calc_tutorial_15_2_039

 
Problem Statement

{8,12,16,20,24}
20/2
10/2
round(pow(10,2)/2,2)
5+50.00

Calculate the double integral of f(x, y) over the triangle in the figure below.

 
Step 1

Question Sequence

Question 1

In order to integrate over this triangular region, we need the equations of the upper and lower bounds.

Find the equation of the lower bound.

y =

A.
B.
C.
D.

Find the equation of the upper bound.

y =

A.
B.
C.
D.

Since these bounds are in terms of x and the integrand is without the variable y, it is easiest to express the triangle as simple.

Correct.
Incorrect.

 
Step 2

Question Sequence

Question 2

Consider the following figure.

State the inequalities of the vertically simple region defined by the triangle.

0 ≤ x

and

A.
B.
C.
D.

Set up the double integral with the triangle as vertically simple.

A.
B.
C.
D.

Correct.
Incorrect.

 
Step 3

Question Sequence

Question 3

Integrate.

A.
B.
C.
D.

A.
B.
C.
D.

Correct.
Incorrect.