x= Jy=X Show that | * (x+3y) dy dx = [ { « + 3) dx dy + m2 L); *+ 3ydr dy (x + 3y) dx dy + (x + 3y) dx dy Jy=1 Jx=y2
Calculus 3 Evaluate SOLVE NUMBER 30 Evaluate x2 dx dy (x + 4y3) dx dy x + 4y dx dy cos(2x + y) dy dx e-3x-4y dy dx
1. An iterated double integral that is equivalent to *** dx + ry dy JOR 3. Use Groen's Theorem to set up an iterated double integral equal to the line integral $+eva) dx +(2+ + cow y) dy where is the boundary of the region enclosed by the parabolas y rand 1 = y2 with positive orientation. This yields: A. where R is the triangular region with vertices (0,0),(1,0) and (0,1) is: A B. B. So ['(2-z) dr de SL...
Evalua la integralEvaluate the integal sech (x- dx 2 dx 2 ext2 dy 1 X+3 Evalua la integralEvaluate the integal sech (x- dx 2 dx 2 ext2 dy 1 X+3
Г% 1 3 ху dx| у?еаt dy
hind the derivative. y = 12x dy + 5x + 8x, find dx O A. dy = -24x dx - 3 + 15x2 OB. dy =- - 24x - 1 + 15x² + 8 dx O C. dy dx - 24x - 1 + 15x2 OD. dy dx -3 - - 24x + 15x2 + 8
(a) [1[*(2x*y + 4y2) dy dx (b) ["" ["(y cos(x) + 6) dy dx cos [**(buye* * *) ay ox (a) LiS.*r-* log(4) dy dx (-x log(y)) dy dx -Il
8. Interchange the order of integration and evaluate the integral So Size** dx dy.
1) Solve The Differential Equation: a) d3y ,d2y dy -y 0 dx dx3 3 3 b) dy 6 dx4 ,d2y 5 dx224 dy 36y 0 dx dx3
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a) x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)