1. Suppose that f: R→ R is convex. Show that 1 1 1 det (f(x) 5(4) 1 (2) 20 for all r

Q: 3. Determine the equation(s) of the vertical asymptote(s) of the function >= 0.9* 2x² - 31

A: Asymptote: ley y=f(x) be a curve. If for x=+b or x=-b we get y=0 ;Then x=b and x=-b are Verticle…

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Q: 1. Given f(x) = x + 1 and g(x) = x² + 3x + 2, determine a simplified equation for h(x) = f(x) +…

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Q: Consider the difference equation AP = 0.2P(1 - P/20). (a) Find the equilibrium values for the…

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Q: 1. Prove that if we colour the edges of K5 with 2 colours, red and green, so that the number of red…

A: According to the question,contradiction. Suppose you color the edges of ​ (the complete graph on 5…

Q: 3 y = √6-x², y = x/3, x = 2x Do not solve, just set up an integral. -2 -1 3 2 2

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Q: 5. Given the functions f(x) = x² - x and g(x) = x-1, determine an equation for the composite…

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Q: In each of Problems 4 through 9, find the general solution of the given differential equation. In…

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Q: Suppose you invest $4000 in an account that earns 7% simple interest annually. Use this information…

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Q: Find with (4) (ii) Solution of w = 2 U = 2 on An= 0 in 1x1 = a 1x1 = a (x/ > Q and in R W (x) > 0 U…

A: As per the question we are given the Laplace equation ∆u=0 on ℝ3∖{|x|≤a} and we have to solve it for…

Q: Consider the matrix below. A = 13 2 3 4 14y 0. 11x 8 15 10 0 12 (a.) What is the size of the matrix…

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Q: For the next 4 problems, use the following simplex tableau in which the first three columns…

A: In the given problem the table is given ,This is not the optimum table. If all the element in the…

Q: 25. Falling parachutist As in Problem 25 of Section 2.4, you bail out of a helicopter and…

A: Given information:Initial value problem: dvdt=32−1.6vInitial condition: v(0)=0Time interval:…

Q: In this problem, y = C₁ex + c₂ex is a two-parameter family of solutions of the second-order DE y" -…

A: We find value of c1 and c2 using initial conditions where two parameters family of solution is…

Q: consider all numbers of the form a+b√6 where a and b are rational. Does this collection satisfy the…

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Q: In a previous exercise, you were asked to model the following scenario with a directed network. A…

A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: Show that if preferences i are convex for each rº € X¹. strictly convex and continuous, then A¹(rº)…

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Q: Jacoblar Write the integral (u,v) trans rmat 2/x √x+1 dy dr y=1/x У al over a region in the…

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Q: 5. Convert the following 32-bit machine numbers to decimal (a) a = (b) b = (c) c = 1 0001010…

A: The 32-bit machine numbers are as follows:a) b) c) To Find:Convert the above number into a decimal…

Q: Use the given inverse of the coefficient matrix to solve the following system. 5x₁ + 2x₂ = - 4 - 6x₁…

A: (.)  Given,            and inverse of coefficient matrix,

Q: f(x) = tan(7x) - 6 1) It can be ensured that f has a zero on the interval 1 = [0, 0.48]. Explain…

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Q: 1. For A = 1 1 ] and x = [x₁ x₂]T E R², show that Vx (x¹ Ax) 2 Ax.

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Q: Which of the following is the negation of the statement VERY ENVz € Q (3x + 2y = z) - ·(x + y<z)

A: Given a statement ∀x∈R ∃y∈ℕ ∀z∈ℚ (3x+2y=z)→(x+y&lt;z) to find out the negation.

Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for…

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Q: Assumptions • In this text we assume a familiarity with the laws of basic algebra, which are listed…

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Q: Refer to the following preference schedule. First CDE Second E AB Third DBA Fourth BEC Fifth ACD 18…

A: Given that:The preference table schedule is given…

Q: 5. We will find the Green Function G(r, r') satisfying I 1(1+1) r2 d²2 G dr.² -G = 8(r — r'), where…

A: 5) Here consider associated homogeneous ODE Noted that its solution is of the form ,then it…

Q: LOT A = [ ₁ - 10 Let 1 D= 0 1 1 -1 1 Construct a 4x2 matrix D, using only 1 and 0 as entries, such…

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Q: Q5. Solve the following initial value problem. (D³ + -2D²-9D + 181)y = e²2 y (0) = 4.5 y'(0) = 8.8…

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Q: Prove the statement: Vaz E [0, 1), 3y € (0, 1) such that a + [Select] Thus, we have showed that

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Q: Prove that a group of order 45 is abelian.

A: We have to proof that a group of order 45 is abelian.

Q: a. Suppose g is continuously differentiable. Prove that f(x, y) = g(x + y) is supermodular if and…

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Q: The triangle is the most important polygon, because any polygon can be built from triangles. For…

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Q: Determine whether the property is true for all integers, true for no integers, or true for some…

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Q: 2.- a) find eigenvalue/eigenvalues and the corresponding eigenvector/eigenvectors of A. b) consider…

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Q: Find the kernel of the matrix [3 61 g] 8

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Q: Find the coefficients of complex exponential Fourier series for the function: 0 if x = [-pi, 0] sin…

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Q: The matrices and vectors listed in Eq. (3) are used in several of the exercises that follow. A = C =…

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Q: List all possible rational zeros for the function. I f(x) = 4x³ - 2x² +6x9

A: The given polynomial .The aim is to find all possible rational zeros for the function.

Q: 11. Given the functions f(x) = cos x and g(x)= √√ √√10+ x, determine the value of g(f(x)). 3 b. 9 c.…

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Q: 1. Determine an equation for the graph of the polynomial function shown. ✓✓ -2 2 2. Determine…

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Q: Recall that g is called a primitive root modulo p if the powers of g give all nonzero elements of…

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Q: (a) Provide a detailed sketch of the region defined by S={ki (2.-1) + k2(1,5)-2≤ k ≤ 1,0≤k₂ ≤ 4}.…

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Q: Think of a proof as a way to communicate a convincing argument for the truth of a mathematical…

A: We will prove that the quotient of any two rational numbers is rational number.

Q: In general, the zeros of a function f(x) appear on the graph of y = f(x) g(x) as a. x-intercepts b.…

A: 7. The zeros of a function apper on the graph of .8. The zeros of a function apper on the graph of…