What is the absolute minimum for the function f(x, y) = 4x2 + y? subject to the constraint equation x + y = 4? (a) 0 (b) 2 (c) 4 (d) 16

Q: 2. X + 5y + 15 z + 35 w + 70t = 0 X + y + 2 + w + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20...

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Q: Apply Lagrange's formula inversely to obtain a root of the equation f(x) = U, given that f (30) = - ...

A: given f(30) = -30 , f(34) = -13, f(38) = 3 , f(42) = 18 x0 = 30 , x1 = 34 , x2 = 38, x3 = 42  yo= -3...

Q: C(4) А(3) F(5) D(2) H(2) B(5) "G(6) 3 E(3) The diagram above is the activity network relating to a b...

A: A network diagram is used to schedule the activities in a project. It describes the precedence relat...

Q: ди One-dimensional heat equation at dx

A: To solve the equation we can use method of separation of symbols. In this method we put our dependen...

Q: 2. Define a function f : N → N by the rule f(n) = Lyn]. Write down the set PreImf({2,3}) in roster f...

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Q: (x+2)dx 1 (2-x)3 3/5 (2 - x)^(2/3) - 6(2-x)^(5/3) + C 3/5 (2 - x)^(5/3) + 6(2 - x)^(2/3) + C 3/5 (2 ...

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Q: y = -x^2 + 4x , y = x^2 - 6x + 5 , x = 0,x=1 O 2.012 sq. units O 2.022 sq. units O 2.032 sq. units O...

A: The given problem is to sketch the given graphs and intersection points and also find the area forme...

Q: (1 + ?)(1 – i). Show complete solution.

A: This is a problem of complex analysis.

Q: Evaluate the given integral by changing to polar coordinates. x² - y² dA, where D is the region boun...

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Q: While calculating correlation coefficient between two variables x and y from 25 pairs of observation...

A: The formula to calculate the correlation coefficient is given by r=n(∑xy)-(∑x)(∑y)[n(∑x2)-(∑x)2][n(∑...

Q: Consider the function Ax) = 20x2e-3x on the domain 0, c0). On its domain, the curve y =Rx): O A. att...

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Q: Find the directional derivative of f(x, y, z) =

A: Given,        f(x, y, z)=xy2+yz3 and            a=i^+2j^+2k^  

Q: 3. Given an equation of a circle, determine how to find a point on the circle. Determine how to find...

A: Suppose (x-a)2 +(y-b)2 =r2  be an equation of circle with centre at (a,b) and radius is r. Two ways:...

Q: 1 -5<t<0 f(t) the value of b, is - +t 0<t<5

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Q: 3. Consider the function f defined by f(x) = b, 0 <x < L. i) Extend f as an odd function and find it...

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Q: Define a linear operator on R^2 by performing the following operations in order: i) a shear in the ...

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Q: 4w dw = w2 –4 -3^(5/3) О з(3/5) 3^(3/5) 3 O O O

A: We have to evaluate the integral ∫124ww2-43dw.

Q: 5.) Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate...

A: The given problem is to find the volume of the solid in the first octant bounded by given plane and ...

Q: . Two previously undeformed specimens of the same metal are to be plastically deformed by reducing t...

A: given    circular(diameter) rectangular original dimensions 18.0 20×50 deformed dimensions 15...

Q: b. If x is a nontrivial solution of Ax = 0, then every entry in x is nonzero. Choose the correct ans...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Evaluate the following Combinations. Check your results using the prb button on your calculator. A c...

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Q: Let V=R2[x] be the real vactor space of polynomials of degree most 2. B={f0 ,f1 ,f2 } where f0(x)=1,...

A: The quadratic approximation of a function f at x0 is: f(x0)+f'(x0)(x-x0)+f''(x0)(x-x0)22 = Q(x)

Q: Let (M, d) be a discrete metric space. Give explicitly a simplified expression for the following. (a...

A: Given that, M,d be the discrete metric space,  Let  M,d=1,if x≠y0,if x=y (b) (1) given T1=Sa,π Sa,π=...

