Given f(u, v), where u = x² y, v = xy? If at the point (2,3), f, = 4, fm = 3, fm = 5, ƒ, = 1, fm =6. Find fm at p(2,3)

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: If f(x,y,z)=x²y³-y²z³ Then f;= -3y²z2 Jlgn

A:

Q: Differentiate. x3 7) y = X- 1

A: Given : y = x3x-1

Q: az/ Find az/əx and of the function: dy r* z2 – 5xy z = x² + y³

A: Given: x3z2-5xy5z=x2+y3 To Find: ∂z∂x=?∂z∂y=?

Q: If f(x, y): X 2y + 1 use the definition to find af (x, y) ду

A:

Q: 2 Z= 22,

A: Given  z=2x12+x1x2+4x22+x1x3+x32+2

Q: & lve by line x=+I and line y I

A: The integration of [(x2+xy)dx + (x2+y2)dy].

Q: дz If z = f (x, y), find and for the following equation ду дz дх

A:

Q: The slope of a curve at (1, 9) is 6. Determine the equation of the curve when y" = 2. O z + 6z +5…

A:

Q: Find Duf at P. f(x, y, z) = 6x³y³z³; P(2, — 2, 2); u = Duf = i + - 2|3 k

A:

Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: Point X is equidistant from F and T. Furthermore, point Y is equidistantfrom F and T. Does that mean…

A: To check: Whether the point X and Y are equally distance from F. Given: The point X is equidistance…

Q: + y = 2. What is y" at the point (1, 1)? y ² Suppose that x +

A:

Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0<x<2 , 3<y<5

Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =

A:

Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

A:

Q: A 4,-1) B(4,-2) find lime x approachesto1 from postve dinection.

A:

Q: 12) y- 3x+ 2x

A: We know that ddxxn = n·xn-1

Q: If z varies direct to the square of y and y varies inverse to x (x,y,x) = (20,120,100) Then find the…

A: z varies directly to the square of y, so z=my2 y varies inversely to x, so, y=nx Therefore,…