2. Use the Binomial Theorem to expand (3x – 2)6

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.

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Q: Identify the following Items using Logic base on the given examples. Truth table ABCD O 0 0 0 O 0 0 ...

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Q: 4- find t he absolute max. and min. o f the function f = x² +y? on the closed triangl Plate boun ded...

A: step1 : Find all critical point ( maximum ,minimum or saddle point ) of a function in the given regi...

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A: The solution is given in the next step.

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Q: 2. Calculate the Laplace transform L{12e cos²(3t)}.

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Q: fx. yl=x'+6x+3y-12 xy+9x.

A: This is a problem of multi-variable calculus.

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: QUESTION 7 Suppose a company is hiring three new sales reps. There are 28 applicants for the positio...

A: Given that Number if sales representatives are hiring by a company=3 Total number of applicants=28 T...

Q: the solution of the givin DE dy =t+y, y(1) = 0, dt at t=1.2, h=0.1 %3D Yexact 0.2428 (find the solut...

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Q: (b) Determine whether the vectors, , and are linearly independent or linearly dependent.

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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: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. 2. Calculate the Laplace transform L {12e¬t ...

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Q: Answer this question For a quadratic equation ax? + bx + c = 0, D = b² – 4ac is called the discrimin...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Determine R (H) if R'(4) - . R

A: We have to find vector R(t).

Q: A professional basketball team plays in an arena that holds 20000 spectators. Average 2) attendance ...

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Q: п (4x)“ a ) Σ 2 п п-1 8

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Q: S, (x + 2y) dx + x dy. C consists of line segments from (0. 0) to (2. 1) and from (2, 1) to (3, 0)

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Q: g (x) = In( 1- 2 x ) a) Series: En=000 Submit Answer 3/8 Brevious ies b) First four nonzero terms: c...

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Q: Sin sin e - I+ sin 0 1-sin& A.) sin Otan O B.) -2 tan2 Q c.)sec@csc@ D.) I+ cot O

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Q: 4- find the absolute max.and min. o f the function f = x² +y? Plate boun ded by = x +y? on the close...

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Q: 1. Which of the following pairs of sets are disjoint and which are not ? (i) {x:x is an even natural...

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

Q: Let X be a random variable with p.d.f f(x) = c+ 1.2x2,0<x< 1. Find a constant c if E(X) = ! 0.6 0.4 ...

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Q: AIB = A BC 4= 12,3,4, 5,6,7, 8,9 A = : { 2,3,4,5 B = { 2, 7,8,9 c ={3博, 3 ) 9子

A: Given sets are  U=2,3,4,5,6,7,8,9A=2,3,4,5B=3,4,8,9

Q: The Fumetion flo)=t kiniten as Paylor series abau x =0 4s. こ deiwmine ihe se ries low and mirite ouf...

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Q: Q1. Solve the recurrence relation x, = 6xn-1 – 9 xn-2 with initial condition x, = 1,x1 = 4

A: We have given recurrence relation ,  xn = 6xn-1 - 9xn-2   with  x0 = 1 , x1 = 4. Take all the term t...

Q: Find gcd(2,3+5i) in Z[i], ii. Show that 3 + 4i and 4-3i are associates in Z[i] iii.Determine the spl...

A: (i)

Q: Linear coefficients in 2 variables: Solve the equation (x - y + 1) dx (x + 4y + 1) dy = 0 O In[(x + ...

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Q: Given points P (4, -2, 5), Q (3, 5, 5), and R (0, 2, 6) find the parametric equation of the line PQ ...

A: Here given point  P (4, -2, 5), Q (3, 5, 5), and R (0, 2, 6) So  PQ=2-4, 5--2, 5-5=-1, 7, 0 PR=0-4, ...

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

A: The data points given is as follows: x -1 0 12 1 52 y 2 1 0 1 0 (a) We are asked to calculat...

Q: 4- find the absolute max.and min. o f the function f = x² +y? on the closed triangle %3D Plate boun ...

A: We have to find the absolute maximum and minimum of function  f(x, y) =x2+y2 In triangle  formed by ...

Q: (2) Show the argument below is invalid (¬q ^ r) → ¬8 -pAr 8 V p^m .. 8 m

A: Given: The argument, p→¬q¬q∧r→¬s¬p∧¬rs∨p∧m_____________∴s→m   To show: The given argument is invalid...

Q: Siven the following: 00 5(-1)"x2n '(-1)"x²n cos(x) = for all x E R (2n)! n=0 ) Find a power series t...

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Q: Let L be the subspace of V that contains all the real n x n lower triangular matrices. What is the d...

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Q: Give McLaurin Series of Cimmon function for sinh x

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Q: PCt) =<5-t, 4t -3,3t7 uking are length Reparami tize parameter from the point (4,113).

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0.3 sin (t) . What is...

A: We have a velocity function and it is v(t) = t0.3sin(t)dt

Q: a) Find the Taylor series representation for f about x=1.5 that is valid for all x € (1,2) -Use the ...

A: This is a Taylor theorem approximation.

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

A: Since you have posted a question with multiple sub-parts , we will solve first three sub-parts for y...

Q: Which of the following sets of vectors in R° are linearly dependent? Note. Mark all your choices. O ...

A: We say a set of vectors v1, v2, ...., vn is linearly independent if              c1v1+c2v2+···+cnvn=...

Q: - dz, C: |--2|=1 2-2

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Q: Use the Riemann sum with n = 2 rectangles to approximate dæ. Round to 3 decimal places. A 0.867 B 0....

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Q: Angela sells cactus plants at a plant show. She pays Php150 per day for the rent of the space. She b...

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Q: Solve the following Second Order Differential Equation dy dx? dy dx +2 + 4y = cos4x

A: Use the given information.

Q: Selve yr-oys tt= P+by uiry monge fins } plean do et faut

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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

A: