[]f(x,y)dydx + ]]f(x,y)dydx+] [F(x,yds 1-e e -3 1-x Iny In y A] [ Fx,y) dxdy B) ] [ F(x,y)dxdy c) [ 1-y e 1+y 4 coffre. f(x,y)dydx =? f(x,y)dxdy D) >][F(x,y)dxdy B) ] [F(x,y)dxdy E) -3 1+y

Q: Find fx, fy, fz. fx = + +2² f(x,y,z) = e¯ (4x²+2y² 12=7 Z

A: f(x,y,z)=e-(4x2+2y2+z2)we know (i)  ∂ ∂x(xn)=nxn-1(ii)  ∂ ∂x(constant)=0

Q: S (x, y)= I+x* + y? 1-x² - y? 2. Determine the points at which the function is continuous.

A:

Q: Let f(x, y) = x² + 5y². (a) Find f (5, 1) and f,(5, 1). fx(5, 1) fy(5, 1) =

A: Find

Q: Find fzyr. f(x, y, z) = x³y5₂6 + xy³ + yºz

A: Given: fx,y,z=x3y5z6+xy3+y6z We have to find fzyx For fzyx we first have to find the partial…

Q: 2. (3x +y)dx – (x+3y)dy = 0 2. y = 2 when x = 4

A:

Q: Evaluate where F(x, y) = x² i+(y² – x) j and C is the line segment from (2, 4) to (0, 4) followed by…

A:

Q: Consider the function - f(x, y) = 2x² + xy² − 6xy + 5x +2. (a) Show that (1,3) is a stationary point…

A:

Q: The function u(x, y) obeys, 8²u Ərəy = -2e

A:

Q: Let f (x, y) = Vy – 2x Evaluate f(3, 10)

A:

Q: Consider f(x, y) = (2x² + xy + 1, xy, x² + y²) and let c = (1,-1). Find Df(c) by definition.

A:

Q: 2 x' +y' x(y² –1) b. Find the points in R where f (x, y) = is continuous.

A: b. Consider the given function fx,y=x2+y2xy2-1. The above function is observed to be rational…

Q: f(x) = 2/1/2 and g(x)=3x+1, find the following: b) (gof)(x) 8. Let f(x)= a) (fog)(x) c) (fof)(x) d)…

A: according to bartleby guide line we do only first part of multiple questions given  f(x)=1x2  and…

Q: If f(x, y) = V + y3, find fy(0, 5).

A:

Q: let r (t) = The y component of r' (5)

A:

Q: Nap Lajoie has a lifetime batting average of 0.338. Assume that Nap Lajoie came to bat officially…

A: Given : Nap Lajoie has a lifetime batting average of 0.338 and came to bat officially six times…

Q: Does fx(x,y) when at (a,b), fy(x,y) has to be at (a,b) Explain why statement is true or explain why…

A: Let f(x, y) and its first and second derivatives are continuous at (a, b) and that, , then1) f has…

Q: Find and sketch the domain of the function f(x,y) = cosx + V3x-y+2

A: The given function is .The objective is to find the domain of the function and sketch the domain.

Q: For the function f(x,y) = 6 of find and 8x+3y' dx dy

A:

Q: If the given three vectors are coplanar, then find the value of x. A = i-2j + 3k, B = xj + 3k, C =…

A: A, B, C are coplanar.So

Q: Find fx and fy for f(x,y) = y In (x + 8y). || fy = y x+8y

A: Step 1: Step 2: Step 3: Step 4:

Q: Let f (x, y) = 2x³ + 4y³ + 19xy Find D = frx · fyy - fey at the point (2,2)

A:

Q: Consider f(x, y) = xy(²-x²) x² + y² 0 if (x, y) = (0,0) if (x, y) = (0,0) . Show that fay(0,0) = 1…

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Q: Find Joy²dx + (xy-x²) dy along C: y = 7x from (0,0) to (1, 7).

A:

Q: dy : Find if dx 3.x 2) x - y 4+ y x +y 4) xy² x - y

A:

Q: -2 In(x) Consider the function f(x, y) 3y

A:

Q: If z = f(x, y) and z4 – x² = x²y²z? əz Find: dx az and dz ie

A: