Given the differential equation xy y'=2 and the initial condition y(a) =3, what is the the value of a that would give this particular solution:

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Q: Consider the non-homogeneous differential equation (D)y = F(x) where it has m³ – 3m? + 3m + 7 = 0 as…

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A: Answer should be 20.254°C.

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 3, 27)…

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Q: 1 Find the sum of the following convergent series: > L n? – 3n + 2 - n=3

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Q: The general solution for the homogeneous differential equation y(5) – 2y(4) + 2y - 4y" +y - 2y = 0…

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Q: VII. Let f(x) = %3D 1– 3x 1. Find a power series representation for f(x) for all r € 2. By first…

A: Solution is given below:

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Q: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

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Q: 4 En=1 3 3n

A: The summation of 4/(3n-n1/3) , n from 1 to infinity.

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Q: Solve the equation 4cos2B – 4cos B = 3 given that 0 < B < 2r. Provide your answer below:

A: We have to solve the quadratic equation, it's roots will give value of the solution

Q: 3. Hallar una serie de potencias centrada en c = -3 para la función f(x) = 1 2х-5 a) Σ (3x)* 2-1…

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Q: Find the surface area of the cone z = ' + y² that lies between the plane y = x and the cylinder y =…

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Q: Determine whether the following series converges or diverges. If the series converges, determine the…

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Q: CONVERGENT

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Determine if the improper integral converges or diverges. If it converges, find its value. In dx

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Q: 2.

A: Explained below

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Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

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Q: What are all the cube roots of -1 in the complex plane? Mutiple choice options: 1 -1 e(5π / 3 i)…

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Q: Find all solutions of cos (z2) = %3D (Leave your answers in exact form and enter them as a…

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Q: Determine the derivative of each function using the limit definition. 1. Y = 2 – 7.x

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Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. r = cos“ 2

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Q: Find the general solution of the given differential equation. (* - 9) + by = (x + 3y? v(x) = Give…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Express the integrand as a rational function and then evaluate the integral. x - 4 dx Jo x² – 5x + 6

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Q: Find the sum of the convergent series below. Show complete solution

A: This question is related to infinite series, we will solve it using given information.

Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, –2) and the vector component of v…

A: Given v=(4,-1,7)      b=(1,2,-2)

Q: 4. Determine the general equation of the plane containing the points P(1, -4, -5), Q(2,0, 13) andR 3…

A: Follow the procedure given below.

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Q: (e* – e-t)°dt

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