By using variation of parameters, what is a possible value for u' for the differential equation y' + 4y + 4y = sin x.

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A: Let X be a Banach space and Y be any normed space and F : X→Y be linear with the following property:…

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Q: Reading Question 5.2.2. Consider the map o : C* → C*, x + xt, where C* denotes the group (C -…

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Q: 2. Let f(r) = v (2 - r)2. Use the local linear approximation of f (x) at ro = V0.99 (1.01)². 1 to…

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Q: Determine whether the two lines are parallel, perpendicular or neither. 3x-y = - 18, 18x + 6v = 19

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Q: Evaluate the line integral, where C is the given curve. (x + 5y) dx + x2 dy y (5, 1) (6, 0)

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Q: 2. Let f(r) = VI(2 x). Use the local linear approximation of f(x) at ro = 1 to estimate V0.99…

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Q: Find the volume of the solid generated by revolving the area bounded by an ellipse 9x? + 16y? = 144…

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Q: Find the area of the region enclosed by the curves y = sinx, y = cos x, x = 0 and x = 2n.

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Q: Use (5) in Section 8.4.

A: Given,         X'=0110X+sinhtcosh(t)

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Q: 6 Use substitution to find the Taylor series at x = 0 of the function 1-4x ... What is the general…

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Q: 10. Write the binary number (1000110), in decimal and write the decimal number 327 in binary.

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Q: 7 Tom's school is located at S (-5, 3). He uses the following translations to go to home: From point…

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Q: [MO42] Evaluate the following (Express all answer in Rectangular Form): C. z? + 3z = log(-3),…

A: c) z2+3z=log(-3) ⇒z2+3z-log(-3)=0 ⇒z=-3±9-4(1)(-log(-3))2 ⇒z=-3±9+4log(-3)2+i(0)

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Q: Evaluate (x+y² + z?) dS, where S is the porti on of the paraboloid x=5+y² + =? contained within the…

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Q: Solve for y" (1) : y" – 4y' + 3y = 6t – 8, y(0) = 0, y'(0) = 0 %3D

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Q: a to graph the region. Also if the evaluation of the double integral is very complicated, you can…

A: Introduction: The formula of the green's theorem is given by, ∫C(Pdx+Qdy)=∬D∂P∂y-∂Q∂xdxdy.

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Q: 7. Find the real part of the dot product of the vectors u" = (i, 1+ i, 1) v* = (5 + i, –2 + 2i, –1+…

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Q: Problem 12.1.9. Prove Theorem 12.1.8. Theorem 12.1.8. Show that Q is countable. in-context

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Q: Problem 12.1.6. Show that each of the following sets countable. (a) {2,3, 4, 5, ...} = {n}2 (b) {0,…

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Q: Find the area of the region enclosed by the curves y = sinx, y = cos x , x = 0 and x = 2n.

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Q: B. Find the area of the region bounded by the following:

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Q: Find the area of the region bounded by the following:

A: To find the area of the region inside r2=2cos2θ and outside r=1.