Evaluate the line integral by the two following methods

Current Score : – / 0 Due : Wednesday, November 19 2014 04:00 PM CST

1. –/0 pointsSEssCalcET2 13.2.002.

Evaluate the line integral, where C is the given curve.

2. –/0 pointsSEssCalcET2 13.2.003.MI.SA.

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise Evaluate the line integral, where C is the given curve.

is the right half of the circle x2 + y2 = 25 oriented counterclockwise

3. –/0 pointsSEssCalcET2 13.2.007.

Evaluate the line integral, where C is the given curve.

C consists of line segments from (0, 0) to (5, 1) and from (5, 1)

to (6, 0)

Review Problems for Test #2 (Homework)

Rustom Hamouri Math 344, section 11795, Fall 2014 Instructor: Buma Fridman

WebAssign

xy ds, C: x = t2, y = 2t, 0 ≤ t ≤ 1

C

xy4 ds, C

C

(x + 5y) dx + x2 dy,

C

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4. –/0 pointsSEssCalcET2 13.2.010.

Evaluate the line integral, where C is the given curve.

is the line segment from

5. –/0 pointsSEssCalcET2 13.2.020.

Evaluate the line integral where C is given by the vector function r(t).

6. –/0 pointsSEssCalcET2 13.3.004.

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. If it is not, enter NONE.

f(x, y) = + K

xyz2 ds, C

C (−2, 6, 0) to (0, 7, 1)

F · dr,

C

F(x, y, z) = (x + y)i + (y − z)j + z3k

r(t) = t2 i + t3 j + t2 k, 0 ≤ t ≤ 1

F(x, y) = ex sin y i + ex cos y j

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7. –/0 pointsSEssCalcET2 13.3.005.

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. If it is not, enter NONE.

f(x, y) = + K