Q1:- Calculate sin(π/4+i)

Q: MovieFlix - Advertising and Subscriptions Year  Advertising Expenditure       $ 000   Membership…

A: Year Advertising Expenditure(X)  Membership Subscriptions(Y)      $ 0002013…

Q: Question 2. Our goal is to prove that f(x) = x + e* has exactly one root (i.e. f(x) = 0 for exactly…

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Q: 1st≤2: r= r = (2-1) (1,1,1)+ (1-1)(2,3,4)= (2-1 + 21− 2)i + (2−1+31 −3)j+ (2−1+ 41 − =ti+(2t-1)j +…

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Q: 16) The amount of $15,700 is deposited into a CD account for 8 years with simple interest. At the…

A: To find the interest rate for a deposit with simple interest, you can use the formula:Simple…

Q: Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. 4 4 ✓1.S=…

A: As per our company guidelines we are advised to solve only the first question. Kindly repost the…

Q: Find a basis for the orthogonal complement of the subspace of Rª spanned by the following vectors.…

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Q: Mark the following either true or false. Justification is required. A matrix is invertible if and…

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Q: Find an equation of the tangent line to the curve (a lemniscate) at the point (3, -1). 2(x² + y²)² =…

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Q: Which of the following is the fully factored form of x3 + 3x² - x - 3? O a) (x+3)(x² - 1) b) x²(x +…

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Q: If f is a bijection of A onto B, show that f-1 is a bijection of B onto A.

A: Since  is a bijection from  onto , the inverse  is a bijection from .

Q: Let P(x, π) be the joint probability of an observed sequence x and a state sequence 7. We define the…

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Q: Use the eighteen rules of inference to derive the conclusions of the symbolized argument below. N P…

A: Given an argument. The objective is to prove it.

Q: find the general solution by finding the homogeneous solution and a particular solution.

A: 17. Given that the differential equation is                                               To find…

Q: Determine whether the reasoning is an example of deductive or inductive reasoning. If the mechanic…

A: The given statement, "If the mechanic says that it will take seven days to repair your SUV, then it…

Q: Let f(x) := x² for x∊R, and let E := {x∊R : -1≤x≤0} and F := {x∊R : 0≤x≤1}. Show that E∩F = {0} and…

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Q: 1.6 Answer the following questions in full a) Classify (identify) all the singularities of the…

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Q: 3.2: Markov Chains are Proper Probabilistic Models Show that the sum of the probabilities over all…

A: To show that the sum of the probabilities over all possible sequences of any length is 1, which…

Q: part (b), why is it equal to 0?

A: We have find  why part b is equal to 0

Q: 11. a) U₁₁ A₁ Let A₁ = {i,i+1,i+2,...} for i=1,2,3,.... Find b) Ai

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Q: Mr. and Mrs. Dunn have just purchased a $150000 house and made a down payment of $19000. They can…

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Q: Reverse the order of integration and evaluate the following integral. Enter an exact answer…

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Q: Problem 1 Consider the four letters a, b, c, d. Part A Write down 6 permutations of these letters.…

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Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

A: Given that .The objective is to express the matrix  as a product of elementary matrices.

Q: 1. A car travels at a constant speed and burns g(x) liters of gas per kilometer, where x is the…

A: 1. Given that a car travels at a constant speed and burns g(x) liters of gas per kilometer,…

Q: Question 2. Find the limit lim (x,y) (0,0) 2¹+ y² + ys

A: Q2: we have to find out  if exists.we claim that Now using A.MG.M  , so we get  ,but So we get Now…

Q: Find the maximum value of f(x,y) = 31-x² - y² on the line x + 5y = 26.

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Q: Let de(x, y) := |x — y|, d₁(x,y) := for x,y E R. Show that (a) d₁ is a metric on R; (b) dẼ and d₁…

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Q: Problem #8: Let R4 have the Euclidean inner product. Find a unit vector with a positive first…

A: .

Q: 14) consider a CD paying a 4.65 % APR compounded continuously. Find the Future Value o the CD if you…

A: Given that:A CD paying a 4.65 % APR compounded continuously.We have to find the Future Value of the…

Q: The trace of a square n x n matrix A = (aj) is the sum a₁1 + a22 + ... +ann of the entries on its…

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Q: In Exercises 15-20, W is a subspace of R4 consisting of vectors of the form X = XI X2 X3 X4…

A: As per our company guidelines we are advised to solve only the first question. Kindly repost the…

Q: A business owner is monitoring the production cost of making laptop computers. It costs $5,000 to…

A: Initially, the production cost starts at $5,000 (the startup cost).As the number of computers…

Q: Graph the conic section. Identify the vertices, foci, directrices, and asymptotes. Use a graphing…

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Q: Let u4 be a linear combination of {u₁, U₂, U3}. Select the best statement. OA. We only know that…

A: In linear algebra if set A .

Q: Use determinants to find out if the matrix A is invertible. As part of your answer, clearly state…

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Q: Consider the nonlinear optimization model stated below. Min 2x² 18x + 2XY+Y² - 14Y + 55 X + 4Y ≤ 8…

A: Given Information:The function is provided as follows:Subject to To find:a) The minimum solutionb)…

Q: In Exercises 15-20, W is a subspace of R4 consisting of vectors of the form X = X1 X2 X3 15. x₁ -…

A: We are sorry. our company allows us only to solve one question at a time. Kindly repost the other…

Q: Let λ be an eigenvalue of invertible matrix A. Prove that exists and is an eigenvalue of A-¹. What…

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Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h…

A: The domain is the collection of points where the function is defined. For this, we need to check the…

Q: Let f : D → R be continuous at c ∈ D and suppose that f(c) > 0. Prove that there exists an α > 0 and…

A: To prove this statement, we can use the definition of continuity.

Q: Which of the following subsets of R3X3 are subspaces of R³×³? A. The invertible 3 x 3 matrices B.…

A: Since you have posted multiple sub part questions, we will answer the first three sub parts for you,…

Q: 13. Using Newton-Raphson method solve x log10 x = 12.34 with co = = 10. O

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Q: Find the arc length s of the vector function r(t) = 11 cos³ (t)i + 11 sin³ (†)j + k from t = 0 to t…

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Q: A system of two 3000 L holding tanks is set up with a pipe bringing water to the first tank, another…

A: As per the question, there are two L holding tanks with water flow and salt dissolution.Our…

Q: Problem 1 Consider the set A of all strings of letters a- ● dcbac eba fe aba fa ● ● f of length 5.…

A: According to guidelines we can solve only first three subparts.

Q: Which statement isnt and can never be true? MA Sinx = COS X B COSX = 0944 sinx + cosx = tan x So 0 -…

A: We choose a statement which can never be true.

Q: Problem #3: Consider the following matrix A (whose 2nd and 3rd rows are not given), and vector x. 2…

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Q: Question 6. For f(x, y, z) = ln(y)er² sin(y) + sin

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Q: @ © Find the particular solution for y² + 4y = 3 (Sc (²x) at 3 (SC(2x) at y(0)=1 & yo = -6

A: (.) Given equation is,           (.) Method of wronskian: For the solution of differential equation…

Q: Use the eighteen rules of inference to derive the conclusions of the symbolized argument below. B D…

A: The objective is to prove the given argument using rules of inference.