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Q: (3x²y+2)dx – (y – x³)dy = 0

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Q: Find a,b and c so that the quadrature formula has the highest degree of precision | f(x)dx & af(-3) ...

A: Let us consider a function f(xk)=yk for k=0,1,2,....n x0=a and xn=x0+nh=b  The general quadrature fo...

Q: Suppose that the values of a smooth function f are known for x = -0.15, –0.1, 0,0.1, 0.15 and 0.2. G...

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Q: 20 -6 36 Let A = -1 18 . Find an invertible matrix P and a diagonal matrix D such that D = P-lAP. -9...

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Q: Determine the convergence radius and the convergence interval in each given series.. (a) ln(n+1) n+1

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Q: Determine the stability of the equilibrium points of the following systems (a) x' = ax + y – x, y' =...

A: As per your query the solution of the first problem is done in detail below

Q: Queen chooses sixteen different numbers from the set {1, 2, 3,..., 25, 26}. Prove, or disprove, that...

A: There are total 26 numbers in the set  {1, 2, 3,..., 25, 26}. Also the queen chooses 16 different nu...

Q: Sugar juice is filtering through a conical funnel 20cm deep and 12cm across the top into a cylindric...

A: Given that,Sugar juice is filtering through a conical funnel 20cm deep and 12cm across the top into ...

Q: Problem 6: Consider the following nonlinear differential system: * = -y - a(12 + y²) sin (Va? + 32 ý...

A: As per the question we are given a dynamic system which have the origin (0,0) as the equilibrium poi...

Q: Find the present value of 1,200 due in 3 years and 9 months if money is for 10%, compounded quarterl...

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Q: Hilda and Pooya each have a coin that comes up heads with probability when fipped. Hilda flips the c...

A: Given that,Hilda and Pooya each have a coin that comes up heads with probability 13 when flipped.Hil...

Q: 5. Prove that |e³ – Eosisn l < 32 3n+1 e3 (n+1)!

A: The given problem is to prove the following summation inequality. We have to use taylor series for t...

Q: Question 4 These questions are related to the applications of Engineering Mathematics. (a) The free ...

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Q: QUESTION 9 dz (1+4r) dr – z?, for z (0) =4- Find the solution z(r) of: O a. none of the above 4 O b....

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Q: 1 3 -7 - -1 A = -1 1 1 -1 1 -2 1 1 (a) Find a basis for Col(A). (b) Find a basis for Nul(A). (c) Fin...

A: Since you have posted a question with multiple subparts according to guildlines I will solve first t...

Q: 2. Consider the following profit matrix: 0, 02 03 04 Os 20 15 10 11 12 a2 15 20 10 14 16 13 17 15 23...

A: Given- Consider the following profit matrix:   θ1 θ2 θ3 θ4 θ5 a1 20 15 10 11 12 a2 15 20 10 1...

Q: Suppose that value of wine respect to time is given following function V = 100e vt“. How long will i...

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Q: Question 1 These questions are related to the applications of Engineering Mathematics. dg Calculate,...

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Q: f(t) = t²sinh3t

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Q: Let L: R → R be defined by L(r., y) = (r - y.0, r+ y). (a) Show that L is a linear transformation. (...

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Q: Does a simple graph on eight vertices of degrees 1, 1, 2, 2, 3, 3, 4, 4 exist? Either draw such a gr...

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

Q: Discount 7,500 PHP for 2 years at 8% converted monthly. *

A: Given, discount 7500 PHP for 2 years at 8% converted monthly:  

Q: For each of the following functions, y(t), determine if y(t) is a solution of the second order equat...

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Q: 9. The partial differential equation of the temperature in a long thin rod is given by ƏT at ax2 nod...

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Q: y'' + 4y" + 5y' + 2y = 0 y(0) = y'(0) = 0, y"(0) = 4

A: The solution is given as  

Q: Let f (z) = 10z, O = 0, A = 1 and B = 1+ li. Let C, be the contour composed of the line segments OA ...

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Q: One sometimes sees rows of evenly spaced radio antenna towers. A student remarked that these act lik...

A: Solution : The evenly spaced radio antenna act as source of  radio waves and the diffraction pattern...

Q: 4/9 It is December month of year. Santa is doing preparations for christmas evening and he has selec...

A: Given, Three gifts have to distribute among three childrens, such that each child gets at least one ...

Q: B. Check if the two lines given below are coplanar or not: x = 1+t, y =1+ 2t, z = 3+t and x = 3+ s, ...

A: Coplaner

Q: Solve for the power series solution about x 7. Show detailed solution. Use derivatives of the genera...

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Q: 5. Write the solution of the following Cauchy problem for the wave equation on the real line as a su...

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Q: Find the value of the following Legendre symbols: (a) (107) 784 1201

A: Solution

Q: Number on the box Options 8 A few boxes are arranged with the help of numbers on them in ascending o...

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Q: 6. Define f(x,8) =: «+8)-f(@). Compute the limit lims¬0(2f(x, 8) – f(x, 26) – f'(x))(8)-2.

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Q: Create a proof for the following argument. 1. Av (D v C) 2. -C 3. (A v D) ɔ (B v C) I Bv C

A: We prove the given argument by using rules of inference.

Q: dY 4 Y %3D dt -1

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Q: If the compound interest earned for the second year at 10% p.a. is Rs. 121. What is the principal am...

A: This is a problem of compound interest. See it step by step. 

Q: Question 3. A company manufactures calculators. Fixed costs are $500 and the cost of producing each ...

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Q: Find the Laplace Transform: 2x2 e* cosh x

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Q: the following sysiems,

A: Given,         4x1+2x2-x3=10 x1+3x2-2x3=42x1-2x2+3x3=6

Q: Calculate the volume of tetrahedron

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Q: State the conditions in which the separate and combined ratio estimate methods are used instead of t...

A: As per the question we have to state the conditions in which the separate and combined ratio estimat...

Q: Which one of the following boolean expressions is/are a tautology? A. ((a → b) ^ (b → c)) → (a → c) ...

A: Note:- p q p∨q p∧q p→q p↔q T T T T T T T F T F F F F T T F T F F F F F T T Tautology:-...

Q: Let (X, F) be a о — algebra , and be two probability measures on (X, F) so that both are ergodic for...

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Q: The series (-2)"- x 2n is a Maclaurin series for the following function (2n)! n=0 O A. Cos co) O B. ...

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Q: Int Sin3x Sin3x

A: Kindly repost the other questions as a separate question. 

Q: 2n The series (-2)". (2n)! is a Maclaurin series for the following function n=0 O A. cos O B. cos OC...

A: The Taylor series expansion of the function f(x) about the point x=a is given by f(x)=∑n=0∞fn(a)n!(x...

Q: Minimize: z = x- y subject to: 4х — Зу <0 x + y < 10 х, у 2 0

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Q: The population of mosquitoes in a certain arca increases at a rate proportional to the current popul...

A: From the given information we can form a differential equation because it is given that the populati...

Q: Give the equations of all the asymptotes of the graph of f.

A: Given that,limx→-1-f(x)=+∞limx→-1+f(x)=-∞limx→-∞f(x)=2limx→+∞f(x)-(-x-1)=0The asymptotes of the func...