Consider the function y=-2(1/2(x-1))^2+5.    Find the x and y-intercepts. Round to one decimal place where necessary.

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Q: Find the best quadratic approximation to f on the interval [ 0, 1].                       f(x) = ex

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Q: 2. n, meZ+, A₁ = {p: asal; p/n}. Aşağı layınız: n i) gcd(n, m) = 1 ⇒ AmA = 0 ii) d = n.m⇒ Ad = AmUAn…

A: 2) Let define  i)   .         divides m  and divides n.     divides

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A: To show that the rank of matrix A, denoted as rank(A), is less than or equal to  given  with , we…

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Q: 3. Setup and solve the iterated integral for the line integral S C cos y dx + (xy - x sin y) dy with…

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Q: Find a general solution to the differential equation. 1 1 6¹ +6y=4 tan 6t - 2 The general solution…

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A: We have to calculate

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Q: Suppose f(): R" → R is a function. Consider the optimization problem min f(x) over XER". P) 3)…

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Q: 9. 10. . b. 9 d. 13 Given f(x) = (x-3)(x + 5) + 3. When f(x) is divided by (x-k), the remainder is…

A: We have f(x) = (x - 3)(x + 5) + 3 = x ^ 2 + 2x - 12 Now, the zero of x - k is x = k .  Thus, the…

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Q: Question 5. Apply the definition and prove that the set A = { } } } } denumerable. } is

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Q: implify. Write the answer in decimal notation. (3*10^(-4))/(2*10^(3))

A: Given expression We have to find the answer in decimal notation.

Q: The following data are for a certain function 0.1 0.2 0.3 0.4 -0.29005 -0.56079 -0.81402 -1.05263…

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Q: water 12 L/min 200 L A Mixture 4 L/min Mixture 16 L/min Mixture 12 L/min 200 L 0 Tank A contains 200…

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Q: Determine the magnitude of the Fourier transform of the function 7.5e-3t u(t) for a frequency of 3…

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A: Given matrix:

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A: Method of Lagrange MultipliersWe have

Q: denumerable. Apply the definition and prove that the set A = {₁, {} ... } is

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Q: Prove that if K be a normal extension of a field F and L is an intermediate field so that F⊂L⊂K,…

A: Suppose that K be a normal extension of a field F and L is an intermediate field so that , then we…

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Q: (4) Prove that if n >m > 0 then sint t m -dt < Hence show that sint dt exists. 4 m

A: To Prove:, if , and exists.

Q: Find cond1(A ) and cond∞(A). State whether th e given matrix is ill-conditioned.

A: To find:  and

Q: The weighted voting system [27: 10, 8, 6, 4, 2] represents a partnership among five people (P₁, P2,…

A: Given that the weighted voting system [27: 10, 8, 6, 4, 2] represents a partnership among five…

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Q: 1. Given the piecewise continuous function 8, (3-1², f(t)= 0<t<4 124. a) Use the definition of…

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Q: Find the distance from point P(1,4,0) to the plane through A(0,0,0), B(2,0, -1) and C(2, -1,0) Find…

A: (1) The equation of the plane passing through the points A(0, 0, 0) , B(2, 0, -1)  and  C(2, -1, 0)…

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Q: Problem #6: Let Problem #6: f(1) = S8 3 -8 0 <1 < * < 1< 2π and assume that when f(t) is extended to…

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