A company needs a new mechanical device. Compute the present worth for these mutually exclusive alternatives. Identify which you would recommend and why for given i-10% per year. The company uses 8-year planning horizon. Initial Cost Annual Costs Salvage Value Life Alternative A $4000 $500 $1000 4 years Alternative B $5000 $600 $500 8 year

Q: 6. Solve this Exact Diff. Equation: (3y² +10.xy2)dx+(6xy-2+10x²y)dy=0

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Q: a.) 4xy" + 3x³y'-7x = sin(2x)e²x b.) 5xy+3 dy dx = 2e¹¹

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Q: Find the Annihilator of the given function(s) f(x)=x+xcos(2x) a. D²(D²+4) b. D²(D²+4)² C. D(D²+4) d.…

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Q: 12. : R³ → R², 7(e₁) = (1,3), 7(e₂) = (4,2), and 7(e) = (-5, 4), where e₁,e2, e3 are the columns of…

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Q: v(z) = f(f(x)). Find .' (1) (2) =.' (3) 4:0 -1/2 DNE -1/2 The graph of g(z) is blue

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Q: 1-2 Find the domain of the vector function. 1. r(t) = (10(1 In(t + 1), t - 2:21

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Q: Modulo Rules. Find the remainders. 15 a = 7¹5 b= 5 Answer 5 ; 3

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A: Let us suppose that the given place is at the origin i.e., at the point O0,0. The pictorial…

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A: Given investment amount  PMT=$ 2100Interest rate r=3.80%=3.80100=0.038Compounded semi annually  m=2…

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Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

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Q: Evaluate the given expression. Take A 000 0-2 2 0 2 1 3A +0.5C ↓↑ and C= -1

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Q: determine the general solution to the system x′= Ax for the given matrix A

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Q: Solve the Bernoulli IVP, x²y' - 2xy = 3y¹, y (1) NIT 2

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Q: II. Using Transform of Integral 1 a.) F(s) = s² (S-1)²

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Q: 5) Prove that, for any set X, there does not exist a surjective (onto) mapping from X to P (X).…

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Q: Show algebraically that the following equation is valid A.B.C.D' + (A' + B.C).(A + C'.D') +…

A: We need to show algebraically that A'.B.C'.D' + (A' + B.C).(A + C'D') + B.C'.D + A'BC' = A.B.C.D +…

Q: Exercise 51. Is there a square matrix X with real entries such that det(X¹X) = -3?

A: detXTX=-3 X is a square matrix with real entries.

Q: (a) lim f(x) x--2 (b) lim f(x) x--1+ lim f(x) x--1- (d) lim f(x) (f) (e) (-1) lim f(x) X-+00

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Q: A particular solution of x²y'- x(x + 2)y' + (x + 2)y=2x³, x>0, y₁(x)=x, V₂(x) = xex

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Q: Consider the differential equation x²y" - 6xy' +12y = 0; x³, x4, (0, ∞). Verify that the given…

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Q: True or false: if U is a plane through the origin in R³ then the orthogonal complement U+ (with…

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Q: Find the following. (Use the True Annual Interest Rate (APR) table. Round your answers to the…

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Q: Task 4: Let A = 1 0 0 0 3 1 03 09 302, 1 2 -5 Find an invertible matrix T and a diagonal matrix D…

A: It is the given question

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Q: 4-1) describe the possible echelon forms of the matrix. (a) A is a 3x3 matrix with linearly…

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Q: 2. dy = y[sinx + ln (yecosx)]dx (Suggested Subst.)

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Q: Let F: R³ → R4 be the linear transformation that satisfies 2 2 1 -0-0-0-0-0-0 F1 = 2 F = 1 1 -2 1 F1…

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Q: Modulo Rules. Find the remainders a = 222; b = 13 Answer 1310

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Q: A candy company has 195 kg of chocolate-covered nuts and 105 kg of chocolate-covered raisins to be…

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Q: Use the arc length formula to find the length of the curve y = 5-4x,-1 sxs 4. Check your answer by…

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Q: 5. (a) Compute the sine series for f(x) = et on [0, 7]. You may use an integral calculator, but be…

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Q: Determine a best rank-1 approximation, A₁, to the matrix A with respect to the 2-norm. That is, find…

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Q: Given log_(b)2=x and log_(b)3=y, express in terms of x and y, log_(b)18

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Q: Problem 1: Let n > 1 be an integer with the property that whenever n divides the product ab of two…

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Q: Exercise 6 Find a (real) general solution. Show each step of your w y" + 3y + 2y = 12x²

A: We will find general solution.

Q: b) Give an easy alternative proof of the Bolzano-Weierstrass Theorem.

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Q: What is the probability of rolling at least one odd number or rolling a sum of 10 using two number…

A: we need to find probability of rolling at least one odd number or rolling a sum of 10 under given…