The sum of three numbers is 6. If we multiply the third number by 2 and add the first number to the result, we get 7. By adding second and third numbers to three times the first number, we get 12. Use determinants to find the numbers.

Q: Consider the following optimisation problem max f(r, y) = t/r y, subject to tx? + y 0, y > 0. a)…

A: Given: max fx,y=txysubject to x2+ty≤5x≥0,y≥0 To find: a) t=1 b) Envelope theorem c) Marginal effect…

Q: If a, b, c are non-zero real numbers, then bc ca ab ca ab bc vanishes, when ab bc ca ca 1.1 -+- 0…

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Q: Let W = ((" ) :a+ 2c = 0 and b-d 0} be a subspace of M22- Then dimension of W is equal to: %3D O 1 O…

A: Dimensions of the subspace of W

Q: A point is selected uniformly at random on a stick. This stick is broken at this point. What is the…

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Q: -5くxと ニ 02 とLS

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Q: Discuss the properties of the curve and sketch fully:

A: Introduction: The graphical representation of a function is very significant. It helps us to…

Q: → Det f : V → Il Xa be defined as : a e A f (v) = (fa(v)) a e A where fa : V ¸Xa for each a e A. Let…

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Q: 1 F(s) : (s-2)(s-4)(s-8)

A: Use the Laplace table.

Q: Solve xdx + (y – 2x)dy = 0. %3D

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Q: -2] -4 2 Given: A = 2 -7 4 -7 has eigenvalues –3 and –12. -2 4 a) Explain why we know that A is…

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Q: Determine whether the following argument is valid or invalid. If it is valid, write a formal proof.…

A: Which is the conclusion.

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A: Introduction: The formula of the area between the two curves f(x) and g(x) is given by,…

Q: Find the Inverse Laplace Transform 98-8 82+24s

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Q: Let M = {C : )-C : )-C : 26:96: Then M is a basis for M23 the above None of the mentioned M3,2

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Q: Then dimension of W is equal to:

A: Dimension of W =3

Q: Section A : Solve the boundary value problem d²y = x+ 2y, with the boundary conditions dx² Y(0)=0…

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Q: Calculate: a) median b) first quartile

A: )a) find the median class interval frequency cumulative 90-105 24 24 105-120 62 24+62=86…

Q: If f(x) = 8-8x and g(x) ==3x + 8, find the requested function value. Find (f+g)(x). O -3z + 8 O-5z…

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Q: Write the domain and range of the function using interval notation. Domain: Range: Show your work…

A: (.)  Domain :                                                                         Domain is  a…

Q: 1 - x 1 2 - y = z +1 and l2 : х — Consider the lines l1 : = y – 2 = 3 || 2.

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Q: • MMD7;10 Let M = Then M is a basis for M2,3 O the above M3,2 the above None of the mentioned

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Q: Question 3 lecture is online". Write down, Given the statement: "If the tube strike happens then the…

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Q: 1 0 0 r - 2 2 What are the values for r and s for which has rank 2? S - 1 r+ 2 O A. r = -2 and s 1 O…

A: Solution

Q: Letf(x) be defined for all x>0 and be continuous. Let f(x) satisfy f =Ax)-fy) for all x, y and f(e)…

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Q: 2d 2e 21 Let a, b, c, d, e. f be real numbers, A = e fl, and B = d-3 If determinant of A is equal to…

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Q: A manufacturer of matches claims that boxes contain, on average, 49 matches. On checking output over…

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Q: The predicted sales revenue of the ABC Company, in tens of millions of dollars, is given by f (x) =…

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Q: nay construct orthogonal vectors a an V such that for each k

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Q: Tind the general or Solutionto the differential equation SPecial y= cx-ソ)

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Q: 7x4 – dy Find x' + 10x + 4 - DO NOT if y = dx SIMPLIFY. x2 + 6x + 1

A: Solution

Q: Problem (i) Let A be a square nonsingular matrix of order na with LU factorization A = PLAUA and B…

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Q: Let W = {(0,x, y, z): x + 6y – 9z = 0 } be a subspace of R*. Then a basis for W is: {(0,6,1,0),…

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Q: dz Draw a dependency diagram and write a chain rule formula for and given the functions below. du dv…

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Q: 1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Write the Maclaurin series for f(x) = 8 cos (7x²) as >, Cnx". n=0 Find the following coefficients.…

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Q: t2, 0 2

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Q: Letf(x) be defined for allx>0 and be continuous. Let f(x) satisfy f==(x)-fy) for all x, y and (e) =…

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Q: Does there exist an 8 x 8 matrix A - (a) satisfying the following three conditions? (1) If i 2j then…

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Q: Suppose you flip a coin twice. Let H represent the head and T represent the tail. Which one of the…

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Q: Real GDP B Years Point B on this graph shows a(n): O trough. O recession. O expansion. O peak.

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Q: FiM the remainchg ports op the spherical triangles ) ca90 のこ3703'44 ,6-61° 14'25

A: Given: C=90°a=37°3'46''b=64°16'25'' To find: Remaining parts of the spherical triangle

Q: 9⊙10 4 = ?

A: First we multiple 9x4 after that we apply the module 10.

Q: (b) Integrate: () S(4x3 — Зх? + 2х — 1)dx 3 (ii) - S-o S,(2.xy + z)dx dy dz z=-1 Jy=0 Jx=1 dy du =…

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Q: 3). lecture is online". Write down, Given the statement: "If the tube strike happens then the (a)…

A: We Know that  Statement If p , then q . Converse If q , then p . Inverse If not p , then not…

Q: (x-3)(x+3) Graph the rational function f(x) = Find all horizontal and vertical asymptotes and…

A: Given function is fx =x-3x+32x+1x-2x-5

Q: R is The lowey timit topolygy Pimer than the strmdard topoleoy てom

A: The given question is related with topology. Let Τ' be the lower limit topology on ℝ and Τ be the…

Q: Let M = {a E R: a < -1}. Then M is a vector space under standard addition and scalar multiplication…

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Q: Find the two-term perturbation approximation to y" = e", y(0) = 0, (0) = 0. %3D

A: Given:                                    y"= e∈y                               y(0) = 0…

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = –3 4. lim f(x) = +o, 3. lim f(x) = -2, lim…

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Q: f(x) = 4x² – 11 xy+4y² – 95 x + 95 y – 17. |

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…