01:640:251 Lecture 7: 13.1 Multivariable Calculus

Assingment5: Problem 23 Previous Problem List Next (1 point) In evaluating a double integral over a region D, a sum of iterated integrals was obtained as follows: f(x, y) dxdy JJ D 3 -3y ,6 /, 18-3У f(x, y) dxdy + f(x, y) dxdy Jo Jo J3 J0 The region D can be written the form A Sx 3B, g(r) 3 y S h(x) with A- g(x)

consider 㠏 and Delo F(x, y) = 10xy 10x2yj C: r(t) = (t + sin( t), t + cos(tt), (a) Find a function f such that F = rx, y)- 0 t 1 10x (b) Use part (a) to evaluate ▽f. dr along the given curve C.