Reference no: EM133050795
Question 1: Evaluate the line integral, where C is the given curve.
∫c xdx + 2y√xdy, where C is the arc of the parabola x = -y2 + 1 from (1,0) to (0,1).
Question 2:
Sum from n=0 to inf (2^(2n+1)/3^(2n+1)) =
a. 8/15
b. 6/5
c. None
d. 2/3
e. Diverges
Question 3:
Find the curvature.
r(t) = 8ti + sin(t)j + 5 cos(t)k
k(t) = (No Response)
Question 4:
What is the rate of change of the perimeter when the length is 5 inches?
The length of a rectangle is being lengthened at the rate of 2 inches per second while the width is shortened in such a way that the figure remains a rectangle with a constant area of SO square inches. What is the rate of change of the perimeter when the length is 5 inches?

a. -4 in/sec
b. 8 in/sec
c. 4 in/sec
d. -8 in/sec
Question 5:
Sumi Kato's savings account has a balance of $1,568. After 6 years what will the amount of interest be at 5.5% compounded annually? Round to the nearest cent.
Select one:
$2162.025
$594.025
$583.277
$940.805
Question 6:
Consider the function f(x) = 4x3 - 6x on the interval [ - 4, 4]. Find the average or mean slope of the function on this interval.
By the Mean Value Theorem, we know there exists at least one c in the open interval ( - 4, 4) such that f ' (c) is equal to this mean slope.
For this problem, there are two values of c that work.
The smaller one is
and the larger one is
Question 7:
It must be stated and shown if the series converges or diverges.
n=5∑∞ (-0.99)n+1
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