question2 1. Interchange the order of integration and evaluate the integral so Ix y dydx. 2....
question 2 1. Interchange the order of integration and evaluate the integral S" S" Siny dy dx. 2. Use Lagrange multipliers to find the points on the curve x'y = 16 nearest the origin. 2 Eindholm of
8. Interchange the order of integration and evaluate the integral So Size** dx dy.
Evaluate the integral making a change of order of integration. G sty dydx 119) 의 Evalúe la integral Jo ja tyy 1 dydx, haciendo un cambio de orden de integración. on(9) O NO ESTÁ LA RESPUESTA T O 3e9
Using polar coordinates, evaluate the integral so Som x(x2 + y²) dydx. Be careful to check that the limits of integration you use correspond to the region under consideration.
2. (a) Sketch the region of integration and evaluate the double integral: T/4 pcos y rsin y dxdy Jo (b) Consider the line integral 1 = ((3y2 + 2mº cos x){ + (6xy – 31sin y)ī) · dr where C is the curve connecting the points (-1/2, 7) and (T1, 7/2) in the cy-plane. i. Show that this line integral is independent of the path. ii. Find the potential function (2, y) and use this to find the value of...
3. (15 pts) Interchange the order of the following integration: Sc Lasan »dyds = [ {*512.)dedy. 4. (15 pts) Evaluate 5 L dydr. 5. (15 pts) Evaluate the double integral Sloved tunda, where D is the region between the circles of radii 1, respectively 2, centered at the origin (0,0). 6. (15 pts) Evaluate
2. Sketch the region of integration, and then evaluate the integral by first converting to polar coordinates. 1 V2-x2 (x + y)dydx
[7pts] Evaluate the iterated integral. 2 1 2(x + y) dydx 0 x2
problems count 7%. Do all problems. Show all your work. 1. Interchange the order of integration and evaluate the integral S" S" Siny dy dx.
Evaluate the LaTeX integral: \ int ^ 4_0 \ int ^ 2 _ {\ sqrt {x}} \ frac {1} {1 + y ^ 3} dydx∫ 0 4 ∫ x 2 1 1 + y 3 dydx, making a change of integration order Pregunta 5 15 pts Evalúe la integral So So I had dyda, haciendo un cambio de orden de integración. 1 o in(9) 3e9 V3 NO ESTÁ LA RESPUESTA