Find the absolute maximum and minimum values of f(x, y) = y² + x² - 2x + 4 on the set D where D is the closed triangular region with vertices (4,0), (0, 3), and (0, -3). Part 1: Critical Points The critical points of fare: Part 2: Boundary Work Σ The boundary of the triangle can be expressed in 3 lines. Although you need to do calculations over all of the boundaries you will only submit your results for one of them. Find a linear equation for the side of the boundary of the region D between (4,0) and (0, 3). Σ 1or x € [0, 4] Along this side, f can be expressed as a function of one variable g(x) = f(x, Σ List all the points on this side of the boundary which could potentially be the absolute minimum or maximum on D. Σ y =

Q: The integer n = 12700140x3243243 is missing the digit x. a) If n congruent to  3 (mod 9), then what…

A: According to the given information, Consider the given integer n:

Q: ALGEBRA In AJLP, M2JMP = 3x – 6, JK = 3y – 2, and LK = 5y – 8. 34 TE an 35. Find LK if PK is a…

A: The solution of the problem is given in the next step.

Q: Consider a parallelogram containing vertices at the following points: (2, 1,3), (3, 4, 5), and…

A:

Q: b) Evaluate S(2y + 4z)dx + (2æ + 3z)dy + (4x + 3y)dz, where C is the curve given by r(t) = for 0 <t…

A: given ∫C2y+4zdx+2x+3zdy+4x+3ydz where C is the curve given by rt=t3,2sinπt2,3cosπt2 for 0≤t≤1…

Q: 5. A rectangle is bounded by the x- and y-axes and the graph of y = -x + 6. *+6. a) Find the area of…

A: In the given figure, a rectangle is bounded by x-axis, y-axis and the graph of y = -(2/3)x + 6. We…

Q: Find the maximum and minimum value of the function and the inflection point of the given curve…

A: Given :

Q: The X- coordinate of a point P is twice it's y-coordiante ,If P is equidistance from Q(2,-5)…

A: To find the coordinate of P

Q: Find the critical points, domain endpoints, and 6 -4х. XS1 y = 4x - 2, x>1 Xs1

A: The graph of

Q: Find the minimum value of y from the following table :

A:

Q: Write a program for graphing a region R in the first quadrant of the x y -plane determined by linear…

A:

Q: Find the minimum value of w = x² + y² + z² subject to the constraint x + y + z = 18. W =

A: We have to find the minimum value of w=x2+y2+z2 subject to the constraint x+y+z=18.

Q: y (x-5)2 2. 9. (y-2)2 =D1 %3D 25 Center: x Major Axis || to: Length of Major Axis: Minor Axis:

A:

Q: Find the minimum value of f(x,y.z) = x? +y² +z? subject to 6x + 2y – 4z = - 56. The value of f at…

A:

Q: Miguel plotted five different points on a coordinate planc. Point Coordinate Point V (5,1) (5, -4)…

A: Given Data: The table given in the problem represents the coordinates of points on the plane. Point…

Q: How do I find the water surface elevation of a inverse truncated rectangular pyramid detention pond…

A: To find the water surface elevation of an inverse truncated rectangular pyramid detention pond when…

Q: Sketch the region that corresponds to the given inequalities. 2x  +  4y  ≥  4 2x  −  4y  ≤  4 x…

A: 2x  +  4y  ≥  4 2x  −  4y  ≤  4 x      ≥  0 Find out the set of values for equation first not…

Q: 2. (a) {(x, y) | y = Vx + 1} (b) {(x, y) | y = Vx² - 1} (c) {(x, y) | y = VI – x} (d) {(x, y) | x² +…

A: If a line parallel to y-axis cuts the graph of the function at most once, then it is a function…

Q: The following figure shows the graphical solution of the next LP problem: Max Z = 3 x1 + 9x2 s.t X1…

A:

Q: 4. (a) {(x, y)|y = (x – 1)² + 2} (b) {(x. y) | x = (y – 2) + 1} (c) {(x, y) | y = (r + 2)' - 1} (d)…

A: (a) Given that x,y:y=x-12+2 The function f(x)=(x-1)2+2. The domain for the function is (-∞,∞). (b)…

Q: extreme values of the function subject to the given constraint. f (x, y, z) = x² + y² + z²; x² + y²…

A: