The absolute maximum value of the function f(x,y)=xy-2x+2 on the triangular region with vertices (0,0), (4,0), and (0,4) is O a. 8 O b. 1 Ос. 9 O d. 4 О е. 5 Of. 7 g. 3 O h. 2

Q: The intersections with the abscissa axis of the image function are: f (x) = x2 + 10x + 21

A:

Q: Example: Calculate the value of (@w/0x) at the point (x, y, z) = (2, -1,1) if:- w = x2 + y2 + z? z3…

A:

Q: Find the best-fit quadratic function f(t) = co+ c¡t + czť² to the data points (0, 7), (1, 6), (2,…

A:

Q: Find the constants m and b in the linear function y = f(x)= mx + b, such that f(1) = -2 and f(3) =…

A:

Q: Use Lagrange multiplier to find the maximum or minimum value of the funetion f(x, y) = 49 – x2 -y?…

A:

Q: n F(x, y) = x² + 2y. A

A:

Q: ?w Əv у Find when u = 0, v=0 if w=x² + ₁ x=6u-2v + 1₁ y=u+4v - 1.

A:

Q: (b+ f) M + (c+r)m (d+ g) M + (e+ s) m (b+ f) m+ (c+r) M (d + g) m + (e + s) M M (1 – a) = and m(1-…

A:

Q: Find the minimum of Q = x2 + y2 if x + y = 6.

A: To find the minimum of Q=x2+y2,if x+y=6. Solution: given, x+y=6⇒y=6-x   ...(1)⇒Q=x2+y2⇒Q=x2+(6-x)2…

Q: = Use the graph and the given equations, f(x) = 5x² (red) and f(x) = to support your response to the…

A: We have to use integral to find area bounded between curves or line .

Q: Q1 Find thr relative maximum and minimum of: fx, y) = x² + y² + z?given that 9x? + 4 y² + 2z? = 36…

A: Consider the provided question,  minimize and maximize, fx,y,z=x2+y2+z2                        ....1…

Q: Find the minimum of the function f(x, y) = 4x² + 4y² subject to the constraint z + y – 3 = 0. O f…

A:

Q: The range of y = v16 – x² is А. [4, со) В. (4, оо) C. [-4,4] D. [0,4] Е. (0,4)

A:

Q: Suppose you are ciimbOing a hiii wnose shape is given by z = 1000 – 0.005x² – 0.01y², where x, y,…

A:

Q: Use Lagrange multipliers to find three pos- itive numbers whose sum is 174 and whose product is a…

A: Solve the following

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: e*, e2x, e3x А. О В. 2ебх С. 12е бх 6x D. 48eбx

A:

Q: Find the maximum value attained by the function x² + xy + y² on the set {(x, y) : x² + y² < 2}.

A:

Q: Suppose a firm's technology is represented by the production function f(L, K) = min(L, 2K), where L…

A: As we know that all isoquant curves are strictly negative sloped hence, if one of the point is (4,…

Q: In the figure, find the value of c in the interval [0, 4] on the x-axis that maximizes angle

A: Redraw the figure as shown below.

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: By using the Lagrange multiplier, find the three positive number, x, y, and z whose sum is h and…

A: Here, you have to maximize the function x4y8z7, subject to the condition that x+y+z=h⋯⋯1. In order…

Q: 5) The equations r² + y²s + yt² - 13 and y² + x²s + rt² = 9 define s and t as implicit Əs functions…

A:

Q: `y = f(x) 1- 1 he graph of the linear function f is shown in th- -plane above. The slope of the…

A:

Q: Minimize Z= P1 dl+ + P1 dl-+ P1 đ2+ + P1 đ2- + P1 đ3+ + P1 đ3- Subject to: 4 X1 +3 X2 + 5 X3+ dl- -…

A:

Q: 3. Use the implicit function theorem to find Əz əx and a given əz dy In(x³y – 2z²) + 2z) + xe 4 = 2²…

A:

Q: f (x, y) = x² – 2xy + 2y² A = {(x, y) E R²| |r|+ |y| < 1}.

A: fx,y=x2-2xy+2y2The region A=x,y∈ℝ| x+y≤1

Q: Find the parabola that gives the best least squares approximati (-1,-1), (0, 1), (1,0), (2, 4).

A: