Question

Given that F = 2xy³i + 3x²y²j is conservative with potential function f = x²y³ + C evaluate \int_{(2,1)}^{(1,3)} 2xy³dx + 3x²y²dy. (a) 46 (b) 23 (c) 19 (d) 5 (e) 1 Problem 2 Find the divF if F = (x/y)i - (y/x)j. Problem 3 Use Green's Theorem to complete the integral statement appearing beneath to express the counterclockwise circulation of F = 3yi + 2xj around C as a double integral. Simplify the integrand. $\oint_c 3ydx + 2xdy = \iint_R ( )dA$

          Given that F = 2xy³i + 3x²y²j is conservative with potential function f = x²y³ + C evaluate \int_{(2,1)}^{(1,3)} 2xy³dx + 3x²y²dy.
(a) 46
(b) 23
(c) 19
(d) 5
(e) 1
Problem 2
Find the divF if F = (x/y)i - (y/x)j.
Problem 3
Use Green's Theorem to complete the integral statement appearing beneath to express the counterclockwise
circulation of F = 3yi + 2xj around C as a double integral. Simplify the integrand.
$\oint_c 3ydx + 2xdy = \iint_R ( )dA$

Given that F = 2xy³i + 3x²y²j is conservative with potential function f = x²y³ + C evaluate ∫(2,1)^(1,3) 2xy³dx + 3x²y²dy.
(a) 46
(b) 23
(c) 19
(d) 5
(e) 1
Problem 2
Find the divF if F = (x/y)i - (y/x)j.
Problem 3
Use Green's Theorem to complete the integral statement appearing beneath to express the counterclockwise
circulation of F = 3yi + 2xj around C as a double integral. Simplify the integrand.
3ydx + 2xdy = ( )dA

Added by Xavier H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Thanks for your feedback!

Given that F=2xyi+3yj is conservative with potential function f=xy+C, evaluate âˆ«(0.32xydx+3xydy) from (a46, b23) to (c19, a3) and (e1). Problem 2: Find the divergence of F if F=x/yi-y/xj. Problem 3: Use Green's Theorem to complete the integral statement appearing beneath to express the counterclockwise circulation of F=3yi+2xj around C as a double integral. Simplify the integrand. âˆ®(3ydx+2xdy) = âˆ¬Sf dA.