Answer:
The answer is 48 units³
Step-by-step explanation:
If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,

Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,

After performing the elementary y integral we obtain the desired volume as below,

Answer:
Steps given below and graph is attached.
Step-by-step explanation:
First Step:
Find out
by substituting 

Second Step:
Find out
by substituting 

Third Step:
Draw a line passing through
.
Graph is attached.
Answer:
(1, -1)
Step-by-step explanation:
If you replace y and x with (1 and -1) you have -1 - 2^1 < -3
And that equals -3 if solved. The sign says equal to or less than, so you answer is (1, -1)
we have

If c is the independent variable
then
p is the dependent variable
so
clear variable p

Divide by
both sides

Adds
both sides


Write the equation in function notation

therefore
the answer is
the equation in function notation is equal to 
Answer:
25
Step-by-step explanation:
- - 6/5x = -30 ⇒ multiply both sides by -1
- 6/5x = 30 ⇒ multiply both sides by 5
- 6x = 5*30
- x = 150/6 ⇒ divide both sides by 6
- x = 25 ⇒ answer