Classify the following ODE's with respect to order and linearity. a. 3x-y' - 5y = 7x³ - 8x+1

Q: Consider the position function s(t)= - 16t+96t representing the position of an object moving…

A: Given problem:- Consider the position function s(t) = - 16t2 + 96t representing the position of an…

Q: Find the general solution of the following DE. xy(y')² + (x² + y²)y' + xy = 0

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Q: Evaluate csc(π/6)   Enter the exact answer.

A: Solution ) csc(π/6)  Angle in first quadrant  We know that  Sin x = 1/ csc x  x = π/6 Sin (π/6)  =…

Q: Calculate the area contained between the curve y = cos x, -<x<, and the line y = 1. T 3. √3 Option 1…

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Q: differentiate the function R(q) = 9lnq

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Q: 1. d²y dy +6- dt² dt +8y=-4 cos(3t)

A: We need to solve D.E. As per Bartleby's guidelines we can solve one question from multiple question.…

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

A: We need to s0olve D.E.

Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A: The risk-reward function,    y=xlnx-2y=units of reward, x=units of risk

Q: Question 17 The integral represents which quantity? the total mass with density F the length of the…

A: We need to choose correct option.

Q: Determine the values of r for which the differential equation y" - y = 0 has solutions of the form y…

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Q: A gas station sells Q gallons of gasoline per year, which is delivered N times per year in equal…

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Q: Find the solution of the following IVP x²y' + 2xy = ln(x), y(1) = 2 1 1 y = ln(x) y=-In(x) - + 3/2 -…

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Q: д 1 Option 1 Option 3 1 1+ 3x2 2√3 9 2 3 3 dx Option 2 Option 4 √3л 9 √3л 3

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Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: Which of the following are parametric equations for the entire unit circle? Choose all that apply.…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:-

Q: Calculate the divergence of the vector field F=x²y³z¹i-xyzj+(x+y+z) k

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Q: Some of the highest tides in the world occur in the Bay of Fundy on the Atlantic Coast of Canada. At…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  to find the rate…

Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: Properties Of The Dot Product (- 2-.. pesta ) n. v = 0 = i = 0 or D = 0or ii 1 v تريلية

A: We have to prove the given property.

Q: With a curve 56 3 17 x² + y = 6, y = x, y = -2 and x = -2. . Determine its area.

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Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: f(x) = x²+3x x+3 "2"⁰ 24

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Evaluate the following integral: a.) SIS z ln y tan z dV if S = {(x, y, z) = R³ : − 1 ≤ x ≤ 0, e ≤ y…

A: S is a rectangular cuboid, hence limit of each individual are independent so the integral are…

Q: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…

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Q: sv x² + 2x dx

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Q: I. Solve the following Linear Systems of Equations by Gaussian Elimination: 1.) 6x + 2y4z = 15 -3x -…

A: To solve the system using the gaussian elimination method.

Q: In spherical coordinates, the equation below describes what? O a plane O a cone O a sphere O a…

A: topic- spherical coordinate system

Q: The area bounded by the parabola x²- 2x+y=3, the y axis and the line y=4 revolves about line y=4.…

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Q: 2. A cyclist applies a force F with magnitude F = 50N in the same direction as the vector b = 4 j.…

A: We have to find the vectors.

Q: Convert the Cartesian coordinate (-1,-4) to polar coordinates, 0≤ 0 0 Enter exact value. 0-

A: Given, (x,y)=(-1,-4)

Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis. 1/3 3 1/9 9

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Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5)…

A: To answer the given questions using the given graph.

Q: The following statements are true about "Integration" except: the method of adding or summing up the…

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Q: Let p(t) represent the population of a major city t years after 1950, as shown in the table and…

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Q: Find the area contained between the two curves y = 3x - x² and y = x + x². 1/3 sq. units 1/4 sq.…

A: Let's find area between two given curves.

Q: Find all the values of x such that the given series would converge. ∑_(n=1)^infinity((−1)^n x^n…

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Q: 3. Use the cross product properties to prove the relation (a - b) × (â+b) = 2(â × b) given a = (1,…

A: Given,a=i-3j+2kb=-2i+0j+k

Q: r(x) = 5 log4 (3x + 10)

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Q: Question 9 This triple integral represents the volume of a cylinder. O True O False V = f²" f² fr dz…

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Q: Find the Cartesian equation of the plane containing the point P(1,3,-2) and the I T = (0, -1, 4) +…

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Q: 1. Evaluate L²S³ (2y³ + x²y) dx dy

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Q: 4. 2-5 2 -1

A: Given: ∆=|2-52-1|

Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: 3. fx²(9-x³)5 dx 4. J√4x-1 dx

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Q: Three vectors u, v, and w exist such that - + = 0. Determine the value of ū+uw + (-). w, given that…

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Q: trahedron enclosed by the coordinate planes and the plane x+2y+z= 8.

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Q: 3x²+2 0 2x²+4x+3 In 121 3 So Option 1 In 131 2 Option 3 None of the above dx Option 2 2 In 131 2 2…

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Q: Option 3 + 7 2x2 7 ALL OF THE ABOVE

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Q: limits

A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.