Please help me with this discrete math question with details on how to do it. Thank you.   Use the Binomial Theorem to expand (3x − 2)^6

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Q: Find the sum of the convergent series. 1 1 (a) 2n 3n (b) (sin 1)" n=1 9. (c) 8+6+ 27 +... 8 1 ( d) Σ...

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Q: (3) Prove or disprove. show your work . (a) for any integers n a and m : if both n and m are odd , t...

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Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}.

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Q: What is L s+2 (s – 3)* - 9 e cosh3t +e sinh 3t 3. A. 3r 8. e sin 3t 3. B. e cos 3t + 3/ 3r 2r C. e 2...

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Q: Find the point P' symmetric of the point P(-5, 13) with respect to the line 2x - 3y - 3 = 0

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Q: Radioactive nuclei decay according to the law: dN -AN. dt N is the concentration of a given nuclide ...

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Q: 1. What is the resultant of the following vecto Va = 85.5 m, 56 degrees east of south Vb = 45.3 m, 3...

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Q: The Detective branch from the Dhaka Metropolitan Police has come to ask for assistance on determinin...

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Q: The value Of (1+1)8, is equal tO O 16 4 4i

A: 1)  f(z) = (x-y)2+ 2i (x+y)Here u = (x-y)2,  v = 2(x+y)ux = 2(x-y),   uy= -2(x-y)vx = 2,  vy = 2for ...

Q: 10. For the following pair of functions, i) functions intersect (by calculating and stating the poin...

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Q: п (х-2)" b) Σ 3 п n=1

A: Given that ∑n=1∞x-2nn3we have to find centered of power series

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Q: Hello need help with this discrete math question, with details on how to do it.  Thank you. A bird...

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Q: Find the Inverse Laplace Transform of

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Q: Secton 5.1 Excerciser # 4

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Q: 1. Calculate the Laplace transform L{(t² – 4) sin(t)}.

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Q: 2. Show that the xy plane W = (x, y,0) in Rº is generated by: (i)u = and v = (ii)u : and v = 3

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Q: 5) A vng R is Called Boolean ving if.... a) x: y? Vx, Ye R b) x xy Vx, yeR c) None d) x:y vx, yeR

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Express () 1+ 2x? as a series in the form of -0 bn. Give me the first four terms of the series. For ...

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Q: Use the property to estimate the best possible bounds of the integral. II. 5 sin“(x + y) dA, T is th...

A: To estimate the best bounds of the integral.

Q: indices. V Lemma 1.1.15. Let p> 1, q> 1 be such that (1/p) + (1/g) = 1. Young's inequality holds: (z...

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Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu, by grouping the ...

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Q: Bessel equation d²y dy +2x- + (x² – 4)y = 0. dx? dx

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Q: For the following data points, a) find the linear interpolation spline b) find the quadratic interpo...

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Q: Equation : Answer

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Q: (b) Find the area of the triangle whose vertices are A(0,0,0); B(1,1,1) and C(0,2,3).

A: Given vertices are A0,0,0, B1,1,1 and C0,2,3. We have to find the area of the triangle whose vertice...

Q: Use Gauss Elimination method to solve the following equations: 4x1 + x2 + 2x3 =9 solve by using naiv...

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Q: (10х — Зу > 9 2. 1x+3у> 24

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Q: 4. sin (4x – y)dy dx 2

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Q: plot some indifference curves for the utility function u(x,y)= x^2 + y with some calculations

A: Given utility function is u(x,y)=x2+y. Plot some indifference curves with some calculations An indif...

Q: Consider the points A(2, –3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of...

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Q: 3. Let E (a, b, c}. Design an NFA that accepts the language L= {a}, which consists of exactly one wo...

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Q: Evaluate L{3e cos 10r cos 41. S+1 s+1 A. 2 (s+1) +16 (s+1) +100 S-1 S-1 B. 2 (s-1) +16 (s – 1) + 100...

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Q: Let f and g be arithmetic functions. If f(n) = Eg(d) %3D ulp for all n, then %3D d|n d|n for all n.

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Q: f'(2) for (x- x)(x² +2)(x² +x- 1) S(x) = %3D x + 2 O 676/5 O 379/7 O 587/3 O 384/9 O 585/4 O 699/7

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Q: Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspe...

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Q: 2. Separation of Variables: Solve for: xy dx + (y + 1) e¯*dy = 0 O xe* – e* – y – 2y² = c O xe* – e*...

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Q: Estimate the root of the function f(x) = e -X – x in four decimal places with interval [0,1], and wi...

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the r...

Q: Use identities +o find the exact value. COs 255° A.) JZ-J6 B.) JE - Z C.) JZ-JE D.) JE -Jz D.) J6- J...

A: We have to find the value of cos 255°.  

Q: Question 3. Given the formula y(s) – y(s – k) y'(s) use the Taylor series y(s + k) = y(s) + ky'(s) +...

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Q: Given: X, + X2 + X3 = 5 X, + 2X, + 2X3 = 6 X, + 2X2 + 3X3 = 8

A: This is a problem of Cholesky's decomposition and linear transformation.

Q: Find the cube root of -8i

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Q: Question 2 If F 2ui – (-u³ + 4)j – u²k and G = t?i – 3tj + tk at u = 1 , t = –1. Calculate: a) F×G a...

A: F = 2ui - ( - u³ + 4)j - u²k  G = t²i - 3tj + tk u =1, t = -1

Q: $.6z cos z*dz, C: |=|=1 4.

A: Given integral is ∮C6zcos(z2)dz   ,   C : |z| = 1