Of all points (x,y,z) that satisfy x+y+4z=24, find one that maximizes (x-1)2 +(y-1)2+(z-1)2

Q: 1- Find the inverse of Laplace transform of log s²+1 (S-1)²,

A: Consider the given function, logs2+1s-12 Now, inverse of Laplace will be, L-1logs2+1s-12=ft So, it…

Q: 84 3 40 127 300 35 23 58 102 19 97 485 26 72 Write the numbers in the correct places on the Carroll…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the distance from the point (-3,0,-7) to the line a(t)=t +

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Q: Want a rigorous proof   Prove that The set of prime numbers has no largest element.

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Q: Prove whether u(x, y) = x² - 2xy + y2 is a harmonic function on a set D={(x,y) |x<y}. If and are…

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Q: Let a, b, c € R. Given that the matrix a = type your answer... 1 + ai -2 -i b= -2 bi -2i+4 type your…

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Q: Does anyone use ratios in their workplace? If so, can you provide an example and explain how it is…

A: Yes, Anyone use ratios in their workplace.

Q: 11. Suppose we are given two functions f(x) and g(x) that satisfy the following conditions: f(3) =…

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Q: Q-2 Show that the set of all vectors (a-3b, a+2c +4d, b+3c-d, c-d), where a, b, c, d are real…

A: We know that ℝn is a vector space of n tuples and we represent a vector x∈ℝn in the following form:…

Q: : Show that the integral equation TU g(x) = A (sin x sin 2t) g(t) dt pvaluos

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Q: Find the Cartesian equation for the curve with parametric equations x = 1 + 2cos2t and y = 2 +…

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Q: Convolution with Impulse (Dirac) Function. Convolution with impulse function can be performed by the…

A: Note: The value inside the circle is incorrect. The proof for the correct value is given in the…

Q: 3 most important rules or ideas or “key concepts” about research.

A: 3 most important rules or ideas or “key concepts” about research are : 1) first one is measurement…

Q: The distributional second derivative of u(x) = |x|, Vx R is given by O бо 0-80 O 0. 200

A: To find the distributional second derivative of ux=x, ∀x∈R.

Q: Fiona has 5 albums in her Photo Gallery on her phone. Each album has 60 pictures. How many sets of…

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Q: 1.2 What is the decimal equivalence of the binary number (10100000) 2?

A: To convert a binary number system to a decimal number system, follow the procedures below. Step 1:…

Q: ydy 1+ y²² = dx X when y(2) =3

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Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (BOC)' UA on the Venn diagram. U…

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Q: : Define linear Volterra integral equations of the first and second kinds. Show that the function…

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Q: F.T. If X(t) y(t) = x(2-1) it W+1 Ans: Yow) + X(W) and X(W) = [4 -j(w+1) e iGW+1}]² (2+jwj2 find…

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Q: Show that the following are Lorentz invariant

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Q: Show that f(x, y) = point (5,-3). 3x+2y x+y+1 meets the three conditions for continuity at Add-ins…

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Q: What is the smallest positive integer n such that 80325 divides n!

A: We have to find the smallest positive integer n such that 80325 divides n !

Q: SOLVE STEP BY STEP AND IN DIGITAL FORMAT 5. Draw the graph G that has as vertex set V (G) and edge…

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Q: Find div (e" grad u x 7) u=x-y ex at (2,1,0) where and =(x²+1)i + sec¯¹(x² −y)j + 3y²zk

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Q: Define freedholm, Volterra and Singular is a solution of the integral equation K g(t) _dt = 1 Vx-t…

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Q: Use the information from the preceding table to fill in the following table. Year 2017 2018 2019…

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Q: Consider Uu=4uzzy u(x,0) = u(x), u₁(x,0) = u₁(x), on the domain -∞<x<∞, 0≤t<∞o. Suppose that both…

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Q: f(x) = y= Find the domain and the ring x 2 x+2 x² 2 3 / /

A: What is Domain and Range of a Function: A function always maps two sets. Either the two sets are…

Q: 1. 2. 3. Find a vector equation of line passing (1,-1,4) in the direction of (3,5,-2). Find a vector…

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Q: For n ≥ 2, define the n-dimensional hypercube Qn to have vertex set V(Qn) = {(x1,.,.,.,n) € R¹ : æ¡…

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Q: Show that the function y = x¹/², x > 0, is strictly concave

A: Given that y=x1/2 Differentiate both sides w.r.t x, y'=12x1/2-1y'=x-1/22 Again differentiate w.r.t.…

Q: (: Find y as a function of x if y" + 64y' = 0, y(0) = -1, y'(0) = -24, y"(0) = 0. y(x) =

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Q: In a fruit cocktail, for ever 30 ml of orange juice you need 45 nl of apple juice and 25 ml of…

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Q: Let of N be groop, a G- Characteristic Subgroup that, it Prove NEK and Characteristic Subgroup к is…

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Q: find F.T the? f(t) = u(t) cos wot let ult) = TS (W) + J W Coswot =TTES (W-Wo + 8 (W

A: What is Fourier Transformation: Integral transformations include Fourier transformations. It…

Q: Use the Venn diagram shown to answer the question below. U I IV II VII B VI III VIII Which regions…

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Q: (a) Integrate g(x,y,z) = Inx²+y over the surface of the region cut from the plane 4x+3y+2z=1 by the…

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Q: find FoT the: f(t) = 35gh (st) - w 1+jW let: 35gh (34) = 6

A: What is Fourier Transformation: Integral transformations include the Fourier transform. A simple,…

Q: Find the volume under the paraboloid z-x+y above the triangle enclosed by the lines y=x, x=0 and…

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Q: Let f(2)= ¹5 and let C = {z € C : |z| = 1}, described in the positive sense. Determine the value of…

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Q: Find the general solution of the system whose augmented matrix is given below. 1-4 0-1 0-6 0 10 0-9…

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Q: Use Cayley Hamilton theorem, the characteristic equation and A¹ of the matrix A = [3] -3 X²-4X+5=0.…

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Q: Give equations and sketch graphs of the lines passing through (-2,2) and parallel to y=2-5x

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Q: Queston Ser x²-4 Composite Trapezoidal rule with n=4 3.1.1. use the to approximate integral. 3.1.2.…

A: Note:- For part (2), you don't mention method name so, i assume it Trapezoidal rule with n=3. If you…

Q: an аn аррох ne •mation Composite Simpson-

A: Given, we have to integrate fx=2xe1/2x on 0,2. So, f'x=212xe1/2x+e1/2xf'x=x+2e1/2x…

Q: Show that u(x,t)= f((x+a*t)+f(x-a*t))/2

A: Given PDE is utt=a2uxx subject to ux,0=fxutx,0=0 We know that the general solution of the PDE is…

Q: 3.2 Let f(x) = Approximate the integral x4 x L f(x) dx using the Trapezoidal rule with n = 4. -2

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Q: B- Find the area between the curve (y-√x - 2) and the lines (y-4-x),(y=0).

A: We have given three curves-y=x-2y=4-xy=0 First we will find intersection of first two curves…

Q: 0 1 2 У 17 13 9

A: Given Table x y 0 17 1 13 2 9 3 5 4 1 5 -3