Which of the following define equivalence relations on the set Z-{0}? A/ a ~ b if and only if a2=b4. B/ ab if and only if both a,b are divisible by 3. C/ ab if and only if a,b have the same parity.

Q: Find the marginal profit function if cost and revenue are given by C(x)=273 +0.1x and…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Consider the following initial value problem: a) Find the solution y(t). NOTE: Denote the Heaviside…

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Q: Repeated Eigenvalues Find the general solutions for Prob- lems 23 and 24. Sketch the eigenvectors…

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Q: (1 point) Let and Determine the value of each of the following: (a) g(-7)= (b) g(-2) = (c) g(2) =…

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Q: Solve the IVP: "-4y+3y=sin(4xt) u(t-1) y(0) = 0, '(0) = 0.

A: y''-4y'+3y=sin4πtut-1, y(0)=y'(0)=0   Note : As per the guidelines I am answering only one question…

Q: Question 42 of 60 Given that the equation (4x-y)/(x+y)=(5)/(2) is true, what is the value of…

A: We are given that          (4x - y)/(x + y) = 5/2        => (4x - y)/(x + y) + 1 = 5/2 + 1…

Q: Find the exact values of the six trigonometric functions of the angle 0. cot(0) = 6 sin(0)= cos(0)=…

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Q: A graph of y = f(x) is shown. In the same coordinate system, sketch a graph of the derivative f y =…

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Q: 2. Let A be the standard matrix of the linear transformation which rotates every vector in R²…

A: Bartleby Guideline : ''Since you have posted multiple questions ,we will provide the solution only…

Q: In Problems 1 through 10, we have provided the slope field of the indicated differential equation,…

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Q: 22-34 Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

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Q: Use a change of variables to evaluate the following integral. SS Sxy dv: xy dV; D is bounded by the…

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Q: 15. Find the rectangular cube of largest area, with sides parallel to the unit axes, that can be…

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Q: Consider the following initial-value problem. y" + 16y = cos(4t), y(0) = 2, y'(0) = 3 Take the…

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Q: b. Given the equation x²-3x+5 x+4 =-3x+2, use technology to determine the solution graphically…

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Q: (nx)² n(n+1)* Let fn (x) = (−1)n Let fn (x) n=1 = . Find lim fn pointwise. n→∞ x² ¹. Determine for…

A: 1. Given fn(x)=(nx)2n(n+1)=x21+1n→x2 as n→∞.So limn→∞fn=f, where f(x)=x2∀x.

Q: For a period of time, an island's population grows exponentially. If the continuous growth rate is…

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Q: 1.) Consider the function f(x) = 2x² - 3x + 1. Find the average rate of change over the interval…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

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Q: Find the logistic equation that satisfies the initial condition. Logistic Differential Equation dy =…

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Q: *Using the maxima and minima of the function, produce upper and lower estimates of the integral I =…

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Q: Consider f(x, y) = (x² + 2y²) a. Sketch cross sections (at least two) of f by keeping y fixed and…

A: Given: f(x,y)=x2+2y2. Sketch cross sections (at least two) of f by keeping y fixed and then x…

Q: 1. 2. Determine the convergence or divergence of the sequence with the given nth term. If the In(n7)…

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Q: The function f has continuous second derivatives, and a critical pa OA. is a saddle point B. is a…

A: Given that fxx-4,5=16 ,fxy-4,5=8,fyy-4,5=4  Then fxx-4,5fyy-4,5-fxy-4,52=16×4-82=64-64=0.

Q: At what x-values does the function appear to not be continuous? x = 2

A: Given the function graphed below:

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Q: Question 4 (a) Find the inverse of the following matrix using the partitioning technique: (b) Solve…

A: Inverse of the matrix

Q: Write a triple integral, including limits of integration, that gives the volume between 3x + 5y +z =…

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Q: If f and g are the functions whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) =…

A: Graph of the functions f and g are given and define ux=fgx, vx=gfx, wx=ggx. We have to find the…

Q: 4z dy dz Solve the following differential equation: 2ze² - 4y + 6x². constant help (formulas)

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