Use undetermined coefficients to find the particular solution to y"-4y-5y = ex (24 - 5x) Yp(x) =

Q: -2 -3 2 8 2 16 -8 -2 -3 -1 -12 -4 2 3 A = 2 -2 -2 -2 2 1 -1 -1 -1 2477 T a) Find an orthogonal basis…

A: It is very lengthy question so I'm unable to do in limited time so We  shall do the first part only,…

Q: 8. Let Po(3, 1) and f(x, y) = x² +y³+xy. Let Fi(t) be the curve of intersection between f and the…

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Q: 7. Suppose A,B and C are sets. If B≤C, then A x B=AXC.

A: 7)

Q: If ||v|| = 5 and Il w || = 3 , what are the smallest and largest possible values of ||v - w ||? What…

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Q: This exercise refers to P₂ with the inner product given by evaluation at 1, 0, and 1. Compute the…

A: This exercise refers to  with the inner product given by evaluation at .Compute the orthogonal…

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Q: (6. let aiseendn (coreen + cotu) == f(n) + C Of (eseen cot use su asien-cotu) ² f(n) = ? = (cosecn+…

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Q: For the functions f(x)=2 and g(x)=, find the compositioni fog and simplify your answer a (+8)(x)=…

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Q: ƒ(x) = x² − 4x³

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Q: Question 2 Solve exactly the following integrals. (a) ¹*(¹+2) dx (b) fxsin2x dx (c) So (2x+3xx-1)dx

A: From  the guidlines i can solve only one question with three subparts.Consider the given integral

Q: The answer is incorrect

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Q: Maximize (3x + y + 2y²)dt dx with constraints and x(0) = 4. dt = y + 2x

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Q: Problem 1. Let M be the Z-module ₂ Z₂ where p runs over the prime numbers, and let N be its…

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Q: 7.2.17 Show that To Ta dx (x² + a²)² = Л 4a³' a> 0.

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Q: In 1980 the population of alligators in a particular region was estimated to be 1400. In 2006 the…

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Q: Q5: William spent $384 to buy some T-shirts and shorts. The cost of a pair of shorts was $12 and a…

A: We have to find money spent by William on T-shirts.

Q: This is incorrect

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Q: 8. Suppose a, b e Z. Prove that a = b (mod 10) if and only if a = b (mod 2) and a = b (mod 5).

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Q: What is markov matrix? Please explain with an example and don't copy paste plz

A: A square matrix called a Markov matrix, also called a stochastic matrix, includes non-negative real…

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Q: A person's Body Mass Index is I = 2, where W is the body weight (in kilograms) and H is the body…

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Q: (b) Determine whether y = t¹ is a solution of t³ y" + ty' — 8y = 0

A: (.)  Given differential equation is ,                 is solution of the given differential equation…

Q: Solve the following Laplace equation. d²ud²u + 0<x<1, 0<y<1 ox² dy² B.C.: at x = 0 and x=1, u=0; at…

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Q: Solve the boundary value problem: (Show all the work!) 9Uxx 0 0; ux (0, t) = ux (1, t) = 0, u(x,0) =…

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Q: 2 Expand ƒ(2) = sin(₁2₂) in a Laurent series about z = 1.

A: function is given to us-:

Q: a) Draw y = f(x) -3√↓ i) At what value/s of x is the graph of y=undefined and what does that mean in…

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Q: 3. Given an integer a, then a³ + a² + a is even if and only if a is even.

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Q: If f:G\rightarrow{}G' is an isomorphism of groups, show   that the order of an element a∈G is equal…

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Q: 8. If A, B and C are sets, then AU(BnC)=(AUB)n(AUC).

A: Given that are three sets.we have to prove that Here to prove this we prove two parts  and First…

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Q: (a) (b) Verify whether the vector X = equation dx dt dy dt = 10x - 5y =8x-12y 7643 14 -10/ е X'= is…

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Q: Sy' =2y+3 Ly(0) =3

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Q: Using Richardson's model and according to the following given special cases, indicate whether there…

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Q: 6. Prove the result in Example 10. Use the fact that if xy = 0, then x = 0 or y = 0.

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (^(²-1) ex dx

A: The given integral is:

Q: 11) Find the equation of the tangent line for h(x)=x²-4 at the point, (1,-3)

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Q: For each graph below, state whether it represents a function. Graph 1 Function? Function? -4 -2 Yes…

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Q: The point of intersection of the graphs of the equations Ax - 4y = 6 and 4x + By = -10 is (1, -3).…

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Q: L. Using the Midpoint Rule a. Estimate the integral with n=4 steps and find an upper bound for E The…

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Q: Let P₁, P₁, and p₂ be the orthogonal polynomials described below, where the inner product on P4 is…

A: Let p(t) and q(t) two polynomial,  then inner product space evaluated at x0,x1,...,xn is defined as…