af af af Find and 1, ax' əy' az f(x, у, z) %3D 17хyz

Q: rsin z Find dr V2+t+t) dt.

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Q: d sec (z) = dz sec(z) tan(z) sec? (z) o tan(z) tan (z)

A: We can find the derivative of the function by following the rules of differentiation and this…

Q: 2 y

A: According our guidelines i solve only first question.For second solution please resubmit again…

Q: Compute div F, where F(x, y, z) = (x² + 3y, y? – 4z, sin r cos y – 22). A. (4 – sin r sin y, – cos r…

A: Given : F(x, y, z)=(x²  + 3y ,  y² -4z ,  sin(x )cos(y) - z2 )  Now we find div F = ?

Q: Evaluate |[[p(4z + 3y² + 2x)dV = {(x, y, z) | 0<x < 2,0 sys 2, 0 s z < 1} .

A: We have to evaluate the triple integral given below: ∭B4z3+3y2+2xdV  Here, the region B in three…

Q: Dear Sir,   Please can you slove this equation. Partial derivative.

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Q: 4. para t> 0, 0 <x < 2 u(0,t) = u(2,t) = 0 u(x,0) = x (2 – x), ди (x,0) = 0

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Q: t (s? + t) ds – s (s² – (s² – t²) dt = 0 %3D - 242 In Let|

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Q: = Lasin(t") dt y%3D

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Q: 2- Linear edluan 1 - y' +スリ= 2é 2- x y'ony-ax? %3D 3. (x-2) y`+y. x 4 4-(49-3x)dX+5X dy = - 5_ dy dx…

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Q: iv) if zy = (x)- then zx + Zy = %3D %3D

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Q: ( w"-y+ (x+ ¥)'y = In (금 + z) y(-}) = 1, y' (-}) = o %3D

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Q: azz 2. A. If z = sin(3x+2y) , verify that 2 - 3 a2z = -6z ay2 B. If f = x³y³ + 2xcosy + y² lnx then…

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Q: 37. ( sen z + cos z cos z | (tag z + 1) dz = In sec x + z + C %3D (sen y dy cos' y 38. tag y sec y…

A: We know that ,  sen (y)  /  cos (y ) = tag y  And  1 / cos ( y ) = sec ( y )

Q: 12. Evaluate (2+ r+3|) dx by interpreting it in terms of areas. Y-3+ 1-4 +3 %3D 2. a dy X dr t 3 dk…

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Q: rsin z O Find V2 +t+t2) dt.

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Q: а. Иух — их + uy — и — 0 Uyx Их + иу — и — 0 и 3D

A: Solution a: Given partial differential equation is uyx-ux+uy-u=0 Let ux=D, uy=D'…

Q: uxx+uyy=0; u1(x,y)=cos x cosh y, u2(x,y)=ln(x2+y2)

A: Given:

Q: 2 Solue Bor メ= o-5 dx = y X (6) = 0 dt dy =_X yo) =I %3D

A: As per bartebly Guideline we can solve only one question.. Hope you understand

Q: find ow/ar if w = (x + y + z)², ar www w x = r – s, y = cos(r + s), z = sin(r + s) at the point (r,…

A: See the attachment

Q: Two functions u and v of x and y are said to satisfy the Cauchy- Riemann equations if u, = v, and u,…

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Q: dt dx2 dy , ди u(0, у, 1) dx (1, y, t) = 0, и(х, 0, г) %3D ди - (х, 1, г) %3D 0, dx и(х, у, 0) %3D 2…

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Q: 1-CAL182 y =Vx+4 29- y=x-2 SVx+4dx + [(Jx +4- (x – 2))dx → a = ?,6 = 2,c = ?,d = ? area = A) a- 4,…

A: Break the function into interval and find value of limit for each interval.

Q: find fsub(x), fsub(y), and fsub(z): f(x,y,z)=e^yz+sinx)

A: Given,          fx,y,z=eyz+sinx

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = ln (x + 2y + 3z)

A: Given, ƒ(x, y, z) = ln (x + 2y + 3z)

Q: azu azu (a) Verify that u satisfies ax2 = = 0 , if u = e* sin y. ay?

