(D-2)²y = 20 - 3xe²x

Q: 1. Find the eigenvalues and eigenvectors of the matrix. -2 A= (-34) -1

A:

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A: ∫0π3sinxdx

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A: Explanation of the answer is as follows

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A: From the given information we have,

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A: The given table is  To find: the right options.

Q: Why we use separation of variable method?why it is not applicable for ode?

A: To Explain: Why we use the separation variables method, and why it is not applicable for ODE's. As…

Q: (give) examples of L^p space

A: To give an example of Lp space.

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A: solutions are given below:

Q: = cosx (sinx). 2. Find the Fourier series on -≤x≤π for f(x) =

A: Given the function fx=cosxsin2x, -π≤x≤π

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A: Given:              r(t)=&lt; 7t , 5cost , 5sint &gt;⇒      r'(t) =&lt; 7, -5sin(t) , 5cos(t) &gt;⇒…

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A: We use definition of linearly independent vectors.

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Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: Find the first- and second-order (both cross and direct) partial derivative of the following…

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Q: 3. Consider the Initial value problem ry' = y + r ln(r); y(1) = 2 (a) Estimate y(1.5) using Euler's…

A: We have y'=yx+ln(x), y(1)=2, h=0.25, y(1.5)=? f(x, y)=yx+ln(x),   x0=1, y0=2

Q: 1. f(x)= x - 3|-|x + 1, one can say that ( ) (a) f(x) is strctly increasing function (b) the range…

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A: Given d2ydt2+2y=cos2t with initial condition y0=3, y'0=1

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Q: Evaluate the convolution between h(t)= e2u(t), and x(t)=2u(t).

A: From the above details we have,

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Q: gallbladde it takes about 24 hours for the radiation levels to reach what we are exposed sity of…

A: Given the data as, t(hrs) 0 1 3 5 7 9 R 1.000 0.891 0.708 0.562 0.447 0.355

Q: How many years if the compounded total conversion periods is 99 when compounded monthly?

A: Solution: Given, Total conversion periods = 99

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Q: What is the type of function for f(x)=x'+sin(5x). O Even function Odd function Neither function

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A: Solution :-

Q: Determine the Cartesian Equation of a plane that has a normal vector (6,-5,12) and passes through…

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Q: 8. Use Euler's Formula to find the number of vertices in the polyhedron with 8 to sens faces, 6…

A: ANSWER 8: 2 hexagons + 6 rectangles = 8 faces As we know that,  2 hexagons have 12 edges (6*2=12)…

Q: 1 Approximate Sexdx using four equal subintervals. -3 An approximation for the integral using four…

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Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

A:

Q: Using quadratic interpolation, find ln(9.2) from ln(8.0) = 2.0794, ln(9.0) = 2.1972 and ln(9.5) =…

A: Using Lagrange interpolation formula