Write the given function as a power series and give the interval of convergence. a.) f(x) = 3x² 5-2³√x

Q: Q4) Find the result of the following: 1. i¹ = ? 2. B (125/50, 1) =? (Beta function) 3. Given z/= (4…

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Q: 43 Compute for the sum. Answer directly. 2 3 ΣΣ11;3 i=0j=0

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Q: Solve for z in the equation 2-5j z+j+1 2= +3j 2z-j A) 0.2 + 0.1 j B) -0.2 + 0.1 j C) 0.2-0.1j D)…

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Q: A food store surveyed 50 of its shoppers as to whether they had purchased bacon or steak during the…

A: Note: Hi! Thank you for the question, As per the honour code, we are allowed to answer three…

Q: Obtain a numerical solution of the differential equation = 3y - x in dy dx the rang 1.0(0.1) 1.5…

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Q: Determine whether the differential equation (7x² - 2xy + 8) dx + (2y² = x² + 7) dy = 0 is exact. If…

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Q: 6. A shopper observes that whenever the price of butter goes up, the price of cheese goes up also.…

A: Given : A shopper observe that , When the price of butter goes up, the price of cheese goes up also…

Q: Q1) One of the following is correct for functions the f(x) = 1, g(x)=x³ and h(x) In(x) a) f(x).g(x)…

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Q: a) 3x+5y-22-4 = 0 4x + 7y+6z+11 = 0 -6x-10y + 4z +8 = 0 b) 5x+3y-z-11 = 0 -2x - 7y +10z-2=0…

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Q: The cost function is C(x) = 5x + 21 and price-demand function is p(x) = 25−4x • Find the profit…

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Q: A n x n Hermitian matrix contains exactly k real entries. Show that k + n must be even.

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Q: Question 2 Consider the graph of some function y = f(x) which is periodic and shown below. 4 MAL x…

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Q: Q13) The general solution for y' = 6y²x, is: a) == = 3x² + c b) == x² + c y Q14) The solution of y"…

A: Solution:

Q: 4. Consider the additive group Z. Z Prove that nZ Zn for any neZ+.

A: We know that a group G is said to a cyclic group if there exists an element x of the group G such…

Q: Ann is a risk averse individual with the utility function u(w) = w1/2. Her current wealth is $300…

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Q: Q₁) Find Jz dz 1. along the contour integral c from 1+i directly to 3+i3? 2. along line from 1+i…

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Q: Let F(t) be a vector valued function whose derivative is F'(t) = G(t) = (6t, 3t, -6t). 1. If F(2) =…

A: As per the question we are given the vector valued function F(t) such that : F'(t) = G(t) =…

Q: EXERCISE 2.1 Derive the expression of the normal vector K(t) of the parametric curve P(t) = (−1,…

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Q: Q23) The kernel of the Laplace transform of f(t),t> 0, is: d) e-s b) e-t a) e c) e-st Q24) The…

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Q: Q20) The singular point (s) of (x + 1) y' + x²y = 0, is (are): a) 0,1 d)-1 b) 0,-1 c) 0

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Q: Using Laplace transform, solve the following simultaneous equations: y₁+3y1 - y2 u(t-1)et, Yo…

A: We solve given simultaneous equation by using Laplace transform.

Q: (d) Determine the right cosets of ((1 2), [1]) € S3 x Z2.

A: I just used the definition  of cosets

Q: Consider the following 2 planes: ?1: 2? − ? − 4? − 4 = 0                   ?2: 4? − 2? − 3? = 3…

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Q: How do you solve this using differential equations?

A: Given: The detective got a call at ten past midnight. He arrived at the crime scene in 20 minutes.…

Q: 1. (4 ×6 x) +6 2 = 1 2. (3 x6 x) +65 = 1

A: These are the problems of the theory of congruence.

Q: Use the intercept form to find the general form of the equation of the line with the given…

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Q: Q₁) Find $dz 1. around unit circle of radius 1 and center at (0, 0) counterclockwise. 2. By using…

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Q: Consider a force field F = yi+zj+k that acts along a path from foothill A to the top B as in the…

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Q: c) W (f(x), g(x), h(x)) = 0 Q2) L-1 a)-2coshnt b)-2sinhnt c)-2cosnt d)-2sinnt Integrating factor…

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Q: a) e-3x b) ex ©e. d) Q4) The linear form of nonlinear ODE y' - 2y = 2y, is: a) u' + 6u = -6 b) u'-6u…

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Q: 30 *.The equation (y"+x3y'+y=0)is............ differential equation Non Linear,2nd order, Non…

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Q: Compute for the sum. Answer directly. Lore ΣΣ (-)) i=1j=1

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Q: Find the general solution of the given differential equation. y' + 3x²y = x² y(x) = Give the largest…

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Q: Qs) Find the result of the following: 1. (3-4)³=? (Put your result in polar form) 2. 0.602×(9/2) =?…

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Q: If fn ‡ ƒ on [a, b], then lim ſå ƒn ‡ ſå f. If 0 ≤ an ≤ bn for all n E N, and an converges, then bn…

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Q: Q1) L-¹ (²-1) = a) cosht -1 Q2) The general solution of y"" + 2y" -y'-2y = 0, is: 2x a) y(x) = c₁e²x…

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Q: Which is a possible value of q, rotating counterclockwise, to the nearest hundredth of a radian,…

A: To find- Which is a possible value of q, rotating counterclockwise, to the nearest hundredth of a…

Q: O SS -İ 2 1 + √√ x² + y² ) dj d x

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Q: Q15) Assume that the roots of a characteristic polynomial of a homogeneous ODE with constant…

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Q: a) u' + 6u = -6 c) u' - 6u = 6 d) u' + 6u = 6 Q5) The general solution of 2x2y" + 3xy' - 15y = 0,…

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Q: Rephrase the initial value problems ab integral equations y² = y ² =3x²_1 y (0) 21

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Q: PROBLEM NO. 5 GIVEN: 9 3 -6 60] A: b= -2 -4 8 4 USING LU FACTORIZATION (ROW OPERATION), DETERMINE…

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Q: Q10) The general solution of y" +2y" -y'-2y = 0, is: a) y(x) = c₂e²x+c₂e-² +₂e* b) y(x) = c₂e-2x +…

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Q: 3. Given that µ = 5 and o = 2.8, the z-score for x = 6.6 is: a. 0.89 b. 0.98 C. 0.57 d. - 2.1 4.…

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Q: Use Euler's method to find approximate values of the solution of the given initial value problem at…

A: Let us start solving the problem step by step using euler method

Q: 1. Use the Cauchy-Riemann conditions to find out whether the following functions are analytic. b.…

A: Cauchy-Riemann conditions:  The complex valued function  f(z)=u(x,y)+iv(x,y) is analytic if it…

Q: I. Let C₁ be the unit circle, C₂ be the polar curve with polar equation r = 2 cos 30, and points A…

A: As per the question we are given two polar curves : C1 : unit circle i.e. r = 1 C2 : r = 2cos(3θ)…

Q: Write the Mayan numeral as a Hindu-Arabic numeral. 2. 4 5 6 8 9 *** **** BE L www **** - 13 14 15 16…

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Q: c) s² L(y(x)) -sy(0)-y'(0) Q12) The kernel of the Laplace transform of f(t),t> 0, is: d) s²…

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Q: a) s² L(y(x)) + sy(0)-y'(0) c) s² L(y(x))-sy(0)-y'(0) Q12) The kernel of the Laplace transform Q13)…

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