A: NOTE:Kindly repost the other question as a separate question.

Q: (x, y, z) = VI - xVE – y. (x, y) In(1-x) In(z+y). (х, у). (x, y) = D. (x, y) = VT – x + y². /1 - x +…

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Q: Dete‎rmine if f (x, y) = ={(xsi‎n3y)/(x‎2+y6), (x, ‎y) ≠ (0, ‎0) ={1, (x, y) = (0, 0) is‎…

A: Solution: A graph for a function that's smooth without any holes, jumps, or asymptotes is called…

Q: Let f(x, y) = xcosy - ye*y. fry at (1,0)is equal to: -1

A: See the attachment

Q: dx, (1) – -2x,(1) + 0.lx, (1)x,(1) + u() dt dx.(1) =-x,(1)– 2x,(1)(x; (1) di y(1) = x, (1) +…

A: Consider the following non linear space model given by:…

Q: a) a fonction f (xy) is homogeneous of degree 7 in X and y it and only it

A: As per bartleby guidelines we only give first question answers.

Q: 26. y = sinh x, y= e, x = 0, x= 2 27. y = Vx, y =;x, x= 9 28. y =x, y = 2.x², x + y = 3, x>0 II

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Q: Find fa, fy, and fz. f (x, y, z) = z In(xʻy° cos(52)) 4,3 COS x*Y fn = fy = fz =

A: Please refer the attached image for complete solution.

Q: First order linear in (y-x+xycotx)dx+xdy=0

A: The given problem is to find the solution for the given first order linear differential equation.…

Q: 2л where a, b > 0. dx = - ile* + b Prove that %3D

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Q: 2) Find Ow/ôu and ôw/ôv for w= xy+ yz+ xz, x=u+v, y =u –v, z = uv at the point (u, v)= (1/2,1). 3…

A: If w=f(x,y,z) and x=g(u,v) ; y=h(u,v) and z=t(u,v) then, ∂w∂u =∂w∂x.∂x∂u+∂w∂y.∂y∂u+∂w∂z∂z∂u  and…

Q: %3D MUTM az əz +y= əz X- dv ay TTM UTN

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Q: Find ∂U/∂T and ∂T/∂U when ((TU −V )^2)ln(W−UV) = ln(2) at the point (T,U,V,W) = (1,1,2,4).

A: Given that: TU-V2 ln W-UV=ln 2  We have to find ∂U∂T and ∂T∂U at the point T, U, V, W=1, 1, 2, 4

Q: 12. Express ſ S S Vxyz(1 – x – y– z) dx dy dz in terms of u, v,w given that x + y +z = u, y+z = uv…

A: Express the Mathematical expression for Jacobian transformation of x=x(u,v,w),y=y(u,v,w) and…

Q: Zニ0x+97 6X +2y Z 30 MOX vaiue is Z = at

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Q: minimize u? (t) dt subject to х(() — x(1) + и(1), х(0) — 1, x (1) — о. %3D

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Q: finde general Sonotion 1- y' = See'y 2X-1 %3D 2- 3-Xy=Y+2x $ in?

A: This question can be solved by applying the concept of differential equation.

Q: F(x, y, z) = xyzi+ (2ry+2) j+y°z°k conservative?

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Q: xy*-dy = (a* lIn a – y (а* In a - y %3D

A: we have to find the differential of ax=y

Q: find the local extrema with (binding) g = 0.

A: To determine the extrema of the function f(x, y, z) subjected to the constraints g(x,y,z)=0 Write…

Q: Qz: IF U=h cx,g )= Lnce+ ě).show that %3D Sy

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Q: 1. Evaluate a dV where E = {(x, y, 2) E R³ | 0 < z < x + y,0<x < y?,0 < y< 1}.

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Q: (a) Show that y = x* is concave upwards at the origin and y= e* is everywhere concave upwards.

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.