If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O (-1,2) O

Q: Suppose that f(x, y) = 6x²y² + 4x² + 4y² then find the discriminant of f.

A:

Q: b) Find and classify all the critical points of f(x, y) = 3x²y + y3 – 3x2 - 3y2 +5. %3D

A: The solution is given as

Q: 1. Find the linearization of the given function at the given point.

A:

Q: If f(r, v)= +y-2y, find fa (2, 1), f (2, 1), fay(2, 1) and fy(2, 1).

A: Given a function f(x,y)= x3+x2y3-2y2 Now, fxx= ∂2f∂x2=∂∂x∂f∂x fyy= ∂2f∂y2=∂∂y∂f∂y…

Q: A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

A:

Q: 2y4-6x3 +|1x=-37x-16 dx X3 - 3x2+5x-I5 2x

A:

Q: (H.W) 1) Draw the graph for the function Y = x and then find (Df) &(R). 2) Draw the graph for the…

A: we have to draw the graph and find the domain and range of the given function.  Domain-graph where…

Q: #9 Q. Given y= 4 (2)* determine the y-intercept (0, 4) Go to #1 (0, 2) Go to #8 (0, 0) Go to #5 (0,…

A:

Q: If f(z) = z² − (z)² + zz, calculate the following: a) u(x, y) and v (x, y) b) u(-10,-5) and…

A:

Q: R(s, t) = G(u(s, t), v(s, t)), where G, u, and vare differentiable, and the following applies. v(7,…

A: Given that

Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

A:

Q: How many saddle points does the function f(x, y) 116 – 18r 66y + 9x + 11y? have? Answer: (Input 0 if…

A: Given problem:- How many saddle points does the function f(x, y) =116 - 18x - 66y + 9x2 + 11y2 have?…

Q: If the function f(x, y) = x + y² + 2xy – 6x – 3y + 4 %3D has one saddle point (a, b), then 2b + a =…

A:

Q: 5. Write the equation of the linear function with the given properties (a) y-intercept of 3 and a…

A:

Q: A function is defined as f(x,y) = 25xy + 3x³ - 7x² sin(y) aj ay a2f (ii) Find and 1325 3²x (iii)…

A:

Q: F . dr, (c) Let f(x, y, z) = x³ + 2yª + 325 and F consists of three line segments from (1,0, 0) to…

A:

Q: 4. Examine if functions f(x)= x , f2 (x) = x², f;(x)=x² – 2x are linearly independent.

A:

Q: What is the sum of 7x*+2xy-5y and 2x+3xy+2y7 14x +6x3y2-10y 14x +6xy-10y 9x8+5x3y2-3y 9x*+5xy-3y3

A:

Q: Which of the following is a complete list of possible inflection points for F(x) = 3xe4x A. 2 1 4 1…

A:

Q: w+y+2z w+2x-y -3 2w+x+3y-2z ] = [X²] 6 x-2y -2 0

A:

Q: One of the following is not a critical point to the function fx, y) = 3x2 - 12x +y+- 2y2- 5. Select…

A: Given function is,       f(x,y)=3x2-12x+y4-2y2-5 We have to find critical points of above function.…

Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

A:

Q: Find C so that y(x)=C(1-x2) a.  y(2)=1 b.  y(1)=2

A: To find the value of C so that y(x)=C(1-x2)...(1) with the given initial conditions.

Q: What function should be used to minimize the distance between y = x + 5 and the point (3, 1)? O D(æ)…

A: Explanation of the solution is given below...

Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

A:

Q: Which of the following lines pass through the point (7, 5) and is perpendicular to the line X + 3y =…

A:

Q: 11. Find the zero of the following linear functions: (a) f(x) = x hint: don't overthink (b) f(x) =…

A: Solve for the zero of the function

Q: ху af If f(x,y) then is %3D x2+y ax

A: Given function,  fx,y=xyx2+y

Q: function

A: