calc_tutorial_16_2_015

 
Problem Statement

{2,3,4,5,6,7,8}
32*7
2*7
2*14
32*pow(7,2)
pow(28,2)
pow(7,2)
4+49
784+49

Compute for the curve specified.

f(x, y, z) = 2x2 + 224z, c(t) = (2et, 14t2, 7t), 0 ≤ t ≤ 1

 
Step 1

Question Sequence

Question 1

Recall how to compute a scalar line integral.

Let c(t) be a parametrization of a curve C for a ≤ t ≤ b. If f(x, y, z) and c'(t) are continuous, then the scalar line integral can be calculated as follows.

Thus we will need to calculate ||c'(t)||.

Find c'(t) and ||c'(t)||.

c'(t) =

A.
B.
C.
D.

||c'(t)|| =

A.
B.
C.
D.

Also, find f(c(t)).

f(c(t)) = f(2et, 14t2, 7t) =

A.
B.
C.
D.
Correct.
Incorrect.

 
Step 2

Question Sequence

Question 2

Evaluate the line integral using u-substitution.

A.
B.
C.
D.
Correct.
Incorrect.