5. Given two vectors = 2 (3¹)³= (1). 0 these vectors. , compute a unit vector that is perpendicular to both of

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Q: Find an orthogonal basis of the column space of the following matrix: 1 -5 6 4 -1 A = -4 -1 -13 9 2…

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Q: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

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Q: Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = x4 +…

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Q: Let f,g: RR be differentiable everywhere. Assume that g is one-to-one function. Show that f(g(x…

A: Let f,g: R → R be differentiable everywhere. Assume that g is one-to-one function. We have to show…

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Q: Given the graphs of polar equations: r = 1 and r = -2 sin 0, (a) Set up the integral that gives the…

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Q: 2. Find a primitive root modulo 41.

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A: We have to Compute ind2 (27) modulo 101.

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Q: B = = v= -6 3 6 109 1 -37 -20 -2 -2 -2 1 2 is an orthogonal basis of Rª. Find [v] Fo

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Q: prove that 11 ㅣㅣㅣㅣ 리 ZtZ3 < 1211 12월 18

A: For complex numbers z2,z3 with

Q: Solve the linear second-order non-homogeneous differential equation with the given initial…

A: The objective of this question is to solve the given second-order non-homogeneous differential…

Q: A particle is moving with acceleration a(t) = 6t + 18. its position at time t = 0 is s(0) = 3 and…

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Q: 6. Suppose that the function f: X→ Y is a one to one and onto, with inverse ¹Y → X. Show that fof=1,…

A: The given function f is a one to one and onto function The detailed solution of this problem is…

Q: Approximate proju and projw. -8 -7 -6 -5 -4 -3 -2 -1 proj u 5.491 projw 4.801 = vector u vector w -5…

A: Given thatWe have to approximate Projwu and Projuw.We know that

Q: Using residues, where a > 0 evaluate the integral x sin ax cos ax x² +9 dx

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Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

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Q: Question 16 Determine the coordinates of the preimage given the image below and the composition of a…

A: From the given image, we observe that coordinates of image are :(5,2),(-2,5),(-3,1).We have to find…

Q: Suppose X CR, a E X', f, g: X → R, lim f(x) = L, and lim g(x) = M. Use the x-a x-a definition of…

A: Suppose   that    be two  functions.Let and We  have  to  prove  using  definition  of  limit that…

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Q: 1. Consider the sets D = { // : n € J}, E = DU{0}. (a) Really quick: complete the definitions - (a)…

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Q: Given the graph of g(x), sketch the graph y=f(2x+2)-3.

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Q: Which of the following is the best estimate of f f(x)dx where f(x) is given in the figure below? (x)…

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Q: 370 The marginal profit function for a company is given by P'(x) = √x - 5. Estimate the change in…

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Q: For this problem, let f: RR be a function. We say that a non-empty set UCR is ajar if Vu €U, 3r >0…

A: A non empty set U subset of R is called ajar if for all u belongs to U there exists a r&gt;0 such…

Q: Consider the basic feasible solution of a transportation problem given below: 14 12 10 13 True False…

A: A basic feasible solution of a transportion problem is said to be an optimal solution if it…

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Q: Particular values of the marginal cost function of Kuddly Kites, a company that sells kites shaped…

A: Particular values of the marginal cost function of Kuddly Kites, a company that sells kites shaped…

Q: Particular values for the function f(x) are given in the table below. X f(x) 9 18 Use the table to…

A: 918273645-9-15-20-19-6We hae to find:(a) a right-hand Riemann sum(b) a lift-hand Riemann sum

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Q: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

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Q: Consider the following functions. f₁₁f₂ R² OR + S₁ (x₁, x₂) = x² sin(x₂) + X₂ exp(x₁) 12 (X₁1×₂) =…

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Q: When a 3 kg mass is attached to a spring whose constant is 147 N/m, it comes to rest in the…

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Q: 2. Simplify the following: a) 2 106² +42b + 36 6b²-2b-60 ÷ 40b + 48 36² - 13b + 10 √/54x²y³ √5x³y²

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Q: 5. (a) Show that logi() = log M — log N₁ where M, N>0 and b>0 and b ‡ 1. log, M where M>0, b>0, c>0…

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Q: The inverse Laplace transform of 28² +238-97 (s + 4) (s² 14s +85)' is: - peat + qeßt cos(wt) + reßt…

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Q: A=[pi 0 0 0][0 pi 0 0][0 0 pi 0][154 0 0 pi] find the eigenvalues of A

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Q: 127 (68) -100 -4 23 B = v= 27 is an orthogonal basis of R³. Find [v]⁄·

A: (.) Given orthogonal basis is,           and  vector (.) Orthogonal basis: A basis  is called an…

Q: it If p(x)=2x²-3x+5, what is the remainder of p(x)+(x-5)? A) -230 B) 0 40 240

A: We, use division algorithm to find remainder.

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Q: A 10-foot ladder leans against the side of a wall forming an angle with the ground. Given that the…

A: Here we use the rate of pull and the angel relationship to the sides of the wall.

Q: Modeling The following tank mixing problem was on our previous homework: pure water 3 gal/min…

A: After t minutes of process, let A(t) and B(t) be the amount of salt in tank A and tank B…

Q: A graduating college student owes $30,775 for a student loan. The loan charges an APR of 5.5%. What…

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