The function f(x) = -x* + 6x + 2 is concave %3D up on: Select one: O (-00, -V3) and (V3, 0) O (-1, 1) O (-V3,0) and (V3, 00) O (-o,-1) and (1, oo) O (-o, -1) only O (-V3, V3)

Q: Find the maximum and minimum value of f(x,y) =x3+3xy2-3x2-3y2+4

A: fx,y=x3+3xy2-3x2-3y2+4   fx=3x2+3y2-6x   fxx=6x-6   fxy=6y   fy=6xy-6y   fyy=6x-6

Q: What is the value of a such that the function y = 2x4 - ax² + 3 has twin global minima at x = -3 05…

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Q: The function f(x) = 2x 30x + 126x – 6 has two critical numbers. %3D The smaller one is x = and the…

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Q: 11. Differentiate the function (use chain rule): y = x²(x-1)³(2x-5)² ;

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Q: Find and classify the critical points of f(x,y) = 2 – x +2a2 - y². %3D

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Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: Perform two iterations of the Steepest Descent method to minimize the function…

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Q: ! Find the max/min point for z = f(x, y) =-5x² -10y² + 20x+ 20y.

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Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

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Q: Find the values of a and b such that f(x) = x³ + ax² + bx + 5 has x = 1 and x = 2 as critical…

A: The function f(x)=x3+ax2+bx+5 has critical points at x=1 and x=2

Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

Q: # 13) Find two positive numbers x and y for which 2x +y = 30 such that xy² is maximized.

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Q: Consider the function f(x, y) = 2x4 +y² – x² – 2y. The critical points of f -

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Q: Find positive numbers x and y, whose sum is 75, such that xy2 is maximized.

A: Positive numbers x and y,x+y=75xy2 is maximized

Q: The function f(x) = 2x³ - 39x² + 216x 3 has two critical numbers. The smaller one is x = and the…

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Q: Find the absolute maximum and absolute minimum of the function f(z) = z² – 6z + 5 over (1,

A: Given: fx=x2-6x+5, 1,6

Q: Find the critical point of f (x, y) = 3x² + xy - 5x + y°, and determine its nature.

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Q: Find and classify the critical points of the function f (x, y) = 16x³ – 12x2 + 12xy? + 3y?

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Q: Q3/ Optimize the function Z = x + x ? Subject to: x1 + x2 4 x1, x2, 2 0 Using Lagrange multipliers.

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Q: g(x) = V4– x²

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Q: Find the critical numbers of the function f(x) = 2x3 -15x2 + 36x - 24. O a -2 and 3 O b. 2 and 3 O…

A: As per guidelines we are bound to solve first question only... Thank you

Q: f (х, у) %3D у3 + 3x2у - 6х2 6y2 + 2 function is given. a)Find your critical points of f. b)Find all…

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Q: The function f(x) = 2x – 45x + 300x – 5 has two critical numbers. The smaller one is x : %3D and the…

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Q: Find the critical points of the function f(z) = 3z - 9z.

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Q: Find the linear approximation of the function at the given point. ffx y)=-9x2-6y2+ 6 at (6,-10)…

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Q: The function y== In (3z - 2) satisfies the IVP: (3z – 2)°y" + 9 = 0, y(1) = 0, y'(1) = 8. Select one…

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Q: Maximize f(x, y) = 3xy Зху subject to x + y = 1

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Q: Maximize f(x, y) = 18 - x2 - y2, x + y - 2 = 0.

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Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: Maximize f=-x-3y subject to -2x+y = 2 X,y >= 0

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Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x+2y=5.

A: Given Function f f(x,y)=14-x2-y2 on line x+2y=5We need to find the maximum value For the line…

Q: Find the critical numbers of the function.

A: Let f be defined at k if f'(k)=0, then k is a critical number of f.Since, the function is given by…

Q: Find the linearization of the function at x = 1.* f (x) 2x - 3x + 7 %3D

A: From the given problem:   fx=2x3-3x+7 ; x=1   As we know that the expression for linear…

Q: Consider the function f(x,y) - x-44x- 4y and determine if, at the point (4,0) if the function is a…

A: Note: Since you asked multiple questions I solved one. For solution of other problem please post the…

Q: Use Lagrange multipliers to maximize the function x, y) subject to the constrai x.)-Say, Sy 20

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Q: Suppose that f(æ, y) = e-2x² – 3y² + y Then the maximum is

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Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

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Q: Show solution/process. 1. f(x) = 2x² – 4x + 5 at the point (–1,11) 2. f(x) = v25 – x² at the point…

A: Since there are more than one question, only one question can be answered. The function is given by,…

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

Q: The function f(x) = 2x 33x + 168r - 1 has two critical numbers. - The smaller one is x = and the…

A: In this question we are given with function x and we have to find the critical points of the…

Q: A goldsmith finds that the demand for gold is governed by p(x) = –x² + nx, where z is in (troy)…

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Q: The function f(x) 2x³ 33x² + 108x - 6 has two critical numbers. = The smaller one is x = and the…

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Q: Use langrage multiplier to maximize f(x,y)=25- x2 -y2 subject to 2x+y=10

A: We have f(x,y) = 25 -x2 -y2 subject to 2x + y =10

Q: Find the critical numbers of the function. b. g(x) = V1- x² %3!

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Q: Find the critical point of the function f(x,y) = 7x²y² + 4y² + 4x².

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Q: Q3/ Optimize the function Z = x + xị ? Subject to: x1 + x2 = 4 11,x2, 2 0 Using Lagrange…

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Q: Find the critical numbers of the function. g(y) = y-5/y2-3y+15

A: Given function is, g(y) = y-5/y2-3y+15

Q: a) f(x)= x° (x – 4 )²

A: To find critical number of f(x)=x45(x-4)2

Q: find the marginal revenue of the function. Using the quotient rule.  40x^2 -20x/x^2-10-2

A: Given: Revenue FunctionRx=40x2-20xx2-10-2 To Find: Marginal Revenue Concept: a. Marginal RevenueMx…

Q: The critical point(s) of the function z= 2x²-4xy-2y²+3x-7y+6 is/are...

A: In this question, we need to find the critical points of the function z = 2x2-4xy-2y2+3x-7y+6.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.