Q: Find the volume of the solid generated by revolving the region. 2 bounded by y + 2v2x = (x+ v2)´and ...

A: Simplify the given equations  to obtain the expression of y. Use the algebraic identity p+q2=p2+2pq+...

Q: Find the solution of the following system y'1= y1 - y2 +y3 y'2 = 5y2 y'3 = -2y1 + y2 - y3

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Q: Q: Prove the trans farm; formula's by definition f Laplace -sto L 181t-6)J= ë* (Dirac Delta Funchan)

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Q: The table below sflows data from a study relating a man's age to the average number of miles he can ...

A: We will use graphing calculator to find best fit for these data Let x = men's age and y = average nu...

Q: 3- x = cos t ly= sint +t cismin yüzey alanı aşağıdakilerden hangisidir? 0<t< le verilen parametrik e...

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Q: Given the point D(−4, 5, 3) and A = yax + (x + z)z ay, express the D and A in: Kindly answer in vec...

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Q: 5. Use induction to prove that for every n E N we have E(k · k!) = (n + 1)! – 1 k=1

A: We want to prove ∑k=1n(k·k!) = (n+1)! - 1

Q: Ax) = eV cos(x) +:

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Q: A uniform magnetic field B has constant strength b teslas in the z-direction [1.e., B = (0, 0, b) 1 ...

A: Stoke's theorem ∫CF→.dr→=∫∫S curlF→.dS→ Where S is a smooth surface bounded by a smooth closed curve...

Q: Multiple Choice. Write the letter of the correct answer. Kindly explain why you choose the letter as...

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Q: (b) Find a polynomial function of degree 4 whose zeros: -i; 3 (multiplicity 2).

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Q: Solve the given linear system using: I.Gauss- Jordan Method(Elementsry Row Opetarions). Please attac...

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Q: 2. A Type Il error is committed when A. we reject a null hypothesis that is true. B. we retain a nul...

A: This is the question of theoretical distribution and hypothesis test.

Q: d'y +45 - 6y = -12 ; y (0) = 1, y (0) = 4, y" (0) = -2 %3D %3D dt3 dt? dt

A: We have to find the solution.

Q: ( optional). Let f be continuous on [a, b] and differentiable in (a, 6). Show that if lim f'6) = A, ...

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Q: 15 Suppose f(x) = ". (a) The rectangles in the graph on the left illustrate a left endpoint Riemann ...

A: By Left Riemann sum area of region under graph of a function f(x) in the interval [a,b] with n sub i...

Q: 1. Solve the initial value problem, y"(t) + 4 y'(t) + 3 y(t) 8(t – 1) , y(0) = 1, y'(0) = 0 whoro S(...

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Q: While calculating correlation coefficient between two variables x and y from 25 pairs of observation...

A: given    n = 25 ,  to get the correct result we subtract the incorrect values and add the correspond...

Q: Given the function f(x) = 2x³ – 11.7x² + 17.7x – 5, find one root using the following methods below....

A: a). Newton's Method :-  

Q: x²y" +xy' – 4y = 2x*

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Q: Summarized on the right is the number of visitors (in millions) of the top five websites in 2015. Us...

A: First we find total number of visitors and then we divide D by the this sum. 

Q: For which value of k does the matrix 4 k A have one real eigenvalue of multiplicity 2?

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Q: Use the field norm to show: b) -1+v-3 is a unit in Z [1+ -3 ] 2 2

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Q: The function f: X → Y is given. We define the relation R on the set X by the formula (x R y) ⇔ (f (x...

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Q: ii) Obtain the Fourier series of the function g defined by g(x) = | f(t)dt, justifying your method b...

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Q: Question # 1: Part: a:For given matrix A, find Col(A), Row(A) and Null(A). Also write the dimension ...

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Q: 0 -3 -71 -3 -3 | has an eigenvalue A = 4. The matrix A 4 -2 2 4 Find an eigenvector for this eigenva...

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