The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. What is the point on this ellipse that is farthest from the origin?

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A: According to our guidelines i can solve only one subpart.

Q: Use synthetic division to divide. (Simplify your answer completely.) x5-13x4 120x + 81 x + 3 X = -3…

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Q: a¹y¹2'dadydz, where V is the (6) Using suitable transformations, evaluate closed region in the first…

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Q: * Consider the following matrices /1 1 1/2 3 4) ^ - (-: 2) - - († ;) -- ( 7² :¦ ¦) -- () --(:::;) A…

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Q: Find N (t), T(t), aŢ, and añ: r(t) = t³i+ 8 cos tj + 6 sin tk; t = π

A: “Since you have posted a question with multiple sub-parts and as each calculations takes time, we…

Q: Use transformations to sketch the function y=-3log10 (x-1) + 2 y = -310g 10 (x - 1) + 2 Parent…

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Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

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Q: 9. Find the numerical Integration of ſo cos(x) + sin (x) where n = 4 using trapezoidal rule.

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Q: A = [14]. -1

A: Here given A=111-1

Q: 3) For f(x) = log2 x and (x)=√x-4, what is the domain of f(g(x)) and g(f(x))?

A: The function f(x)=logx is defined for x>0 The function f(x)=x is defined for x≥0 Note: If logba=c…

Q: (c) Calculate dx √x(x+1)

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Q: NGÔI2 2 A function fis such that f(x)=4²+4² +ar+b. It is given that 2r-1 is a factor of both f(x)…

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Q: 7. ) How many points must you place in a square with the dimension of 3cm by 3cm to guarantee that…

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Q: 4. Given the data below: x 1.0 1.2 1.4 1.6 1.8 2.0 f(x) 2.2183 2.6001 3.0752 3.6730 4.4296 5.3891 i.…

A: The 3-point backward formula f'(x0)≈f(x0-2h)-4f(x0-h)+3fx02h

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A: angular position of a point on a rotating wheel is given by θ=4.65+8.95t2+4.09t3 where θ is in…

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Q: 10. Compute the central difference approximations of O(h^4 ) for the first derivative of y =cos(x) +…

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Q: Three states have the following populations: State Population A 10,040 B 8000 C 2050 A house of…

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Q: (x) = 6x³-5x² + ax + b has a factc x-1. = 40 and find the value of a.

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Q: Consider the function f defined by: f(x, y, z) = x² + y² + z² − xy − yz + 6x − 5y + 4z − 100. 1.…

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Q: -1 3 -6 -4 -3 4 Let y = ,Vi= " 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

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Q: Let u(x,y,t)=(1/t)exp[-(x²+y²)/4t] where exp denotes e to a function. Show that u(x,y,t) satisfies…

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Q: Evaluate the z transform Evaluate the z transform of x(n) = a^(-n) u(n). of x(n) = c^n u(n).

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Q: Let (-3, 8) be a point on the terminal side of 0. Find the exact values of sin 0, csc0, and cot 0.

A: Here we use basic trigonometry to solve this

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Q: 11: Given the function f(x) = 8x² - 4x₁x₂ + 5x² and Xo = [5 2]. Then G¹g at Xo is equal (( G is the…

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Q: 1. E(x) = 46 and Var(x) = 48² O True O False

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 1. Consider the function f(x) = -1 0 1 f(x + 4) -2 <x<-1 -1 ≤ x ≤ 1 1 < x≤2

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Q: a. Find all functions from {0, 1} to {1}. b. Find two relations from {0, 1} to {1} that are not…

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Q: 2. Given the following data: X -20 12 4 f(x) -11 1 -2 5 97 Newton divided difference polynomial…

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Q: Q/ if f contineous map Prove that f(B) ≤ f(B), VBsy

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Q: 7. By separating a) b) the variables convert the PDE into a system of ODES Sem азт а т + д?хду дхду…

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