Given dy (x+1)+y = 3 da y (0) = 2 (a) Use the method of integrating factors. Find the solution to this initial value problem.

Q: 10. Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

A: Two planes are perpendicular iff their normal vectors are orthogonal

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A: Solution of the given problem is below...

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A: Answer is given using polar coordinates.

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A:

Q: 1-4 3. Let A = 3 0 and define T(x) = T₁(x) = Ax. [1 2 (a) Find T(x), the image of x = [4] under the…

A: The question is based on topic linear transformation in linear algebra.

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A: given, f(x,y)=3yx2-10x+7=0g(x,y)=y2-5y+4=0let's say f(x,y)=f1   and g(x,y)= f2

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A: We shall give details in next step.

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A: O

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A: Shaded region is the solid R

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A: Solution :-

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Q: 1. A = set containing elements of 2 where the 2nd and 3rd balls selected are blue

A: Please see the attachment

Q: Q2: (B) let y = 3sin5x-2cos5x show that y + 25y = 0

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Q: 0) Solve the following PDE: (D³-7DD² - 6D") == 2² + xy² + y²

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Q: 4.In the mathematical Equation of Linear Regression y=a + a₁x+e₁ (ao,a₁) refers to a. (Y-intercept,…

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Q: Q.7 (a) Obtain the Fourier series of the function f(x) (b) Show that, fcdu=e¹.x > 0. = {1,05x5

A: Using the Fourier cosine integral representation for the result of (b)

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Q: 10. Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

A: Given, plane1 =&gt;kx+2y-2kz+3=0 and plane2 =&gt; x-2ky+5z=0

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Q: what is the equation of fo

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Q: 4-G Given that A= (1) AB (ii) B (iii) AT 1-2 1 3 5 0 2 06 and B-3 1 2, determine 4-13,

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Q: (B) let y 3sin5x - 2cos5x = show that y + 25y = 0

A:

Q: 6. Consider [n] := {1,2,3,...,n}. The uniform subset graph U(n, k, i) has vertex- set the k-subsets…

A: Given: The set, n:=1,2,3,...,n. The uniform subset graph Un,k,i has vertex set the k-subsets of n.…

Q: Using the Laplace transform solve ²+2 + 2q = tH (t-3), where q(0) = 0, q'(0) = 0.

A: 1l

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Q: Evaluate L. Cos 3 -1 X x² + 1 dx

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: If Q, R, S are sets then QU(ROS) and (S-(QUR)) U (R- (QUS))) are disjoint sets.

A: This is a problem of the set theory.

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Q: = e-2x sin2x, y(0) = 1,

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Q: (0) = 6, y'(0)

A: