Whch of the futowing tunction is a iner tunctiont Sx)- V3x -4 S(x) = x +5 O oton O outen f(x) = 2x +5 6x – 8 S(x) = x+3 O opon Optona

Q: aximum v al [1, 5] is

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Q: Consider (r, y, z) = x² + y? + z² + 2xyz. Show that (0,0, 0) and (-1, 1, 1) %3D are both critical…

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Q: 3. Let f(r, y) = y²x – yx² + xy. Find all critical points of f.

A: We have to determine critical points of f

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: 25+x + . Step 4 To find the least time differentiate T(x) with respect to x, T'(x)=- 3(2/25+x)…

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Q: 3. Let f(r, y)- e (a) Verify that (0, 0) is a critical point. (b) Is this critical point a local…

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Q: a. I b. | function f(x, y) = y² − x² + - the critical points of the function f(x, y) = y² − x² + -…

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Q: Find L(x). 2y x 3t %3D y + a' = 3e-t x (0) = y (0) = 0 3s2 L (x) = - (s+1)(s-2)(s²+1) 3(s-1) L (x) =…

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Q: Find the critical points of the function f(x, y) = y² − x² + - a. [ b. I function f(x, y) = Find the…

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Q: a Find all critical points of z = (y- 3)(z+ 2y+ 7), = (y+z). Show work.

A: We have to find the critical points of the given equations. For the critical points find the…

Q: Notice that and 2-678-67] (usar][a]) 07] ([307][2]) = = [1.1 -0.1] [R₁ [1.1 -0.1] [1.1 -0.1 [Ro A5…

A: Using the given power matrix and using induction

Q: 21. Find div(F), where F(x, y, z) = xyzªi+x²zªj +4x²yz³k. a) -4xyz³+xz4 b) x²y+xz4 c) yz + 3x²yz² d)…

A: Topic = Algebra Correct option = d

Q: Let f(x) = x? (6 – x)3 (a) Find all critical point of f(x). (b) Classify each critical point as a…

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Q: f (x,y) = 2x^3 + y^2 - 9x^2 - 4y + 12x +1028. Find all critical points of f. For each critical…

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Q: 1. Do as directed. Show all necessary solution clearly. a. Find the three positive numbers whose sum…

A: Given

Q: In parabolic PDES, to apply the difference method to find the solution of a function T(x,t), we…

A: We have the parabolic partial differential equation system represented by the following diagram, We…

Q: 2. A firm total cost is given while producing two goods: X and Y TC= 6X² + 12Y² + 10XY Where firm…

A: We will use the Lagrangian multiplier method to optimize the given function subjected to the…

Q: Maximize z= 4x +3y エ+5y S 25 4x + y < 24 Subject to Maximum is Preview at Preview Preview VI VI ALAI…

A: Draw the given constraints to find the feasible area.

Q: 2. Find the critical points and classify them as local maxima, local minima, saddle points, or none…

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h-0.1, approximate y '(1.3).…

A: option c is correct i.e. (c) -1.92711

Q: (1) Find the critical points and classify them as local maxima, local minima, saddle points, or none…

A: rt-s^2&gt;0 and r&gt;0 implies point of minima                         r&lt;0 implies point of…

Q: 6. Find all critical points of f(x,y) = 2yt + x2 – 6xy and classify each critical point as a local…

A: Answer

Q: (a) Starting from the initial trial solution (x1, x2) = (0, 0), apply the gradient search procedure…

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Q: Minimize z 5.97x1+4.5x2+ 4.41x3 (hundreds of dollars) s.t: 7x1+?x2+?x3 > 140 (production capacity:…

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Q: Find all critical points: z=x³ – x-y +y –-1. Critical points:

A: Given: z = x3 - x·y + y2 - 1 To find: Critical points.

