-Variation of parameters wwwwwwwwww.int dy dx x3 + 2x²y = sen x y(1) = 0

Q: 1. Let ā=ī-2j+k, b = i +4j-5k, c = 5i + j - 2k & d = -2ī-j+k. Answer each of the following: Sketch…

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Q: [ACS] For each of the following statements, either show it's true (justifying your answer) or give…

A: Since you have uploaded multipart question, according to our guidelines we have solved first three…

Q: 11.3.1. Use an eigenvalue decomposition to write the system re²(t) = [4 ]u(t) equivalent diagonal…

A: Given system is,  u'(t)=04-40u(t) First, let us find Eigen values and Eigenvectors of the matrix…

Q: A B Let M be a (m+n) x (m + n) matrix in the (block) form (8 B). 0 D is nx n. where A is mx m and D…

A: (a) Assume A,D are invertible.  Then A-1 exist. Then det(M)=det(A)det(D−CA-1 B)=det(A)det(D) [Since…

Q: Show that 1-ei0|= 2| sin(0/2). [Hint: first multiply by e-i0/2. For this question, you may not use a…

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Q: Use cylindrical shells to find the volume of the solid formed by rotating the region bounded by y =…

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Q: Two sides of a triangle have lengths 8 m and 13 m. The angle between them is increasing at a rate of…

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Q: A linear system with variables x, y, z is represented by the given augmented matrix. Solve the…

A: Given Augmented matrix is…

Q: We are using the simple model for floating point representation which is a 14-bit format, 5 bits for…

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Q: (b) Z[x] (c) Z₁[x]. Be sure to explain the irreducibility of the factor(s) as element (s) of the…

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Q: 1. Consider the following system of linear equations. x₁ + 3x₂ + x3 = a −7₁ − 2x₂ + x3 = b |3x₁+7x2…

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Q: High-speed elevators function under two limitations: (1) the maximum magnitude of vertical…

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Q: (a) Suppose y is the set of all even functions in C[-1, 1]. Find the orthogonal complement y¹ of y…

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Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future…

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Q: How many 10-digit binary strings begin in 1 or end in 1?

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Q: Determine whether the following statements are True or False. (Select your answers from the dropdown…

A: False-    since we know that a graph can cross a horizontal asymptote but it can never cross the…

Q: How much more would you earn in the first investment than the second investment? $49,000 invested…

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Q: Suppose that in the year 1624, $35 was invested at a 4% compound interest rate, compound monthly. In…

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Q: Using separation of variables, solve the differential equation, Use C to represent the arbitrary…

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Q: The rooms in a house are adjacent as indicated in the following table. An '*' means they are…

A: Solution: Let us start coloring the graph from vertex K and then proceed sequentially. Let us color…

Q: Use the formula of the Laplace Transform to get the L [t^n]

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Q: 1. Describe and sketch the following sets of points defined by the following conditions. a. x² + (y…

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Q: Evaluate the following 1. V(x³8x²5x+1)

A: Given : fx=x3-8x2-5x+1 Evaluate : ∇x3-8x2-5x+1 Note : According to the guideline we are  suppose to…

Q: Are there any nonconstant polynomials in Z[x] that have multiplicativeinverses? Explain your answer.

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Q: (5) Let A be an mxn matrix. The row space of A, denoted rowspace(A), is the span of the row vectors…

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Q: lim (x,y) → (0, 0) √x²y² +1 -1 x² + y²

A: We have to show if the given limit exists or not. lim(x,y)→(0,0)x2y2+1-1x2+y2

Q: Max Z = x₁ - 2x2 subject to: X1 + 2x₂ <= 7

A: We solve this LP using graphical method.

Q: dy = sinx;y=1 when = dx 2 dy_cos x d.x = y dy (e) (1-x²)= y(1+x²); y = 1 when x=0 dx (c) e. (d) el…

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Q: In an integral domain, show that a and b are associates if and only if&lt;a&gt; = &lt;b&gt;.

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Q: 1. Suppose A is a 3x3 matrix. Suppose det A = 12 which are necessarily true ? a) AX-B has an…

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Q: Give an R. Examples. Justify your answers briefly. example of a countable infinite, sequentially…

A: In the metric space (R,d) where d(x,y)=|x-y| , any compact subset is sequentially compact.

Q: A business sells items according to the following Cost and Revenue functions:…

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Q: 5. Simplify the expression using a Pythagorean identity: 6. Simplify the expression using a…

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Q: Suppose that the polynomial 24 +49 is factorised into real irreducible factors. (That is, such that…

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Q: The solid part of the following graph of f(x)=(x-3)² shows how we can restrict the domain to obtain…

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Q: find an explicit solution of the given initial - value problem

A: First we separate the variables and then we will integrate both sides. Then we put the initial value…

Q: cos(x [1, 2]

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Q: What is the equation that represents the Volume of the box as a function of the cutsize of the box?…

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Q: The following table shows the results of a survey of authors by a fictitious publishing company…

A: Given that C: set of successful authors, U: set of unsuccessful authors, N: set of new authors and…

Q: (a) Solve the problem graphically. (b) Add slacks x3,c, x5 to place the model in standard form. (c)…

A: “Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: 2. Let G = GL(2, R). Prove that the following two subsets of GL(2, R) are subgroups of GL(2, R). (a)…

A: As per the policy we are solving first question only. Please repost the question and specify which…

Q: /. For all complex numbers z, z2+z³ = z²+z³ O True O False

A: Explanation of the answer is as follows

Q: You are analyzing your food intake. You consumed 2304 kilocalories yesterday and 39 grams of fat.…

A: Total intake of calorie = 2304 Kilocalories i.e., 2304000 calories Fat intake = 39g we know 1gram…

Q: 9. To calculate 201 – 88, a student writes the following equations: 88 + 2 = 90 + 10 = 100 + 100 =…

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Q: A body moves on a coordinate line such that it has a position s= f(t)=12-5t+4 on the interval 0…

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Q: Determine whether the function f is even, odd, or neither. f(x) = x² + 2x² even odd neither Sketch…

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Q: How would I prove (or disprove) the following: every onto function f: Z → Z also one to one? (where…

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Q: f(x)=x². [-9,1] Yes, the Mean Value Theorem can be applied. O No, because f is not continuous on the…

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Q: If ab is algebraic over F and b≠ 0, prove that a is algebraic over F(b).

A: It is given that ab is algebraic over F. then there is a minimal polynomial for ab over F. Let gx be…

Q: Solve: y' + 7y +9y' +9y=0 y(x)

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