Deduction of the second derivative criterion for optimization of functions of two variables using and as related to Taylor

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Q: 55,000 Suppose that the demand function for a product is given by D(p) = and that the price p is a…

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Q: Find the general solution of the following equations: a.(d^3y/dx^3)−2(?^2y/dx^2)−3(dy/dx)=0…

A: We need to solve D.E.

Q: Show the 2 SOLUTIONS using Simpson and Trapezoidal's Rule. Thanks

A: Given

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Q: What is the exact value of tan 0-√3 0-1 01 0 √3 16л 3

A: we have to find the exact value of tan(16π/3)

Q: Let v(t) = (t², -4t,9). Compute the derivative of the following function. v(e¹)

A: Solve the following

Q: 1. xex² dx ·6². 2.52²dx answer: answer:

A: ∫01xex2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫euduWe know that ∫audu=auln(a)=euPlug in the solved…

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A: we have to find a angle between 0 to 2π that is coterminal to 1020

Q: 22 [x + 1 x - 11 -1 5. Let A = |x-1 5 7 -X does not have the inverse. find the value of x that make…

A: Given A=x+12x-1x-12-157-x that A is not invertible, Therefore det(A)=0

Q: (3) Let A be commutative ring with identity, then A has just trivial ideals iff A is ....... O…

A: Here you have posted multiple question, So as per the policy I can answer only first question for…

Q: 8 [3 CSC4 3 csc4 2x dx 24

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Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

A: I am attaching image so that you understand each and every step.

Q: 2x² + 3 Find f'(x) given that f(x)= x² - 5x+2 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ -…

A: I am attaching image so that you understand each and every step.

Q: as a single logarithm and, if possible, simplify. -log b +3 log c log b + 3 log c = Use parentheses…

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Q: 11) Find the best upper bound for the error when using Newton polynomial P3(x) to estimate f(x) =…

A: Concept: The upper error bound using the newtons polynomial: Rn≤Mnn+1!maxx∈a,bx-x0x-x1....x-xnWhere…

Q: Determine its amplitude, period, and midline. Consider the function f(z) = 2 (cos (z − 3) + 3).…

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Q: B)Z = 1 + Ini, find |ZI.

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Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, 0, 0),…

A: Given points  P ( 0, 0, 0) and  Q ( 1, 9, 3)

Q: -1 16/(A)Evalute ex² dxdy. (B) If f(x, y) = x² ye(x+y²) Find the four seconed partial derivative.

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Q: Jse calculus to find the open intervals on which the function f(x) = x+8√√2-x is increasing or…

A: solution given below

Q: hange the cartesian integral in an equvalant polor integral then evalute e polor integral ² -√√2x-x²…

A: Given problem:-

Q: and the local maxima, local minima, and saddle points of the function, f(x, y) = x³ + 3xy + y³

A: Topic = Derivative

Q: Show that the following equation [ has a solution on (0, 2). 42-1 = πX 2 5 cos(-

A: The given equation,       4x-1=5cosπx2

Q: Find the general solution for the following First Order Deferential Equations: +1 x. e²ydy + (x²+¹)…

A: Given that a first order differential equation and we find solution of this equation. Here we use…

Q: Use partial fraction decomposition technique to evaluate the integral: x² S dx. (x+1)3

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Q: wer each of the following questions: tio of two numbers is 3:5. The larger number is 30. What is the…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: The graph of f(x) is shown below. Which of the following statements are true? y -7 -6 -3 -2 Select…

A: Here we have to choose the correct option.

Q: The line y - 42-1457 is tangent to the graph of 111 at the point y=2x²-182²-158z+1

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Q: can you please solve the other

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Q: Which of the following describes the graph of g(x) = -In(x − 4)? *Ty 8 7 6 5 4 2 2 1 -10 6 7 8 -2 -3…

A: We have to choose correct option

Q: For the vectors u= (-8,0,3) and v= (1,3,-3), calculate proj,u and scalvu.

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Q: 4 Find the linearization of the function f (x) = x² at x = 1. L(x) = Using this linearlization, ƒ…

A: f(x)=x4 at x=1 So, L(x)=f'(1)(x-1)+f(1)

Q: Use the graph of f(x) = ² below to find a number & such that 2-1 < 0.2 whenever 0 < |x-1|< 8. 1.2 y…

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Q: Approximate the following integral using Simpson's rule. Experiment with values of n to ensure that…

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Q: 3. Determine whether the function is continuous at r = 5. 2²-42-5 2-5 x 5 D

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Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

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Q: Find the first 4 terms in the maclaunin serie, for Y=x/sqart (1-x^2)

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Q: Find all vertical asymptote(s) for f(x) = r answers using limits. = √√7-√√3-x |x +41 (x2)) ●

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Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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Q: 1. Dan earns P620 in selling 5 boxes of facemask, how much will be earned in selling 20 boxes of…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: | Find the values of a and b such that the following function [a(x − 1)² + b²x+2, if x 3, ious at x…

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Q: The modulus of 5 + 4i is * -41 -√41 √41 41 The conjugate of (i-i² )³ is -2-2i O 2+2i -2+2i Oi-1

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Q: Let f be a function defined by: f(x) = ln(22x). In Then, f-¹(x) = e¯* + 2. ос إختر واحداً: True…

A: Topic = Functions TRUE

Q: Find the general solution for the following second order D.Es? +y=sinx (Variation of Parameters…

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Q: What is the area of the largest rectangle that has its base on the x-axis, its lower left corner at…

A: To find the area of the largest rectangle with given corner points.

Q: 1.) lim 3* x-2 2.) lim (2x+¹ -3) x-2

A: Given: 1.limx→23x2.limx→22x+1-3

Q: 4. Find the limit of the sequence 3e" + 20n 6e +37 7} or determine that it diverges.

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Q: Question 2 Let F(x, y, z) = -2y + 2x J. Use Stokes Theorem to find +√7. -d7, where C is a circle…

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Q: Find the inverse function of f(x) = Specify the domain for f-¹(x) f-1(2) = = 2-9 Domain of f¹(x)…

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