Question Five (a) Let f: RR be a function given by f(₁,2,...) = ...., where P Σ-1. Show that the maximum of f(1,2,...,n) is n¹/", k=1

Q: Find the volume of the solid obtained by rotating the region bounde specified line. Sketch the…

A: Follow the steps.

Q: Using i of 9%, compare the net present worth of the net expenditures for the two proposed plans and…

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Q: Let f(x) be a function given by 0 for - < x < 0, f(x) = sin for 0≤x≤T. (a) Prove whether f(x) is a…

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Q: b) Converse of q → p р q T T TFF F 8T T F T F LL

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Q: d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an…

A: Just use the little bit calculation

Q: () 1 (b) Find the length of the component of the projection of the vector a = vector 6 = 2 () onto…

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Q: Suppose G(r) is the generating function of a sequence (an)o, satisfying G'(r) =rG(r), G(0) = 1. i.…

A: Solution : G'(r)=r G(r) G'(0)=0×G(0)=0 ∫G'(r)G(r)=∫r G(r)=cer22 G(0)=1c=1 G(r)=er22 G(r)=∑i=0∞x2ii!

Q: e) If a convex function f: R→ R satisfies f(10) = value for f(7)? = -4 and f(20) = 30, what's the…

A: Given that f:R→R is convex function with f10=-4, f20=30.

Q: Write an iterated integral for JJdA over the region R described to the right using R a. vertical…

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Q: Change the order of integration (show all steps, including graph) Sax fay+fdx fay 0 -10

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Q: Evaluate the following integral by reversing the order of intgeration: √ 2π [²² 1²² cos(7x²) dxdy…

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Q: Marissa converted an RRSP balance of $125,000 into an RRIF that will pay he $1,850 at the end of…

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Q: 7. An oil tank in the shape of a sphere has a diameter of 60 ft. How much oil does the tank contain…

A: Given that oil tank has shape of a sphere has diameter of 60 ft. Then the radius of sphere is…

Q: +x+y² = 0

A: Given as, 3. cx2+x+y2=0

Q: Verify Stokes' Theorem for F(x, y, z) = (y,-x, yz) and Sis 13.) the paraboloid z = x² + y², 0≤z≤1.…

A: Let S be a open surface bounded by a closed curve C and F=f1i^+f2j^+f3k^ be a continuous…

Q: O Consider the following linear program: minimise x1 + 2x2 - 6x3 subject to 4₁ - 8x2 + x3 = 10,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Translate the following Hindu-Arabic numeral into the equivalent Roman numeral_ 663 In Roman…

A: D is equivalent to Roman number 500,C is equivalent to Roman number 100 and L is equivalent to Roman…

Q: Marissa converted an RRSP balance of $125,000 into an RRIF that will pay he $1,850 at the end of…

A:

Q: x ²" (t) + ¢ x (t) = t + 4 where: X (0) x² (0) = 0 X

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Q: 4. Locate the centroid z of the frustum of the right-circular cone. X -R Z h

A: Consider the diagram of the frustum of right-circular cone,

Q: Maximize  z = 4x + 2y,  subject to the following constraints. 10x  +  5y ≤ 55 3x  +  4y ≤ 24 x  ≥…

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Q: Solve the ordinary differential equation y'+4y-3x³, using Runge-Kutta method with Xo-0. Yo-1, X₂-2,…

A: Solution: Given, y'=3x3-4yy(0)=1h=0.5y(2)=? Using formula , k2=hf(x0+h,y0+k1) Second order R-K…

Q: Write the first four terms of the sequence: an = 3n + 4 . If a1 = 2 and a3 = 8 of an arithmetic…

A: We have to write the first four terms of the given sequence. Then, we can proceed further.

Q: 1 (-1)-1 (ii) 1 +... 5 2n-1 (b) Show that the interval of convergence of the series 1 1 -√2ses.…

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Q: Question 2 (a) Let p, q and r be the following propositions concerning an element n of the set {0,…

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Q: 3. For each of the following normal curves, identify (as accurately as you can from the graph) the…

A: Follow the steps.

Q: ) = x² + y² - 8x - 6y subject to the

A: Given that fx,y=x2+y2-8x-6y. First we have to find the extreme point on the domain given in the…

Q: A rectangular gal 8 m is to be fenced 4 times. Fir

A: 11.  Given that a rectangular room of length is 4m and breadth is 3m.

Q: 8. Evaluate D = 3 2 4 4 0 7 9 -2 -1 -8 -3 3 5 6 9 5 9. Check your answer in item 8 using any method.…

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Q: An object consists of a cuboid and a pyramid with a square base. The plan and side elevation of the…

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Q: b) Differentiate (i) (i) the following functions clearly showing your working y = cos (4x4) y =…

A: Let us differentiate the functions with respect to x in the next steps.

Q: On the set X = (1,2,3,4) find the relation R1 which is not reflexive is symmetric, is not…

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Q: can't understand the symbols used and the handwriting is blurry

A: Solution:- The objective is to formulate the mathematical model that minimizes the largest deviation…

Q: True or Make True. Determine whether the statement is true or false. If it is false, then rewrite…

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Q: 3₁3245 + 211 5 2 5

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Q: Your company are designing metal trays. They will be made out of a sheet of metal which has a…

A: Perimeter = 80 cm square of side = 2cm Thus Length = x - 2y = (x - 4) cm height = y = 2 cm Let width…

Q: Power series p₁(z) and p2(x) are given below. P₁(z) = 1 + 7x +49x² + 343x³ +2401x¹ +... P2(x) = 1 +…

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Q: 9. Laplace Transform of f(t) = 1, 0 2. O A. 1/s + e^(-2s)/s + e^(2s)/s^2, s>0 OB. 1/s + e^(2s)/s +…

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Q: d) (q^t) ^ (p ^ c) where t is tautology and c is contradiction. р q T T T F T F TF F F LL

A: To find: the truth table.

Q: Find the maximum value of the objective function z = 8x + 2y, subject to the following constraints.…

A: To find the maximum value of objective function subject to the constraints.

Q: Date Title Page No. Teacher Sign / Remarks find the smallest prime number dividing the Sum 3+ 5 ¹13

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Q: Find the minimum value of the objective function z = 6x + 4y, subject to the following constraints.…

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Q: Q1/Find the Fourier series of the Function x , 0≤x≤2 .f(x) = :{ 0, 2≤x≤4

A: Given function is fx=x,  0≤x≤20,  2≤x≤4. We have to find the Fourier series of the function fx. The…

Q: Use the Divergence Theorem to evaluate ff F-n do where S F(x, y, z)=(x² +cos yz, y-e², z² + x²) and…

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Q: Determine the nature and stability of the equilibrium points of the system dx = x = y + x², dt dy…

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Q: 5. Determine the number/s

A: Given: Function F(x)=4-x2 To find : The point at which function is continuous.

Q: Consider the following equations Y₁ = 3x + 4 2y2 = 2x+8 -Y3= x-4 -3y4 = 9x - 12 What do the lines…

A: Given equations of lines are y1=3x+4             (1) 2y2=2x+8          (2) -y3=x-4            (3)…

Q: Write the number 56 as a Mayan numeral

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Q: 4. A composite function Function from your design Disregard desmos restrictions. Set sliders to 0 or…

A: To find: The instantaneous rate of change of a particle at x=A.