Show that the directiona f(x, y, z) = z²x + y ² at ( X (1/15" + ) ; 255. them

Q: Where is the function y=(x−5) 3 concave down?

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Q: Find x so the distance between (x, 3) and (4, 7) is 2/5.

A: Answer

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: 2y)j + x the point

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Q: I what interval is y = 3x5 - 5x³ y=3x55x3 concave downward?

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Q: Calculate fx (1, 3) and fy (1, 3) for f (x, y) = √(7x + y^2).

A: For a function of two variables, partial derivative with respect to one variable is calculated by…

Q: Find f, (2,0) if f(x,y) = 18x e Y. 1,(2.0) = %3D

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Q: F=(x-y², x²•y +3) at A-(1, 1), B=(2, –1) and C=(0,-2). %3D

A: The divergence of a vector field F = <P,Q> is defined as the partial derivative of P with…

Q: Find and sketch the domain of z = f(x, y) = In(9 - x - y²).

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Q: Evaluate F.dr where F(x, v)=xyi (4, 0).

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Q: 3. Which function has a range of yS 3? Ax) -- +3 с. a.

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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: Verify that ƒxy = ƒyx, for ƒ(x, y) = xey.

A: Given function is fx,y=xey We have to verify fxy=fyx Solution: fxy means that first we find partial…

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

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Q: Eliminate the arbitrary constants y Iny = C,e "+ C, X-

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

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

Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

A:

Q: find the derivative of (2³ + j)² O 23 +j O 223 + j O 625 + j6z² O 325 + j3z?

A: Derivative of (z3+j)2 is 2(z3+j)2-1(3z2+0) = 2(z3+j)×3z2 = 6z2(z3+j) = 6z5+j6z2

Q: Find an analytic function (or functions) if 2 Ref(z) = x²= y² + 2x and fli) = 2i - 1

A: f(z)=z2+2zExplanation:Thank you?

Q: Find all functions from X = {a,b} to Y = {p,r,t}.

A: Given :- To find all functions from X = a,b to Y= p,r,t.

Q: fex)= J4-x +2

A: The function is given by f(x) = 4-x + 2 To evaluate : The graph of the function f(x)

Q: For the given function 6=x²yz C=3x²yi+yz²j-xzk and Find 82 Sysz (c) at point (1, -2, -1).

A:

Q: Wallis is seated on the line tangent to y=4-3x-x2 at the point (2, -6).

A: wallis is seated on the line  tangent to curve   y=4-3x-x2   at point 2,-6

Q: Suppose that Y = Z - X is independent of Z and of X. Show that Y is a constant.

A: Given that Y=Z-X. To show: Y is a constant function.

Q: Let P(x, y) be a point on the graph of y =√x. Express the distance, d, from P to (1, 0) as a…

A: Given that :  P(x,y) be any point on the graph of y=xDistance between…

Q: Consider the function y -62 Which of the following statements is true for y? = ze Oy" = 36y…

A: Given,