Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. f(x,y) = 4x* – 16xy + 2y? - 5 What are all the possible points? (Type an ordered pair. Use a comma to separate answers as needed.)

Q: What is the y-intercept for the cubic function: 4x3 – 3x2 + 7? O (0,7) O (7,0) O (0,4) O (0.3)

A: Given

Q: Let f(x, y)=√x² - y² Which of the following regions are in the domain of f? OA Ов Oc OD A C B

A: The given function .The objective is to find the regions that are the domain of the function.

Q: C 2. Evaluate: f4ydx + 5xdy along a straight line path from (0, 0) to (2, 4)

A:

Q: Pls help

A: For x intercept we have f(X)=0 i.e. x^3-7x-6=0 Or (x-3)(x+2)(x+1)=0 Solving for x we get  X=3,-2,-1

Q: Let y1 = 4x – 3 and y2 = 5x + 2. Find the point of intersection for the graphs of y, and y2. (х, у)…

A: Given: Equation of two lines as,y1=4x-3y2=5x+2

Q: Find ¹ (3x + 5y)dA where D = {(x, y) | x² + y² ≤ 16, x ≥ 0}

A:

Q: a) Determine the domain and range of the function: 1 f(x, y) Va² + y² – 1 b) Sketch the domain.

A:

Q: Determine and graph the domain of the function: f(x,y) = ev- + In(5x² + 7vZy² – v2) |

A:

Q: Find the interval(s) where the function y = x – 2x² – 7x + 2 is concave down. Justify your answer.

A: Find the double derivative of y and then equate it to zero.

Q: Given XZ with X(-4, 3) and Z(6, -2), find the coordinates of Y if Y divides XZ one-fifth of the way…

A: The given line XZ cuts in two-part, The ratio of these parts is XY : YZ = 1 : 4. So we use here…

Q: Exercise #3: Which of the following is a point where; (1) (0,7) (2) (-1,-1) (3) (-2,4) (4) (2,10) 7…

A: Please see the below picture for detailed solution.

Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: R(w) = + Vw+5. 3w – 2

A: Domain = ?

Q: Given the function f(x, y) = V10 – x + y, evaluate f(2, 1) and f(-9, –3).

A: Given: fx,y=10-x+y for finding value of f2,1, we put x=2,y=1 in given expression so,…