Graph the f(x) = piecewise function.domarn +x+2/ ; x< -2 3 (x+2) ² ← piece of V-shape ; x = -2 ← point (-2,3) ; x > -2 ← piece of parabola

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 19…

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Q: Calculate the total worth of an investment after 7 months with a principal of $14,400 at an interest…

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Q: 1. Show that the following functions are convex by verifying the definition, i.e., that f(x +…

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Q: 1/1², t> 1 2. If L[f(t)] = F(s) and c is any positive constant, show that L[f(ct)] = F(s/c)/c.…

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Q: Problem #7: Suppose that u, v, and w are vectors such that = 3₂ = −5, = 4, ||u|| = 1, ||v|| = 8,…

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Q: 3. Solve the system of congruences Show the steps used. 3x = 2 7x3 8x 7 mod 7 mod 11 mod 19.

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Q: The table to the right categorizes 25 senators as to political party and gender. One member is…

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Q: b. C. d. Find the linear approximation of the function f(x) = √25-x at a = 0 and use it to…

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Q: 3. Solve the system of congruences Show the steps used. 3x = 2 7x 3 8x7 mod 7 mod 11 mod 19.

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Q: Determine the completely factored form of Ax)-x³ +5x²-x-5. O a) (x+5)(x² + 1) b) (x+5)(x+1)(x-1) c)…

A: Determine the completely factored form of f(x) = x^(3) + 5 x^(2) - x -5

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A: Using seperation of variables method:Let u(x,t)=X(x)T(t)From the conditions :u(0,t)=u(1,t)⇒…

Q: Problem #1: Let Problem #1(a): A = Problem #1(b): 5 0 1 4 -6 0 (a) Find the characteristic…

A: To find eigenvalues and corresponding eigen vector.

Q: Let f(x) := x² for x∊R, and let E := {x∊R : -1≤x≤0} and F := {x∊R : 0≤x≤1}. Find the sets E\F and…

A: Given, f(x) := x² for x∊ R,  E := {x∊ R : -1≤x≤0} and F := {x∊ R : 0≤x≤1}.

Q: Sketch the region enclosed by 2y = 3√x, y = 3, and 2y + 3x = 6. Decide whether to integrate with…

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Q: Problem #5: Consider the following five statements about similar matrices. (1) If A and B are…

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Q: Match the second order linear equations with the Wronskian of (one of) their fundamental solution…

A: Since you have posted multiple subpart questions, we will solve the first three subpart for you. If…

Q: For u, v, and w given in Exercises 1-3, calculate u 2v, u - (2v - 3w), and -2u - v + 3w. 1. In the…

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

Q: Problem #1: Let A = 9 0 1 2 -11 -2 0 0 -3 (a) Find the characteristic polynomial of A. (b) Find the…

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Q: d²x dt² solve for x. 2 + w³²x = F sin wt

A: Given differential equation isd2X/dt2  + w2X = F0 sinwt

Q: 3. 4. sin n √n √√n² + 2 n² + n-n

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Q: We have seen that for every odd prime p the quadratic congruence ²-1=0 (mod p) has exactly two…

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A: The given vectors .The aim is to find the basis for the orthogonal complement of the subspace of…

Q: Consider the matrix A given below. . . A = Determine if x = 0 -1 0 1 0 6 2 3 5 10 -10 - -6 is an…

A: Consider the matrix A given below.A = [[0, - 1, 0], [- 6, 1, 0], [6, 2, 3]]Determine if x = [[5],…

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A: Given that  is a field.Then is abelian group under addition and  is abelian group under…

Q: Find the approximations Tn. Mn, and S, for n = 6 and 12. Then compute the corresponding errors ET,…

A: Thus, the integral value is 36.Let us assume..

Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

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Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

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Q: Let A || 9 3 -13 -4 0 0 -5 (a) Find the characteristic polynomial of A. (b) Find the two eigenvalues…

A: In this question, we will find the eigen values and eigen vector.

Q: 3n²+ 2n 32 (a) n² - 11 (b) (7) Hint: 4" = (2¹)²

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Q: Determine the simple Interest Rate applied to a Principle of $100,250 over 10 years if the total…

A: We have to determine the simple interest rate applied to a principal of $100,250 over 10 years if…

Q: Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace W-spand W = span{ a.…

A: We need to find two elements X and Y.

Q: Find a formula for the nth partial sum of the telescoping series below and use it to determine if…

A: We find Nth partial sum of this series

Q: Identify the coefficient of x Equation 4 5 x+5 3x + 4y 3 1 3 4

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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…

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Q: 5. Consider X with the discrete metric. (a) Show that every subset of X is open and closed. (b) Show…

A: Consider X with the discrete metric. (a) Show that every subset of X is open and closed. (b) Show…

Q: Let L₁ be the line passing through the points Q₁=(4, -2,-4) and Q₂=(3, 1, -7) and let L₂ be the line…

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Q: 5. Marc is asked to simplify the expression √3-√75. He says that since the radical you -------- ----…

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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: a. Find f'(-2) and f"(-2) b. At which value(s) of x does f(x) have a relative extremum on [2,6]?…

A: f' (-2) = 1f'' (-2) = -(1/2)

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A: Let us consider the polar curve, .(a)Find the all values of  such that .Further,It implies that the…

Q: For the system of differential equations (D+1)x + (D-1)y = 2 3x + (D+2)y = -1 solution for y(t). 9.…

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Q: list the days during the next 60 days on which megan and michele will see each other in city b

A: Given that:-Megan flies a 21 day schedule( including days off) which then repeats.Michele has a 30…

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: A graph of -x³+4x²-3x-18 is shown. Use the graph to solve x² + 4x²-3x-1820. YA 20 -A 10 x³+4x²² 3-18…

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Q: 3y"-Gy'+6y by = = e sec x

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Q: Find all the zeros. Write the answer in exact form. 4 q (x) = 2x² - 7x² + 3x² +8x-4 If there is more…

A: In this question we will find the zeros of the polynomial.

Q: The table shows the cost, C'(g), and revenue, R(q), in terms of quantity, q. Estimate the marginal…

A: The given table shows the cost, C(q), and revenue, R(q), in terms of quantity, q. Estimate the…

Q: Let S := a + √2 b + √2 : a, b EN Prove that S is countably infinite.

A: To prove that the set S defined as S={a+2b+2|a,b∈N} is countably infinite, need to establish a…