Q: (5) f(x, y) = −3x^3 + 6x^2 − 3x + y^2 − 2y + 2. (a) Find both critical points of f(x, y). (b)…

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Q: The function f(z) 2x-36z+120z-8 has two critical numbers. The smaller one is x = and the larger one…

A: A critical point is a point in the domain of the function where the function is either not…

Q: Use Lagrange multipliers to find the critical points and the relative extrema. f(x,y,z) = x² + y² +…

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Q: 3. For z = e2x – 2x + 2y2 + 3 a. Find the critical point(s) b. Classify each point as a local…

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Q: Consider (x, y, z) = x² + y² + z² + 2xyz. Show that (0,0,0) and (-1, 1, 1) are both critical points.…

A: Here we solve the given calculus problem.

Q: 4) y" - 2y' - 3y= 0, Find the soluhion of DiEferentiul Eyuahins y(0) = 1, y'(0) = 7. 5) y"- ky' = 0,…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: f= 3x" -4x' +2 = 9.3x -4.3x = 12x - 12x2 12x(メコ) =o 12x=0||メ-1。 4x*ナ2 f"- 12x-12x 3-1 = 3-12x-212> =…

A: Here, note that the function has critical points (0,2),(1,1). The function is increasing on the…

Q: 2) Use Lagrange multipliers to find all extreme values of f (x, y,z)= 2x+2y+z subject to x + y² +z²…

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Q: In this exercise, we suggest the use of technology. Round all answers to two decimal places.…

A: Solution is below

Q: the function f (x, y) = xy2 +1/6 x3 − X + 1 is given. a) find and classify all critical points of…

A: Let us consider the given function f(x,y). Determine the critical points by putting partial…

Q: Solve the IBVP below: PDE : Ux = (1/c²)uu for 0sxsL, t>0 ВС: и(0, () —0, и(L, t) %3 0 for t>0 2k х,…

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Q: Maximize f(x, y, z) = x² + y² +z? Constrain x+2z = 6, x+ y =12

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Q: maximize f(x,y)=xy subject to the contraint 6x+y=18  the last question is what is the maximum valye…

A: max . fx,y=xyS.t 6x+y = 18     6x+y=18⇒ 6x+y-18=0∴ gx,y=6x+y-18=0    Fx,y,L=fx,y-L g x,y⇒…

Q: 3. Find all critical points of the functionsf (x,y) = e2y (x2 + y?) and determine whether the…

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Q: 2. A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = = 27 – x2 – y² + 6y if they…

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Q: 3. Find the local maximum and local minimum values and saddle point(s) of the function. f(x,y) = x³…

A: Given that fx,y=x3+y3-3x2-3y2-9x Differentiate fx,y=x3+y3-3x2-3y2-9x partially with respect to x and…

Q: Q2. A zero initial conditions DSP system is described by y(n)+y(n-1)+2y(n-2)-x(n)=0 1- Find the…

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Q: Consider (r, y, z) = x² + y? + 2? + 2ryz. Show that (0,0,0) and (-1, 1, 1) are both critical points.…

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Q: The number of defects on the front side (X) of a wooden panel and the number of defectsa on the rear…

A: Solution: From the given information, the probability mass function of X and Y is

Q: An insulated heated rod with spatially heat source can be modeled with the Poisson equation. & T =…

A: answer is in next step. please give a like!!

Q: The function f (x, y) = x³ + y³ + 3x² - 3y² - 8 has local minimum at the critical point (0, 2). True…

A: To tell if the given statement is true or false.

Q: f(x) = 2x5 + 15x4 - 3x3-4x2+ 7x+ 14 1)Trapeaoidal rule 2) Trape20idal rule with n=2 3) 1/3 Simpson…

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Q: 2. Let f(x, y) = Vx² + y?. Find all critical points of f.

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: the function f (x, y) = xy2 +1/6 x3 − x + 1 is given. a) find and classify all critical points of…

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Q: (a) wnre the x- coordinate of all critical number (s) of R(x) (b) which crinical numberS are 1ocal…

A: k(x)  = K'(x) K(x) is continuous and defined everywhere.   As per the k(x) plot, k(-2) is not…