Solve the proportions word problems: 1) A basketball team wins 7 of its first 12 games. How many games will it win out of its first 36 games if the team continues to play with the same degree of success? 2) A crew of 10 mechanics takes a week to overhaul 25 trucks in a fleet of 100 trucks. How many mechanics would it take to complete the fleet overhaul in a week?

Q: Determine all the roots of z8 – 2z4 + 1 = 0

A: We determine all roots of  z8-2z4+1=0.......(1)

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Q: The P-test says that: • the series 1 converges if p? 81 kP k=1 1 diverges if p ? e 1 • the series kP...

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Q: Consider the system of linear equation below: A+ 2B + 3C + 4D = 8 2A - 2B - C + D = -3 A - 3B + 4C -...

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Q: x2 +1 3. xe dy + dx = 0

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Q: The domain of the function f(x): 11x+8 is x+4 • R-{-4} 10 • R • R-{8} • R-{11}

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Q: Select an Answer 1. 3 -9 15 21 1 -3 7 -2 7 -11 -17 Select an Answer 2. -2 -6 -1 -3 1 4 Select an Ans...

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Q: 1. [(b- 1)/ (8b? - 8b)] • [6b? + 8b] 2. [(x? + 2x) / 3x + 6)] • [(3x + 3) / (x + 1)] 3. [(3x + 21) /...

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Q: (b) D = the set of positive integers R= {R1, R2} R1 = the arithmetic predicate = “x equals y" R2 = {...

A: Please check the answer in next step

Q: 5 2.51. s(s-2)3

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Q: Solve by the cigenvalue-cigenvector method the following differential equations: (0) r2(0) ]-[ 4. %3...

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Q: Given the relations on the set of real numbers, R1 = {(a,b) e R², a > b}, R2 {(a,b) e R², a > b}, R3...

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Q: Problem 10. (a) Show that B = {v1, v2, V3} and B' = {v,v½, v3}, where (2 1 1), v2 (2 -1 1)', v3 V3 =...

A: Note:-  As per our guidelines, we can answer the first part of this problem as exactly one is not me...

Q: Q3) By using Graphical Method. Find the optimum solution of X1 and X2 that the maximize Z=X1 + X2 su...

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Q: (24) Let elt-x)A - B(x) 9(A) = (25) et Differentiating o(A) and setting the derivative equal to zero...

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Q: Q1 Solve the following differential equations dy X-y+3 2x -- 2y + 5 dx 1)

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Q: Find the Fourier scries of the function f(x) = |x| for -1 <x<1.

A: We find the Fourier series of the function  f(x)=|x| for -1≤x≤1.  

Q: Calculate the range of f(x,y) using this equation f(x,y)=2x2+y2+1 and the given figure.

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular ...

Q: 2 Howin show that

A: This is a problem of partial derivative and chain rule.

Q: Samuel sells furniture. He receives a base salary of Php 2400 a week plus a commission on his weekly...

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Q: 23. Discuss the uniform convergence of the series (-1)"x" on R n(1+x") (i) E In x ,x21+a>1 (-1)" sin...

A: Thank you for your question. As per our guidelines, since it is a multiple part question, the answer...

Q: converjent

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Q: Select the smaller of the two numbers

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Q: Find a suitable form for particular solution of the differential equation 16y(4) – 8y" +y = tPe? + (...

A: Introduction: There are many different methods to determine the particular solution of a given ordin...

Q: Find the particular solution of y' - 2y = e3x if y(0) = -5 using Laplace Transform. %3D %3D

A: The given initial value problem is                                               y'-2y=e3x , y(0)=-5...

Q: Evaluate the moment My and My of the region bounded by y = 2x + 1, x + y = 7 and x = 8.

A: evaluate the moment Mx and My of the region bounded by y=2x+1 , x+y=7 , x=8

Q: Prove that the set V of all real valued continuous (differentiable or integrable) functions defined o...

A: We have given that , V is a set of all real valued continuous functions defined on a , b with vector...

Q: Determine if the series converges or diverge: n Zn4 + 1 (-1)3n n=1 Consider the power series. Use th...

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Q: Evaluate the moment Mx and M, of the region bounded by x = 2y – y? and the y=axis.

A: A double integral involves the integration with respect to the product of the variables x and y. The...

Q: Solve the given linear system using: 1. Gauss-Jordan Method ( Elementary Row Operations ) H. Cramers...

A: The given system of equations                                              x+3y-6z=-233x-2y+3z=165x+...

Q: Exercise 2 Let f be the function defined on [0, 1] by { sin(-), if x # 0; if r = 0. if x + 0; f(r) =...

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Q: Let f(z) = e10z %3D Part (a) Find the integral of the function f(z) on the circle of radius 2 center...

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Q: -11. Which model seems most appropriate for this scatter plot? a. linear b. quadratic c. exponential...

A: Given:

Q: Calculate the months supply of warehouse speace in a market that absorbed 45000 square feet last yea...

A: Total supply in the last year = 145,000 vacant square feet =10,000 Out of that   are ; in monthly (1...

Q: Solve the problems below that pertain to constructing a fence. (a) A farmer wishes to enclose 6,724 ...

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Q: 6. Let f(x) = 1-x for 0<x<1. (a) Sketch fo(x), the odd half-range expansion of f(x), over the interv...

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Q: Use the cutting plane method to solve the following IP: max z = x1 + 2x2 x1 + x2< 10 s.t. 2x1 + 5x2 ...

A: First draw the line x1+x2=10 and mark the region for the inequality x1+x2≤10.

Q: 2. A number U is selected at random between 0 and 1. Let the events A and B be "U differs from 1/2 b...

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Q: Problem 2. Let c1, C2, C3, C4, C5 be the column vectors of the matrir 3) A = [1 2 1 -3 5 2 35 5 9 1 ...

A: (.)  If a set of vectors { v1 ,v2 ,............,vn }        contains a zero vector then set  is     ...

Q: Translate the Eqyptian numbers into Base-10 numbers wwww. Submit Submit T. ff fffff999N

A: Here given two Egyptian number    

Q: Find the truncation error of the following Maclaurin series given that it is truncated into 3 terms.

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Q: 1. Evaluate L(sin)) L(e-t cos 4t) 2. Is L(t? cos 4t) = L(t²)L(cos 4t)? c. %3D

A: 1c We have to evaluate Le−tcos4t. Apply Laplace transform rule: If Lft=Fs then Leatft=Fs−a. Here, fo...

Q: Discuss and trace the curve of the following equation. 2. y = x+3 у %3D 1. у %3D x²-16

A: The general form of a polynomial function is given by a0xn+a1xn-1+···+an, where a0, a1,···,an are co...

Q: Evaluate the moment Mx and M, of the region bounded by y = 2x + 1, x + y = 7 and x = 8.

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Q: Find the volume of the solid generated by revolving the area bounded by x? – 2kx – 2ky + k² = 0 and ...

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Q: Try to fit any two moving averages models to the following data and discuss its performance. YEAR 20...

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Q: iven the set of all nxn matrices. define X~Y iff there xists an invertible matrix FAF^-1 =B. Check t...

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Q: Consider P4 be a set of all the point on a plane through the origin in R4. The general equation of a...

A: Here , P4 be a set of all the point on a plane through the origin in ℝ4. The general equation of a p...

Q: Give the equation of the normal line the graph of sin" (x³) + (log3 y) 3 aut le 1)

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