Consider g(x) = - 5x²y³ 3x4 + 7y6¹ 0. " if (x, y) = (0,0) if (x, y) = (0,0)

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: ý = -9y + 4t + 3

A:

Q: (x, y, z) = 2x²y — xz² + 3y²z. Xyx

A:

Q: Consider g(x) = -5x²y³ 3x4 + 7y6¹ 0. " if (x, y) = (0,0) if (x, y) = (0,0)

A: If the limit of the function exists then it must be unique. To determine the limit of a two-variable…

Q: 4X--X y = -x + 2y Stability with draw

A: x˙=-xy˙=-x+2y

Q: By Lagrange's formula, prove that y =y3-0-3(ys-y- 3) + 0-2 (y_ 3 -y_5).

A:

Q: The amount of medicine m in the blood during a four-hour treatment is given as me²t = 3t. Determine…

A: The amount of medicine m in the blood during a four hour treatment is given as

Q: 10. Find the length of the curve y = x/2 + 8 on the interval [0, 2]

A:

Q: solve for the point on the graph y=√3x+ 2 that is closest to (3,0). What is the minimal distance…

A:

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

A:

Q: x=y y = -x-X² Stability with draw

A: x˙=yy˙=-x-x3

Q: Q1- Find the maximum vate of change of Rexy) t -ツ fcxy) = Xe fCxg) = Xe at the point (e,o) %3D

A: Given problem:- Find the maximum rate of Change f(x, y) = xe-y at point (2,0)

Q: дz дz \f z = f (x, y), find and for the following equation ?х ду z = (x2 + xy3)4

A: Let Using the chain rule, and

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

A:

Q: Graph and shade the domain of f(x, y) = vy + x² – 2.

A:

Q: Consider the difference equation = Xn+1 Xn+bsin(2xn). Determine any fixed points of this difference…

A: Given difference equation isxn+1​=xn​+bsin(2πxn​) -----------------(I)Step 1: First, we find the…

Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 5x² + 4y² = 60 Maximum…

A:

Q: The temperature at a point (x, y) on a rectangular metal plate is given by T(x, y) = 100 - 2x2 - y2.…

A: Given: T(x,y) = 100-2x2 -y2We have to find the path a heat-seeking particle will take, starting at…

Q: Q1: If w-f(z)=z'-z²+2z+2 find u and y and calculate the value of f at z-1-21. V.

A:

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

A:

Q: 7. Find and classify all stationary points of the function f(r, y) = 1 +y? - 12r + 6y-3

A:

Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

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

A:

Q: the doi n ain of the functions

A: We have given two functions : f(x,y)=1xy…

Q: Q/ Let X be the r.v such that E(X) = 2, E(X²)= 2a , E((2+aX)²) = 2a3 Find the value of a. %3D %3D

A: Let X be the random variable such that, E(X)=2, E(X2)=2a, E((2+aX)2)=2a3

Q: Given that Z = 6x4y+3x³y2 find Zx at the point (2,6)

A:

Q: Find those constants a, b, c, d such that f(z) = ax² + bxy + y² + i(x² + cxy + dy?)

A: The given function is : fz=ax2+bxy+y2+i(x2+cxy+dy2)