max z = x1 + x2 X1 + x2 < 4 X - x2 2 5 s.t. X1, X2 2 ()

Q: x-1 2. Find the critical numbers of f(x) =- %3D x +4

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Q: 1 1 5. f (x) = =x² + 3x – 5 4 5.f (x) —D — -х? + 3х — 5 4 | (6, 4) Opens up/down: Vertex: Axis of…

A: Graph of the function is given, we have to find required values

Q: .2 2 4) Let f(x) = xe²-z*". Find the following: a. Critical numbers b. Intervals of increase and…

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Q: f (x) = 2x -7 x* - > x - 2 critical points Find the

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Q: Evaluating a Function In Exercises 31–34, completethe table.

A: Function: 31. f(x)=-x2+5f(-2)=-(-2)2+5 f(-2)=1f(-1)=-(-1)2+5…

Q: 1 g(x): %D х2 — 2 f(x) = VIx| – 2 %3D - 1 1 g(f(x)) = |x| – 4 2 |x|– 2 – 2 (Vix| – 2) – 2 - - Dom…

A: SOLUTION:

Q: 9) Find all absolute extrema in the function k(x) = (x² – 4) 2 on the interval [-3, 3]. 10) The…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: 4. Solve for k s.t. the function is continuous 9 – x2 f(x) = x # -3 x +3

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Q: In Problems 23–38, for the given functions f and g, find:(a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘…

A: In Problems 23–38, for the given functions f and g, find: (a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘ g…

Q: Journal: XFactor: n+4n- 12

A: the factors are (n-2) and (n+6)

Q: 9(x – 4) + 4 (ӕ — 4)(ӕ — 2) - f(x) = - Where are the critical numbers? (Separate multiple answers…

A: follow next step

Q: Find all the critical values of the function g(x) = 6x+2sin(3x). a. π( 2n + 1) -,nEZ. 3 b. π( 2n +…

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Q: 16 Maximize Q=xy, where x and y are positive numbers such that x+ Y =4. The maximum value of Q is…

A: given  Q=xy

Q: X(z) = z(z+2) (z-1)(z-3) x(n) = u(n) — 223¹u(- -n-1) x(n) == Option 3 3 5 )=-u(n) + 3"u(n) Option 4…

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Q: max  z =  x1 + 3x2 s.t.      x1 + 2x2 ≥ 6          2x1 +  x2 ≤ 8           x1, x2 ≥ 0 For the LP…

A: A LPP is written in standard form as  max (or min) z = c1x1 + c2x2 + · · ·+ cnxn subject to a11x1 +…

Q: 1 6. f (x) = ;x² + 2x 1 6. f (x) = + 2x - 3 Opens up/down: Vertex: Axis of symmetry: Solution(s):…

A: To find the given:

Q: 1. max z = 2x1 + 3x2 X1 + 2x2 < 10 3x1 + 4x2 S 25 s.t. X1, X2 2 0; x1, X2 integer

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Q: The function:  f(x)=2x^3−36x^2+210x−3 has two critical numbers. The smaller one is x= The larger…

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Q: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

Q: 6 Maximize Fenoi Z = 2x1 – 6x2 subject to anole 3i X1 – x2 < 4 - -X1 + x2 < 4 X1 +x2 < 6 X1, X2 2 0

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Q: 2 For the f(x)=2x² - 4x² defined -2≤x≤3 on the interval A. Find all critical points B. Find absolute…

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Q: suppose that f(x)=x^3−6x^2+2. (A) Find all critical values of f. If there are no critical…

A: SOLUTION-

Q: f(x)=(-0.7x2+6.8x+4.2)e-x^2 Find the critical points, inflection points and intercepts (if any)…

A: Critical points of a function are those points where the derivative is zero and the point should lie…

Q: | Va(In(x))° dr (ax) 1.

A: We find the integration by substitution.

Q: Outcome/s: Max Z = -X1 + X2 + 2X3 ST: X1 +2X2 - X3 s 20 -2X, + 4X2 + 2X, s 60 2X1 +3X2+ X3 s 50 X1.…

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Q: 3. One of the methods used to eliminate arbitrary constant is by isolation of arbitrary constant and…

A: Here, to write the other method to find the arbitrary constant of the differential equation.

Q: /4x+ – 12x² +7 xdx . Evaluate the integral A) -(4x4 – 12r²+7)/2 +c 24 © ! (21--3)/- 121+7 – 2 m…

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Q: Find the critical number of the function F(x)= x^-8In(x) X=

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Q: h2 |w(x) = Let h = x1 – xo, and w(x) = (x – x1)(x – xo). Proof that max %D 4

A: Let w(x)=x-x1x-x0 where h=x1-x0Prove that wx=h24.

Q: The function f (x) = x' + 1 is continuous in the interval [-,2, 4] and differentiable in the…

A: Solution-

Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

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Q: Show graphically of the inequality 1. 2x+3y+5>o

A: Inequality: Linear equality is expressed of the form ax+by+c≥≤0. Instead of equal sign, an…

Q: Suppose a company's earnings are given by E(x) = P(x) + I(x), where x is the number of years since…

A: Given,    E(x) = P(x) + I(x)    Where P(x) = 1.2x+2               I(x) = 0.35x +1

Q: The function f(x) = = The smaller one is x = 2x³36x² + 192x - 1 has two critical numbers. and the…

A: The given function fx=2x3-36x2+192x-1

Q: 3. f(x) = --x- 1) + 2 4. f(x) : :--x+1- 5 Starting Pt: Inc or Dec: Starting Pt: Inc or Dec: Domain:…

A: Solution is here

Q: 3. Truncation error in the equation; with h = 0.2 S'(2) for f(x)=x² by f'(x)=[(x+h)-S(x) h

A: topic - derivative and truncation error

Q: 1+ In x If y = 1- In x The value of y' = 10.62 at x = 2 %3D

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Q: x²y' + 2xy = In(x), y(1) = 2 y = In(x) 1 2 + 1. 3 + - y = -In(x) O Option 1 Option 2 1 1 1 1 1 2 y =…

A: We are given first order non homogeneous linear differential equation which we will solve by first…

Q: 7 Find all critical numbers of the function f(x) = x4 -x2 +6 2 A x = 1; x = -3; and x = 2 B The…

A: We have to solve

Q: x% (x-4)* Find the critical numbers of the function g(x) =x 2.

A: Compute the derivative of the above function.

Q: Find all critical numbers of the function g(x) = x³ -x² - -Зх. (A) x = -1 and x = 3/2 B x = 1 and x…

A: Solution...

Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1)…

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Q: Graph the functions

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Q: The function f(x) : (2х — 6)е has one critical number. Find it. - x =

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Q: he function f(x)=2x^3−36x^2+162^x−7 has two critical numbers. The smaller one is x=    and the…

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Q: (4x³ + 42x)(x² + 7)² - (xª + 21x²) · 2(x² + 7)2x (x² + 7)4 (G) f"(x) %3D 14x(21 – x²) (x² + 7) Since…

A: if f"(x) = 0 then point of inflection roots of x

Q: 8. x' + 10x² + 6x + 4 is concave down. 3 Determine the interval(s) at which f(x) = -- a) O(-1, 00)…

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Q: 1 Using the linearization of f(x) =4*, approximate the value of 45° 2 1+-In2 3 2 5 The answer cannot…

A: Given query is to find correct option of linearization.

Q: 4. f (x) = ,x² – 2x – 6 2 4.f (x) %3D %3 х2 — 2х — 6 | Opens up/down: Vertex:. Axis of symmetry:…

A: The point of at which the parabola and its line of symmetry intersect is called the vertex of the…

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

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