2. If y = 3 sin(2x + 3) show that y" + 4y = 0

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A: 7x2+5x-3=x=>7x2+5x-32=x2

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Q: [ 2 (e* - 2) (e* - 3)dx -3 (2 e*.e* + 4)* dx

A: (1)…

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A:

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Q: (3 + 4i)3

A:

Q: Find the 3rd degree interpolating polynomial by Newton's backward formula f(X;) Af(X,) A²f(X,)…

A:

Q: 3. Plot the slope field for the differential equation = y² – x and sketch the solution for the…

A: Given: A differential equation dydx=y2-x. To sketch: Slope field of given differential equation and…

Q: Find the remainder when (1!)? + (2!)? + (3!)² + . (2021!)? is divided by 100.

A: We will find out the required value.

Q: 16. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

A:

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Q: -)5. Find the particular solution of the differential equation y' - 3xe = e that satisfies the…

A:

Q: 13. Find the mass of a thin funnel in the shape of a cone z = x² + y²,1<z< 4, if its density…

A: It is given that, the equation of a cone is z=x2+y2,1≤z≤4 and the density function is δx,y,z=10-z.…

Q: 17. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

A:

Q: 1. Find the location of the centroid of the plane region. 14 70 -35-- 35 Dimensions in mm

A:

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Q: xdy + (y – cos x)dx = 0, y (- = %3D

A:

Q: Answer the following probability questions in a sheet of paper. Upload your answer in our Google…

A: GivenTotal no.of cards in a deck =52

Q: 5. Find the general solution: 9y" + 12y' + 4y = 0.

A:

Q: - Determine the sample and

A: here use basic of population and sample

Q: 13. Solve the ivp differential equation: +y = e2x; y(0) = 0,y'(0) = dx

A:

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Q: In the half-range sine series expansion of f(t) = e^2t for Osts1, find b7. 14π[(1+e^2)/(4-49π^2)]…

A: Introduction: There are two different types of half range Fourier series. One is half range cosine…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.