Draw a multiple bar diagram for the following data. Year 1998 1999 2000 2001 Profit before tax (in lakhs of rupees) Profit after tax (in lakhs of rupees) 195 80 200 87 165 45 140 32

Q: 31. Use Stokes' theorem to evaluate curl F. ds, where F(x, y, z) = −y² î + x + z²k and S is the part…

A: Given: F⇀x, y, z =-y2 i^+xj^+z2 k^ ,  x+y+z=1 , x≥0 , y≥0 ,z≥0. To find: ∬S curl F⇀·dS

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Q: 1. Let A=MB (f) be the matrix associated with the linear map f(x,y,z) = (3x-y+4z.y+z-x,x+y+z)…

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Q: Solve using LPP Simplex method don't use shortcuts from excel thankyou. A diet for a sick person…

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Q: Ly A Click Submit to complete this assessment. Question 10 Given a differential equation with…

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Q: (a) On a remote island in the pacific, a new viral infection is spreading among a non-indigenous…

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Q: 45 please

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Q: f(x) = со Taylor series is Σ cnx" with n=0 = C1 C₁ = In(5 + x) 2-x C2 C₂ = C3 C4 = at x = 0. I iffi…

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Q: Part 2 Think of four random integers q, r, s, and t selected from 0 through 9. Let a₁ = 0.qrst,…

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Q: A ball is dropped from a height of 15 feet and bounces. Suppose that each bounce is 5/8 of the…

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Q: y''' — 4y'' + 13y' + 50y 0 y(0) = 4, y'(0) = 10, y’’(0) = 42 y(t) =

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A: Given data: y0=1.3 ft, y1=1.5 ft, y2=1.8 ft, y3=2 ft, y4=2.2 ft, y5=2.3 ft, y6=2.1 ft and h=1.6 ft.…

Q: Problem 1. Let a₁ = = 2, a2 = 9, and an = 2an-1+3an-2 for n> 3. Use mathematical induction to show…

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Q: Let A be an n×n real symmetric matrix. Prove that if λ is an eigenvalue of A of multiplicity n,…

A: Given that A is a n×n real symmetric matrix. We have to prove that  if λ is an eigenvalue of A of…

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Q: 3. To estimate the height of a mountain above a level plain, the angle of elevation to the top of…

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Q: (a) As an iterated integral, A = B = C = Suppose R is the triangle with vertices (-1,0), (0, 1), and…

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Q: 1. Let A = [1, 3], B = (2, 5], and C= {2}. Write the inequalities (or equalities) that specify each…

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Q: 3) Evaluate X $1₂₁ + x² D = {(x, y)|0 ≤ y ≤ x², 0≤x≤ 2} dA where D=

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Q: If you pay $280 a month for your car for 48 months. How much did you pay?

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Q: Prove that f: R→ R is continuous. 2. Suppose that the function f : [0, 1] → R is continuous and that…

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Q: ¹) Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace…

A: If a set B is a basis of  Vector space V the B is linearly independent and V=span{B}.

Q: 4) Evaluate 51/²₁ e¹²+¹ dydx 2x

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A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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Q: #3. On the grid below, draw three lines: one with a slope of 2, one with a slope of -5/3, and one…

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Q: 1. The Folium of Descartes is an implicitly-defined curve, significant in the history of…

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