List all the elements of the following set. Use set notation and the listing method to describe the set. The set of all whole numbers greater than 8 and less than 14. Express the set using set notation and the listing method. (Use a comma to separate answers as needed. Use ascending order.)

Q: Legend has it that the great mathematician Carl Friedrich Gauss (1777-1855) at a very young age was…

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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: Consider the following tableau for a particular Linear Program (LP) being solved using the M-Method:…

A: Given Information:Tabuleau for particular LPP using big M method is given as…

Q: It is not always possible to construct by ruler and compass, a square equal in area to the area

A: We have to show that It is not always possible to construct by ruler and compass, a square equal in…

Q: #3. Evaluate the triple integral to a number answer: fg (22) dV where E is the solid defined by E =…

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Q: 11. Let f(x) =xCOS X. a) Apply two iterations of the Bisection method to f(x) = 0. Start with x(0) =…

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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: Consider the graph of y = f(x), shown below. 5- 3 2 1 -5 -4 -3 -2 -1 H 13 -4 1 2 4 The maximum…

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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: For the given values of n and r, evaluate (a) n! (n-r)! and (b) - n! (a) When n = 13 and r = 6, -0.…

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Q: In a singular value decomposition of matrix A - V = 0.5 -0.71 0.41 -0.5 -0.5 0.5 U = 0.0 0.0 0.82…

A: The singular value decomposition of a matrix A of order m×n is defined as A=UΣVT , where U is a m×m…

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

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

Q: 2. Show that the following functions are convex by verifying the condition that V² f(x) > 0 is…

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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: 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: c. sin 2x = 2 tan x 1+tan² x d. 2 cos x cos 2x+1 = sec x

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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: 10+ 8 6 4 2 -6 -5 -4 3 -2 -1 -2 -4 -6 -8 -10+ 1 2 3 4 5 6 The function graphed above is: Concave up…

A: A point of inflection of the graph of a function f is a point where the second derivative…

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

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Q: C . Use the angle sum relationship to show sin 30 = 3 sin 0-4 sin³0. ● B D Suppose AB is the arc of…

A: According to guidelines we can do only first three sub parts thank youUse the angle sum relationship…

Q: y" + 3y - 4y = 6e²t-3, y(1.5) = 4, y'(1.5) = 5

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Q: ind the coordinate vector [x]g of x relative to the given basis B= (by, by by) b₁ = -1,b₂ = -4 -3 2…

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

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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

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Q: Determine the value of k so that 3x - 1 is a factor of 3x³ + 8x² + kx-2. a) k = 3 b) k = 1 c) k=-1…

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Q: part d) Use T3(t) to approximate the value of d(10 + b/6 ). (Round your answer to two decimal…

A: We have to find the approximate value of the function  using the function where .Here,  is the third…

Q: 2. Write a proper L.S. R.S. proof for each of the following trigonometric relations. a. cos²x+cot² x…

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Q: So what does x=? What is the solution??

A: The values of x that give profit of $300 are 60 and 20.

Q: dy Solve the given differential equation by using an appropriate substitution. The DE is of the form…

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Q: Assume all matrices are invertible. Note that c cannot exist by itself in a matrix equation. Solve…

A: Given, all matrix are invertible.XA = cX + IAlso c can't exist by itself in a matrix equation.

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

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Q: 2. Recall that a number m is said to be square free if ď² | m for d≥ 1 implies that d = 1.…

A: The idea is to carefully apply the Chinese Remainder Theorem.

Q: Use the graphs to evaluate the expressions below. (Photo) f(g(5)) = g(f(1)) = f(f(3)) = g(g(2))…

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Q: Don has nine pairs of shoes, seven pairs of pants, and three shirts. If all items are compatible,…

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Q: 4. Determine algebraically whether the given linear and quadratic functions intersect. If they do…

A: If two functions f(x) and g(x) intersect then the intersection points of f(x) and g(x) are those…

Q: The equation has an unbounded solution. y′′ + 4y = cos 2x . True or dalse

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Q: Two people are placing a principal amount of $800 in a savings account with 6.5% annual interest.…

A: Formula

Q: me table below shows the production of tobacco in the US, in millions of pounds.¹ Year Year 2006…

A: (a) The average rate of change in tobacco production between 2008 and 2019 ismillions of pounds per…

Q: 6. 7. Which of the following functions has the longest period? y = 6 sin(3x) + 20 b. y = 8 cos(2x) -…

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Q: y" + 4y' + 4y= xe-x

A: The given differential equation .The aim is to find the general solution to the differential…

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: Set up a double integral to find the volume of the solid enclosed by the coordinate planes and the…

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Q: b) A company makes a blend consisting of two chemicals, A and B, in the ratio 5 : 2 by weight. These…

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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: 4. Let (X, d) be a metric space and d' be a metric on X that is equivalent to d. Let and be the…

A: Let us prove above result

Q: Prove the validity of the following argument using a direct proof.  Please validate each step with…

A: To validate the argument using a direct proof, we need to start with the premises and apply…

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

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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: Consider the following autonomous first-order differential equation. dy dx Find the critical points…

A: Given differential equation is critical point is given by i.e. or, therefore,  is the only critical…

Q: There is a circle whose radius r is changing with time t. We are interested in the area A of a…

A: (a) Area at We have given that now evaluated r and  at The initial area is