Suppose A is a 3 x 3 matrix with real entries that has a complex eigenvalue-6-5 with corresponding eigenvector eigenvalue and eigenvector for A Eigenvalue- Eigenvector- -2-51 Find another

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. 3 2 f(x)=x + 7x + 11x + 2, k…

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Q: farmer's house sits 5 miles due south of a river. The diagram below shows the path that the farmer…

A: Figure:-

Q: 2. Eliminate the arbitrary constant(s) in the following equations: a. y C₁x²2+ C₂x + C3 b. tany C₁…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

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Q: 3 If f(x) = 6x³ ln(5x), then ƒ'(x) = f''(x) = ƒ'''(x) f ƒ (4) (x) ƒ (5) (x) = = =

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Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2) =…

A: To find a polynomial of degree 3 with real coefficients and zeros of -3, -1, and 4 for which f-2=12.…

Q: Find x and y: 1. You have 400ft of fencing to construct a rectangular pen for cattle. Then, the…

A: Topic - Application of derivatives We are given length of fencing available =400ft Perimeter of…

Q: 2) Consider the DE: (2xy - 6x²)dx + (x² +9)dy = 0 A) Determine whether the DE is exact or not, then…

A: Here we have given a differential equation:(2xy-6x2)dx+(x2+9)dy=0 Let us assume that, M=(2xy-6x2)…

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Q: Evaluate the following sum of iterated double integrals: 2y 1.² 1th ²² e4x-x² 4-2y dx dy + + ₁² ²²…

A: To find:- ∫01∫02ye4x-x2dxdy+∫12∫04-2ye4x-x2dxdy

Q: Which of the following is the integrating factor of the given linear DE ? dy -- 10cos(2x)…

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Q: Suppose that a price p and demand x are related through the price-demand equation x + 400p = 8,000…

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Q: The school has a sport tour. The learners each have to pay R200 to go on the tour. The learners have…

A: Given table: 24 cold drinks are sold at R15 and 48 cupcakes are sold at R8

Q: Solve (c) y" + 4y = 0, (d) (1+y/2)3 = (y')².

A: Solution is given below:

Q: f(x)=3x2+2x-5 g(x)=x2+7x-2 7 A BI

A: Given query is to solve the system of equations.

Q: Question For the function f(x) given below, evaluate lim f(x) X18 and lim f(x). 8118 f(x) = 1 − 2x²…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x-² In(x),…

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Q: Let S = an be an infinite series such that S = 7 - 3 N2 10 Σ απ 10 (a) What are the values of an and…

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Q: True or False. (SHOW complete proof) 3 1. y² = cx + c³ is a solution to y = 2x dx + y² (dx)³. dx +…

A: Note : As per our Guidelines , we can solve first question . Please repost remaining question .

Q: Question 3 implicit differentiation to find the equation of the tangent line to the curve zy³ + xy =…

A: Given query is to find the equation of the tangent line.

Q: Find the general solution of each of the following homogeneous equations. Use the method of…

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

Q: Find the derivative of the function and evaluate the derivative at the given value of a. √√x h(x)=x…

A: The given function is; h(x)=xsqrt(x), a=9.

Q: For the function f(x) given below, evaluate lim f(x) X18 and lim f(x). X118 f(x) = lim f(x) = x →∞…

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Q: If the integral ∫4−4∫√16−y2−√16−y2∫√16−x2−y2−√16−x2−y2(x2+y2+z2)dzdxdy was converted into an…

A: To convert in spherical coordinates.

Q: A farmer is constructing three equally-sized pens against the side of a barn for his animals, as…

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Q: 2 Find the equations of the tangent line and normal line (in the form: ax + by = c) to the curve y³…

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Q: I am having trouble understanding your answer. How many miles should the boat land from the…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: O(fg)' = fg' + gf' O(fg)' = f' + g' O(fg)' = f'g' finding the derivative of the product of two…

A: (fg)' = ? this is the formula of derivative when two function are multiplication (fg)' =f'g +fg'…

Q: Find the most general antiderivative or indefinite integral. [(e-11x + 2x) dx S(+2) - 11x dx =

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Q: For the function f(x), whose graph is shown below in blue, find lim f(x). x-x The red vertical…

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Q: Find where the line y = 7 - x is closest to the point (0, 0) and then find where the line y = 7 x is…

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Q: Determine if the sequence below is arithmetic or geometric and determine the common difference /…

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Q: Let f(x) = tan ¹(sin(8x)) f'(x) = > Next Question

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Q: For the region bounded by y=x, the x-axis, and x = 4, determine which of the following is greater:…

A: figure:-

Q: 1+x 1-x

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Q: 4. Sketch the graph of a continuous function f(x) with domain [0, 2] which is differentiable up to…

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Q: A company's marginal cost function is MC = 15x³/2 - 20x²/3 + 1, where x is the number of units, and…

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Q: Let f(x) = ln(x³) f'(x) = ƒ' (e³) =

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Q: Let f(x) = (sin x)³ + (cos x)³ Enter the total number of critical numbers on the interval [0, 2π].

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Q: why is e and the natural logarithm, rather than other bases, are used in so many situations

A: We have to explain why is natural logarithm is used more.

Q: The revenue from selling qq items is R(q)=150q−q2, and the total cost is C(q)=50+12q. Write a…

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Q: 14x + 5 Let f(x) tangent line to the graph by y = mx + b for m = b = = - 3e. Then the equation of…

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Q: Consider the function f(x) = -5(x-4)2/3. For this function there are two important open intervals:…

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Q: Use synthetic division to decide whether the given number k is a zero of the given polynomial…

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Q: Determine whether the following integral converges or diverges. π 2 So² cos (0) de √sin (0)

A: Given query is to find integral converging or diverging.

Q: 1, 1/(1-1/2), 1/(1-2/3), 1/(1-3/4), ... Show steps please: Find an explicit formula an = ---- for…

A: Here we have given a series:1, 11-12, 11-23, 11-34, 11-45, ........... So the general term of the…

Q: Q distance distance formula @ Find the distance Define between A(1, 2) and B(-2, 2) resp: (1) show…

A: Since you have posted multiple questions i can do first question with all subparts as per our…

Q: Find the relative maxima and relative minima, if any, for the function f(x) = (x − 1)²/3 — (x +…

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Q: A central angle ? in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure…

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Q: what about line and surface integrals??

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