Solve the given differential equation by separation of variables. dy - ху + 4y — х - 4 xp ху — 5у + х — 5

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A: Given:-f(x)=sinx-1cosx,        x∈-π2, π2f'(x)=sinx-1ddxcosx+cosxddxsinx-1…

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Q: Question Given the function of f(x) = -4x2 - 5x + 1 on the interval [-5, -2), find a point c between…

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A: f(x)=x3-16x+2    ;  [0,4]

Q: Q1: Using the Laplace transforms we found in class, together with linearity, com- pute the following…

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Q: ............................................... Flight of a Model Rocket The height (in feet)…

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Q: 6. Change the order of integration and evaluate the integral y+1 у? dxdy -1 Vy+1

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Q: 5æ")". 10 Differentiate f(x) = 5(3x" You do not need to expand your answer.

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Q: The two figures are similar and regular solids. Find their mass if the sum of eir mass is 120g. e1 =…

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Q: 1 Use SUBSTITUTION to evaluate the definite integral to three decimal places. xp- 2x +4

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Q: 1. Consider the graph of the function f(x) = 1.a. Is the function f (x) continuous at x = 1? Justify…

A: We need to find if the function is continuous or not in given interval.

Q: State the definition of the interval of convergence of a power series. Find the radius of…

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Q: Flight of a Rocket. Suppose the altitude (in metres) of a rocket t seconds into flight is given f(t)…

A: Use derivative for finding the interval

Q: -243 S sx(*)dr J ft]dt =m Find if

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Q: Given the power series expression 00 4n2 x" + E (n - 1)(n + 3) x" n =0 n =0 Combine the two power…

A: Combine the two given series

Q: Given the power series 2 (n + 2) A x(2n + 1) n =0 Use the technique that we covered in this lesson…

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = -3(x+5)2…

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = Vx+vy The domain of…

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Q: 5. S(-3 Vx- 6x Vx) dx

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Q: Find the particular solution: y" + 16y' = 0, when x = 0, y = 0, y' = 0, y" = 1

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Differentiate the function y = 2 ln (cos(x)).  dy/dx =

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Q: 1. ſ e*sinx dx

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Q: Consider the graph. y 4 2 8. (a) By reading values from the given graph of f, use four rectangles…

A: As per bartleby guidelines we only give first question answers.

Q: Suppose that the velocity v(t) (in meters per second) of a sky diver falling near the Earth's…

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Q: V9x2-12x +11 Evaluate lim x-1/3 3.x-1 -2 O NONE OF THESE O O o O O

A: To evaluate the following limit.limx→-13-9x2-12x+113x-1

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 2…

A: This is a problem related to function calculation. Based on the graph we can find out the interval…

Q: 2. The volume of a cube is increasing at the rate of 6 cm /min. How fast is the surface area…

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Q: 3x2 — 9х + 11 2х + 4

A: Given query is to find the derivative.

Q: F(x)=-2x2 - 2x - 2 find the absolute maximum value over the interval (0,6)

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Q: Graph the following equation by completing the table. r = 3 + 3sin0 0° 30° 90° 150° 180° 210° 270°…

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Q: Give the parametric and symmetric equations of the line that passes through the point (2,6, –1) and…

A: To find equation of line passing through the point 2,6,−1 and perpendicular to both vectors −4,3,−5…

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A: Given query is calculate the indicated function.

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Q: (a) Let f (x) = Vx – 1. Use the limit definition of the derivative to find f' (x).

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Q: A particle is moving with acceleration a(t) = 36t + 8. its position at time t = 0 is s(0) = 17 and…

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Q: Many statistics courses cover a topic called multiple regression. This provides a means to predict…

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Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t< T L = %3D

A: To find the arc length of the parametric curve.x=8 cost, y=8 sint, z=6t; 0≤t≤π

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Q: II.IDENTIFICATION. Identify the terms being described by the following statements. Choose your…

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Q: 1) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.1., # 37 or from your…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

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A: Explanation of the answer is as follows

Q: 17. Given a demand function, p=v15x + 0<x<65, find the value of x x- 65 Use R=xp that produces a…

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