Let C be the curve represented by the equationsx = 2t, y = t2 (0 t 1)In each part

Chapter 15, Problem 11

(choose chapter or problem)

Let \(C\) be the curve represented by the equations

\(x=2 t, \ \ \ \ \quad y=t^{2} \ \ \ \ \quad (0 \leq t \leq 1)\)

In each part, evaluate the line integral along \(C\).

(a) \(\int_{C}(x-\sqrt{y}) \ d s\)

(b) \(\int_{C}(x-\sqrt{y}) \ d x\)

(c) \(\int_{C}(x-\sqrt{y}) \ d y\)

Equation Transcription:

C

x = 2t, y = t2 (0  t  1)

Text Transcription:

C

x = 2t, y = t^2 (0 leq t leq 1)

integral_c (x-sqrt y) ds

integral_c (x-sqrt y) dx

integral_c (x-sqrt y) dy