. Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = x²y + 6y²-y, subject to the constraint x² + y² ≤ 54.3333333333333 maximum = minimum

Q: Concave down. (Enter your answer using in n points of f(x). (Enter your answers as a

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Q: What point on the parabola y = 1 - x^2 is closest to the point (1,

A: we will find the required.

Q: Problem #8: Evaluate the following limit. lim (x, y) (0,0) If the limit does not exist then enter…

A: J=lim(x,y)→(0,0)xx+4y

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Q: When you are evaluating the integral Which substitution can you use Which factor you have to ave…

A: Please see the below answer.

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Q: 1 5. Suppose the revenue of a company is modeled by R = -(1200x²-x³), 0≤x≤ 500, where 50,000 X is…

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Q: If ƒ (x) +x5(ƒ (x) )² = 34 and f(1) = 2, then f'(1) =

A: Derivative

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A: Given: Let A=1010-1101-10010-101

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Q: The partial fraction decomposition of A) B) D) 1 X+2 E) 1 C) X+2 1 x+ 2 x² + 2. + 1 X+2 + 1-2x (x²…

A: Given;  (3+x+2x2-2x3)/[(x+2)(x2+1)2].

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A: Given

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: x²y + xy² where x = s² and əz Let z = x y = t³ then Answer: ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ əs at t = 1 and s =…

A: Given:- z=x2y+xy2 Where x=s2 ,y=t3

Q: Use the following function along with its first and second derivatives to do the following: A. Find…

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Q: प 1 dp 1 = 21PE म _pm - 6

A: Given :

Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Solution:

Q: 2. Consider the graph of the function f(x) = 5x² - 8x. Calculate the slope of the secant that joins…

A: We have to find slope of secant line made by joining given x- values.

Q: answer for D?

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Q: an+1 or a sequence {a} satisfying →>> an Σ4" an A) n=1 converges. Σ4" an B) =1 ∞ Σ6" an C) n=1 Σ6"…

A: we will find the required.

Q: 4 3 3x(x + 6)² = x²(6)(x + 6)³ (x + 6) ²

A: Given query is to simplify the expression.

Q: Find dy dx using implicit differentiation. A 6x² +9y 8x +9y² Hint: First clear the denominator to…

A:

Q: TamuDerImg21 the function F(x) displayed below to answer the following questions. The domain of F(x)…

A: Given query is to find interval of concave up ,down and inflection points.

Q: 2: Find: L-¹ [- S3 1

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Q: Assume that the given figure is the graph of f'. nu 1 2 3 4 Identify the true statements. 5 6 f (0)…

A: Given graph of derivative of function

Q: x 1 2 x(x - 1) dx

A: An integral will be convergent if the value of integration is finite.

Q: f(x) = 13 X

A: We need to find out the derivative of the given function.

Q: Given y = 4x² + 5x, find dy dt dy dt when x = 1 and (Simplify your answer.) dx dt -=4.

A: Given: y=4x2+5x, x=-1 and dxdt=4

Q: ƒ" (1) ex+1 -1≤x≤0 = {atex = la[(x - 1)²3] 0≤x≤ 0.5' AB2: It is known that f(x) = e+4 2 where a is a…

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Q: dx Assume that x = x(t) and y = y(t). Let y = x³ +6 and=3 when x = 1. dy Find when x = 1. dt dy dt…

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Q: Find x² - 4x equation of the plane tangent to: z = 4e" at (8,16,4)

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Q: 11) The velocity of a particle moving along the x-axis is given by v(t)=-² + 2t + 4 for 0 st s 5.…

A: Given, the velocity of a particle moving along the x axis as, v(t)=-t2+2t+4  for  0≤t≤5 to find the…

Q: [ Find u x v, v x u, and vx v. u = 3i+ 6k v = 2i + 8j - 3k. (a) eBook (b) DETAILS (c) UX V VXU VX V…

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Q: Consider the following function. P-3 p² + 3 Find the derivative of the function. h'(p) = Find the…

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Q: -Calculate the minimum for the function f(x, y) = 2x² + 2x^² - xy

A: According to question,Given Function,fx,y = 2x4 + 2y4-xy

Q: A small business buys a computer for $2500. After 4 years the value of the computer is expected to…

A: Note : as per guidelines we support only three subparts of the question. Kindly repost next question…

Q: 1. Solve the following initial value problems: 1 ty with the initial condition: d) y (0) = 0 2.…

A: Solution: Given data, 1d)y' = 1/(ty)   Transformation y' (t) = dy/dt   dy/dt= 1/(ty)

Q: We recall that a point P on a curve y = g(x) is called an inflection point if g continuous there and…

A: The given function is: gx=160+8x3+x4  Find the inflection point.

Q: A company manufactures and sells x smartphones per week. The weekly price-demand and cost equations…

A: According to question,Given Functions,p = 500-0.5x,Cx = 20,000 + 135 x

Q: Let x be a number. Translate the English phrase into a mathematical expression. 13) The total of -78…

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Q: 3 ITT Convert the integral π/4 5) (xy + z) dz dx dy into an integral in cylindrical coordinates. csc…

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Q: The graph of y=x² + 1 is shown below (not drawn to scale). P (a) If a = 50, find the coordinates of…

A: The graph of y=x2+1 is given as ,

Q: Which of the following series is conditionally convergent? [(-1)". In n 1.0015 O O O O O A B U E A)…

A: Please see the below picture for detailed solution.

Q: The distance from the point A(1,0,1) to the plane that contains B(-1,2,3) and perpendicular to the…

A:

Q: Find all critical points of the function f(x) = x² - ²x² - 54x + 5. (Use symbolic notation and…

A: Given that the function is fx=x3-92x2-54x+5. It is required to find the critical points of the…

Q: Suppose that f(x) = 18eª — exe. Find ƒ'(3). ƒ'(3) =

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Q: Find the length of the curve Arc length = x = 1 √y(y - 3), 1≤ y ≤9.

A:

Q: e graph of y = f(x) is shown. Assume f'(x) is continuous. 8 7 6 5- 4 3 2 -7 -6 -5 -3 -2 -1 nd xf(x)…

A: Given query is to find indicated limit.

Q: If lim a = 0, then which of the following holds? 11-00 A) The series B) The series Σ(-1)" a"…

A: