Change the order of integration. [[W=v² y² dx dy '0 O • [₁ [√² = 1 v² dx dy = [²√°. Vy [[= y ² dx dy = [[₁2² dy dx -√y + 1 √y + [° [= Vy x² dx dy y² dx dy = [²√₁ y² dx dy A.₁. -L.C². y² dx dy = x² dx dy 1 + x² O off [₁[/= y ² dx dy = [₁] ² √² dx dy -x2 Evaluate the integral.

Q: 2) Given that and y = find dy dx d'y d'y d'y and dx? dx' dx4

A: It is given that x=t3+t and y=32t4+t2. We have to find dydx, d2ydx2, d3ydx3 and d4ydx4. Using chain…

Q: Find dy/dx: 4x²-3 y = Vx2–1

A: The given function is, y=4x2-3x2-1 To find the expression for dydxwe need to use to division rule of…

Q: Vx6+7 (etan**) dy where ylny) = dx B) find (x2/3)( y v) sec

A:

Q: (Blank 1): Let y = f(x, z) = 2x + 3xz² – z and z = 2 + x. Find | dy evaluated at x=2. dx

A:

Q: Find dy/dx in terms of x and y if x²y – x – 4y – 9 = 0. dy dx

A: Here we will use the product rule for derivative d(uv)=u.d(v)+d(u).v

Q: Let a > 0 and y(t) = (a(t sint), a(1-cost)), 0≤ t ≤ 2π. Calculate Le (2a − y) dx + x dy.

A:

Q: at (x, y) = (1, 2) and z? = x2 + y² if dt dx = 4 and dt dy = 3. dt dz %3D %3D Find dz dt II

A:

Q: Reverse the order of integration for S. LL²³ dx dy ex²

A:

Q: dy / dx i

A:

Q: Find dy/dx and d2y/dx2 of x= t + 1/t, y= t + 1

A:

Q: If z= t(x,y), where X = rCOse and y= rsine, %3D Show that 12 dz 12 dz dz dr dz del + dx

A:

Q: Find dy if y = (1 – æ*) * dx

A: The function is given by y =1-x314 To evaluate : The expression

Q: Find dy if x=t+6f and y= dx 2 5 at t=1 +

A: We have to find dy/dx

Q: (1 + y²) dx + (x²y + y) dy = 0.

A:

Q: Find the following for z = f(x, y) = x? +5x2y3-y. az %3D ax

A: FOLLOW NEXT STEP

Q: /2x+1 dx i fx(x* +1)' dx

A:

Q: Exercise : xdy -y dx = xye dx.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: factor

A:

Q: Determine the antiderivatives of the following functions: 1. S(x+ 1)100dx 2. S(x²+x)1º(2x + 1)dx 3.…

A: Topic:- application of integration Note:-  as per our guideline if more than three subparts posted…

Q: find the integrating factor (xy2-y)dx + (x2y-3x)dy = 0

A: find the integrating factor (xy2-y)dx + (x2y-3x)dy = 0

Q: Find dy/dx

A: Given: y=∫0sin x  dt1-t2, x<π2 To determine: dydx

Q: ,2 4 +(dx dt 2 dt ....

A:

Q: 4a 2vax Change the order of integration and evaluate " La xy dy dx 4a 4ax

A:

Q: JS xy dA R: rectangle with vertices (0, 0), (0, 3), (5, 3), (5,0) 166xx 16 xy dx dy = xy dy dx =

A: The solution is given as