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
kotykmax [81]
3 years ago
7

Use the given transformation to evaluate the integral.

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

For the transformation

\begin{cases}x=7u+v\\y=u+7v\end{cases}

the Jacobian is

\dfrac{\partial(x,y)}{\partial(u,v)}=\begin{bmatrix}7&1\\1&7\end{bmatrix}

with determinant

\det\left(\begin{bmatrix}7&1\\1&7\end{bmatrix}\right)=48

The vertices of the triangle in the u,v-plane are

(x,y)=(0,0)\implies(u,v)=(0,0)

(x,y)=(7,1)\implies(u,v)=(1,0)

(x,y)=(1,7)\implies(u,v)=(0,1)

Then the integral is

\displaystyle\iint_R(x-8y)\,\mathrm dA=-48\int_0^1\int_0^{1-v}(u+55v)\,\mathrm du\,\mathrm dv=\boxed{-448}

You might be interested in
Please answer this in steps....​
SOVA2 [1]
<h2>Answer:</h2><h2>The answer is 3.14..</h2><h2>For finding it you have to divide the given numbers.</h2>

This is also a value of π (pi)

4 0
3 years ago
Which property is represented by the following equation? 2 + (3 + 4) = (2 + 3) + 4​
Marysya12 [62]

Answer:

associative prop

Step-by-step explanation:

7 0
3 years ago
How many meters are in 3,456 millimeters? is it 3456000?
Oksi-84 [34.3K]

Answer:

3.456

Step-by-step explanation:

one meter is 100 millimeters

7 0
2 years ago
Read 2 more answers
a group of 60 children went on a trip to the zoo 7/10 of the children had never been there how many children went to the zoo for
zvonat [6]

Answer:

42

Step-by-step explanation:

as you divide 10 into 60 and then multiply it by 7 and your answer will be 42

5 0
2 years ago
while exercising victor walked 1/8 of a mile in 1/9 of an hour. at this rate, how far will he travelled after an hour?
ExtremeBDS [4]
1 and 1/8 of a mile is how far he’ll walk
8 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x:<br> 5x+4=x+44
    6·2 answers
  • (0,5) (-5,1)<br> write an equation for the line that passes through the given points.
    10·1 answer
  • X + 7 &lt; 9<br> Help please
    11·1 answer
  • Jamal has $15.00 to spend at the concession stand. He buys nachos for 7.50, and he wants to purchase some sour straws for$1.50 e
    8·2 answers
  • Malloy solved the equation −5x − 16 = 8; his work is shown below. Identify the error and where it was made. −5x − 16 = 8 Step 1:
    14·2 answers
  • Y'all help me out a sec please!
    8·1 answer
  • What does 24 divided by 1.5 equal.
    15·2 answers
  • Will is 22​% taller than​ Wanda, so​ Will's height is​ ____% of​ Wanda's height.
    12·1 answer
  • A. If the bank provides an annual percentage yield of 3.2%, what will be the balance when lucy turns 1? turns 2? turns 3?
    8·1 answer
  • Please help it would be greatly appreciated:)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!