180.48 miles in 70.5 days to stay fit. How many miles will he run in 9 days
    6·1 answer
  • Emmanuel brought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he brought last
    14·1 answer
  • What are the intercepts of the equation? Graph the equation.<br> <br> -3x + 4y = -12
    14·1 answer
  • What is 36 with a exponent of 2 dquated
    9·1 answer
  • When parallel lines are cut by a transversal and you have one acute angle and one obtuse angle, those two angles will always add
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!