Let x and y be unit vectors in R³ with ||xy||=12. Find the value of x. y. = 287/288 x.y =

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A: The series is given by:

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Q: Suppose that n is a positive integer with the properties: • for any integers a, b, c, • n is not…

A: Suppose that n is a positive integer with the properties:1). for any integers a, b, c    2). n is…

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Q: Let P(x) be a polynomial that interpolates f(x) at x; for i = 0, 1,...,l−1,1+1, ---, n (i.e.,…

A: Given Information:The polynomial  is a polynomial which interpolates  at ,  exclude .The polynomial…

Q: Below are attempts at u-substitution by students. Explain where each student went wrong, then…

A: Below are attempts at u-substitution by students. We have to explain where each student went wrong,…

Q: Consider the lamina in the shape of the triangle whose vertices are (0, 0), (L, 0), and (0,L) for…

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Q: Solve the matrix equation below: a) 2a NO 3 b 4-7d] b) Find 4A + B 2 = - [8, 1²] -9 [1 A = 6 13 L7 5…

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Q: The graph of y = 2x4 - 3x³ + 2x² + 5x + k, where k is a constant, is shown in this figure. Which of…

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Q: Consider a population that grows according to the recursive rule P = Pn-1 + 110, with initial…

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Q: Starting in the year 2012, the number of speeding tickets issued each year in Middletown is…

A: The rate at which the number of speeding tickets grow is 10%the recursive formula is given as here…

Q: Solve the system by using elementary row operations on the equations. Follow the systematic…

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Q: A population grows according to an exponential growth model. The initial population is Po = 17, and…

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Q: E. Let H be the set of all points (x, y) in R² such that x² + 3y² = 12. Show that H is a closed…

A: We have to find H is closed  subset bounded.

Q: Determine whether the statement below is true or false. Justify the answer. A5x6 matrix has six…

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Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

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Q: 4. If g(x+2) = f(x-7) and if point A(4, -1) is on g(x), then a. Find a point A' on f(2x) b. a…

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Q: Use Euler's method with n= 5 to estimate y(0.5), where y(t) is the solution of the initial-value…

A: Disclaimer: I have replaced the variable 't' with 'x' for the sake of convenience of notation.

Q: Suppose k that n, k are positive integers, both greater than 1 such that n is prime 000000 n is an…

A: We have to find the true statements.

Q: Given a metric space M with metric d, verify that any e-ball is an open set.

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Q: b) Calculate the Laplace transform of the piecewise function in figure 1. f(t) 2 0 0 1 2 3 Figure 1…

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Q: Let A = -3 and b = [b₁] b2 [b3 2 −1 -8 have a solution for all possible b, and describe the set of…

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Q: 9. [Using Geogebra:] The altitude (in feet) attained by a model rocket t seconds into flight is…

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Q: y'-2y=4-t

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Q: Give an example of an infinite number of open sets whose intersection is a single point

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Q: Let f(x) = √34+x, a = 2, and Ax = 0.1. Estimate Af using the Linear Approximation and use a…

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Q: For each of the following two proofs, outline the proof and fill in any details that will make the…

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Q: Directions: Determine whether the following integral is divergent or convergent. • If it is…

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Q: to Repler's first law, a comet should have an elliptic, parabolic, or hyperbolic orbit (with…

A: Firstly substitute the value for the first two tables :So,   gives us the relation : Hence, the…

Q: Let (X, || ||x) and (Y, ||- ||y) be the normed spaces. Let XOY := {(x, y): xe X;y ≤ Y} denote the…

A: We know that a norm  on a vector space  is a real valued function on , which has following…

Q: Consider the graph M given in Figure Q2. & Figure Q2: graph M Construct a 4-regular simple graph…

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Q: Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use -∞o and ∞o…

A: In this question, we will find the end behaviour.

Q: Problem 9. First write the augmented matrix of the following system. Perform row operations on the…

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Q: y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' + 2xy² = 0. Find a…

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Q: Identify all the cluster points and  limit points of the following set   the open interval (2, 5)

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Q: Use the Midpoint Rule to approximate the following definite integral using n = ces in your answer…

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Q: 3) #36) Hint: {[a,b): a <b} then the Borel o-algebra this complete the pr

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Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x (t), whose…

A: point of inflection at the position  mean  that is that point changes it's concavity around the…

Q: Solve the following LP Maximize $4x + $3y  Subject to            2x + 4y ≤ 80…

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Q: Pay attention to the assumptions of each statement and select all statements that are correct. There…

A: The first statement is correctfor  a=2 we get

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Q: Proposition 9: Every nonempty open set is the disjoint union of a countable collection of open…

A: To prove that if Θ is a closed set expressed as the disjoint countable union of open intervals…

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Q: The prime factorization of the number contains the factor 3€ for some nonnegative integer e. Enter e…

A: We want to find the number of  3's that appear in the prime factorization of  1667!…