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(d) Use the Integral Inequality to prove that sin (rx(In(x + 1) dx = 1 671 (2) - In(3) - ;) 4
1 23 sin(43) dy dx by reversing the order of Evaluate Jo JC2 integration (1 –cos(1) ]](1+cos(1) (1 – cos(1) *] (1 – cos(1) (1+cos(1)
Determine dy/dx for y=8x^3 sin^ −1x .
Solve the initial value problem (43 – 1)e*dx + 3yº (@+ 1)dy = 0, y(0) = 0 Preview
solve the following differential equations (e* + 2y)dx + (2x – sin y)dy = 0 xy' + y = y? (6xy + cos2x)dx +(9x?y? +e")dy = 0 +2ye * )dx = (w*e * -2rcos x) di
d2y d2y dy +6 da2 (h) +13y 2sin x +9y = 18x -+3 +6 dx da d2y (i) d2y (j d2 18x3 4y = 2 sin x dæ2 d2y ,dy .dy 9y 9x2 +21x - 10 dc (k) (1)2 7 + - 4y = e-4x +6 'da2 da2 d2y dy dy (m) 2 dæ2 (n) 4 7y= e 6 cos x 9y = 4e-3r dr2 dr dx d2y d2y (p*) dy + da2 dy (o* 2a COS I 2y 2...
Solve the initial value problem. (6+av+x]dx + (8yx? + sin y) dy = 0, y(t) == The solution is (Type an equation using x and y as the variables. Type an implicit solution. Type an exact answer in terms of t.)
(1 point) Find a particular solution to dy dy x2 + 4x + 2y =x' sin(x). dx in x > 0 ур (1 point) Find a particular solution to dy dy x2 + 4x + 2y =x' sin(x). dx in x > 0 ур
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) - (sin t, cos t, sin 2t), 0 s t s 27. (Hint: Observe that C lies on the surface z - 2xy.) F dr- 6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) -...