In Exercises 1-6, determine which sets of vectors are orthogonal. 2 5. 4 2 2 1. 2. 2 2 3 6. 3. -2 4. 3

Q: A(4,-2), B(1,2) find an equation for the paralle

A: Given,                A4, -2, B1, 2

Q: Consider the polynomial f(t) given by [2 t 5 2] 1 3 4 1 3 f(t) = det 6 t t 2 3 3 1 4 2 3 7 3 4 t 3…

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Q: Consider the graph of f' (x) shown below in blue. Submit your answer to this question by completing…

A: f(x) has local minimum at x = a if, f'(a) = 0f'(x) < 0 for x < a and f'(x) > 0 for  x >…

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A: With watch It now, Marshall is paying $22.50 for three months means he will pay again $22.50 for…

Q: 1. The market demand for economics books is: QD = 100P –0.5/0.5 where Q is quantity, P is price, and…

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Q: Use the Euler's method to obtain a four-decimal approximation of the indicated value. Use h = 0.1.…

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Q: No decimal answer. Reduce fractions. No radicals left in the denominator. 1) Find all six trig…

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Q: Let p and q be the propositions "It is rainy" and "We go to the movies," respectively. Which of the…

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Q: Let f : [0, 1] → R be a continuous function. Show that the sequence of functions 1 fn (x) = ,x +1 +…

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Q: Consider the following IVP: Consider the following IVP: y' +y = e2* ; y(0) = 0 y" + y' = -cos x;…

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Q: (see above) 7(x) to have a domain of {1, 2, 3} and a c O surjective O injective O bijective O total

A: Introduction: A function f from A to B assigns exactly one element of B to each element of A. (A and…

Q: In Exercises 47–52, assume that A and B are n × n matrices with det A = 3 and det B = -2. Find the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: f(x) = an(x – c)" n=0 has radius of convergence R > 0, then f is infinitely differentiable in |r –…

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Q: Use the sinking fund formula determine the payment needed to reach the accumulated amount. To ensure…

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Q: r = 3sine b) r = sin30 c) r= |3D r = cos20 f) r = 0 g) r = r = 1.5 – 1.5cos0 i) r:

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Find a non-zero 2 × 2 matrix A such that A2 = A =

A: We have to find a A matrix of 2x2 such that, A2  = 0000  So let suppose a matrix    Satisfy the…

Q: Which of the following graphs is the level set of 4y F(x, y) = corresponding to z=-1? (A) (B) -3 -2…

A: Level set of the function

Q: Let's A and B be two sets, and A - B = Ø.

A: Given, A and B be two sets, and A-B=ϕ

Q: y purchases phones for $280.50 each and is selling them for $330.00 each.  a. What is the rate of…

A: Given that Ivy purchases phones for $280.50 each and are selling them for $330.00 each.

Q: Problem #1. Your cousin purchased a refrigerator at Costco for $864.99 The delivery charge was…

A: (a)  the amount of the sales tax on the refrigerator will be given by: Sales tax = Selling…

Q: 2.x if 0<r<7/2 2. Find the Fourier series of f(x)=| f(x+7)= f(x). if 7/2 <x <T

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Q: Archimedes​ (287-212 B.C.​), ​inventor, military​ engineer, physicist, and the greatest…

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Q: (c) You are advised that the relationship between unit price p, and the quantity q is dp given by…

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Q: w + x + y + z = 13 2w + 3x - z =- 1 3w + 4x + y + 2z = 10 w + 2x - y + z = 1

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Q: Solve the following ODE using Laplace transforms, z" - 8x' + 7x =t5(t-4)where z(0) = 0 and a' (0) =…

A: ,where x(0)=0 and x'(0)=16.....(2)

Q: Evaluate the integral. * dx Inx O a. 1 а. b.4 C. 1 4 d. 1 4 e. divergent 1/2

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Q: Let p and q be the propositions "It is rainy" and "We go to the movies," respectively. Which of the…

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Q: 1 2 3 4 5 6 y 0.5 2.5 2.0 4.0 3.5 6.0 a. Fit a linear regression equation b. Compute for r

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Q: B. Construct the mathematical statement of the following. (8-14) •P = "JR comes to the party" •Q =…

A: "CK comes to the party if and only if KL comes and JR doesn't come."

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: 7s? + 72s + 180 Consider the function F(s) = (s + 5)(s² + 12s + 40) Find the partial fraction…

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Q: Solve the following word problems  Compound Interest Obtain the accumulated value of 100,000 after…

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Q: • v2 = (,- : Let W be the subspace of R* spanned by the vectors (1, 0, 1, 0), u2 (0, —1, 1, 0), and…

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Q: Find the Fourier series of the given function f (x), which is assumed to have the period 2Tt. Show…

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Q: In this question, you are asked to comment on a student's attempt at answering the question detailed…

A: This is a simple application based problem where I used congruence properties and trigonometrical…

Q: Proof of CRT ( for two modi) We must prove that f: Zm,m - Zm,x Zm given by is a bijedion. Proof O…

A: Given: The function, f:ℤm1m2→ℤm1×ℤm2 defined by fxm1m2=xm1,xm2.   To prove: The given function is a…

Q: Let vi = (5, 1, 0, –1), v2 = (0, 1, 5, 1), and b = (1, 7, –1, –1). Let W be the subspace or R“…

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Q: Define g(x) to have a domain of {1, 2, 3} and a codomain of N. Which of the following properties…

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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Q: 9. Which of the following subsets of the space of real valued functions on R are vector spaces?…

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Q: 1. Use the following information provided to answer the questions and sketch and accurate graph of…

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Q: C' (t) = (20t + 28) /2.5t² + 7t, for 0 <t < 15, %3D

A: Solution

Q: Which of the following is the general solution to the differential equation (x +y-1)dx + (3x + 4y-…

A: First order linear differential equation

Q: 1. Let L: R³ → R² be the linear (matrix) transformation L = TA defined by 1 -1 2] 3 -6 A = (a) Find…

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Q: (a) Find a transformation which removes the zy term in z+zy+y = 16 and (b) give a geometrie…

A: To remove the product, there needs a rotation of axes about the origin.

Q: 1. 7,7,7,7,7,... 2. 3,–3,3,-3,3,... 3. 1,5,2, 10,3,15,... 4. 1,2,4,8,16,32,... 5. 1,4,9,16,…

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Q: Laura and Martin obtain a 25-year, $120,000 conventional mortgage at 10.5% on a house selling for…

A: The total amount that Laura and Martin will pay to house is, Given n=25 year =300 months Monthly…

Q: Given the set S:= {2"5" : m, n E Z}. Does the set S together with multiplication form a group?…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the sum of the x-intercept, y-intercept, and z-intercept of any tangent plane to the surface…

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Q: In Exercises 21-22, find || U || and d(U,V) relative to the standard inner product on M22. [3 V = 4…

A: Solution