directions: answer the following problems systematically. 1. find a positive number succh that the sum of the number and twice its reciprocal is as small as possible 2. find a positive number such that the difference of the number and its  reciprocal is a large as possible

Q: y -1 1 3 4 -1 2.

A: The curve given is y=6-52x , y=0, x=0,x=1 about the x-axis. The region bounded by the curves is…

Q: Given Equation 1. a 5 and b = -3 2. a 4 and b 5 3. a = 3 andb%3D 4

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Q: Solve for x : (X/a-b ) +( 2x/ a+b) = 1/ a^2 -b^2

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Q: Which of the following equations corresponds to the diagram below?

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Q: b) z² = (x² + y²) – (x² + y²)²

A: see the attachments below

Q: Determine if the following statement is true or false. The equation 2" + 5 = 0 has no solution. %3D…

A: For a positive number n, the logarithm of n is the power to which some number b must be raised to…

Q: Solve the following equations: 3. y" - 2y' + y = x² – 1

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Q: Using your answer to the previous problem, find the general solution to the problem a?y" + xy + (x²…

A: To solve the given differential equation we use method of variation of perameter to find particular…

Q: 6x +5_ 5(2 – x) %3D 2 3

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Q: Of your customer base consisting of paid up customers (x) and customers who still owe money (y) .75%…

A: We will find the linear eq. as following.

Q: Find x and y for which the following equation is satisfied: x+2 = - 5+i i-5

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Q: Solve the equation ny separations of the variables: y' - xy^3 = 0

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Q: Question 2 $-3ar* +2pr² h(r) 4r

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Q: Solve the given set of equations for value of x: x-3z= -5  2x-y+2z =16 7x-3y-5z= 19

A: Given the system of equations

Q: 4* + 2*+1 %3D А. 1 B. 2*-1 С. 2% D.-

A: As 3 questions are mentioned, I will do only the first question,The given Expression is :4x÷2x-1…

Q: Q3) Solve the following graphically and check your answer algebraically a) 2x-3y -13 4x + 2y -2 b)…

A: a) 2x-3y = -13                  (1)4x+2y = -2                    (2) Multiply equation (1) with 2…

Q: Which of the following equations best models the table? 1.5 0.5 0.3 у 5 10 30 50 20 A B y = 6x C y =…

A: We have to find the model

Q: Use the graphing calculator to solve if possible A- -5 7 B-2 3 1 0 3 41 D--3 2 -1 0 Find the value…

A: Given:The given  matrices areA=1051-5703-4  , B=3-5323141-3 , C=5232-10 , D=5-34To…

Q: Toby is x years old. Seth is y years old. Seth is three years less than twice as old as Toby. Which…

A: According to question, we make equation . Toby age = x year Seth age =  y year

Q: If x= v3 + 1, then the value of (x --)² is %3D (a) 2 (b) 1 (c) 0 (d) 4

A: x=3+1 we have to find x-1x2

Q: 1. g(x) = fix) - 2

A: We can solve the given problem using graphical transformation . According to the bartleby guidelines…

Q: Which point is in the solution set for question 10? ys-x²+3 ys-x+2 y> -4

A: Two methods for solving the question is given below

Q: Q3) Solve the following graphically and check your answer algebraically a) 2x-3y -13 4x+ 2y -2 b) 3x…

A: Given the equations  1)2x-3y=-13 and 4x+2y=-2. 2)3x-2y=8 and x-y=1. 3) 3x+4y=5 and 4x+y=-2. We need…

Q: If a1 2 and an+1 (an)2 – 4 then find the value of a3. %3D -

A: V

Q: B = . [1 2] c=2 c = ; If A = 3 4 %3D II. And X = [x3 x4] Solve each of the following equations: 1.…

A: Given, A=1234, B=3110, C=1224, X=x1x2x3x4

Q: both

A: Put value of either x or y from equation 1 and put in equation 2 or value of either x and y from…

Q: x+3 %3D 8. 4. Wednesday Solve and check for any extraneous solutions.

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Q: The equation x 2= 2 x has three solutions: x = 2, x = 4, and one other. Estimate the third solution…

A: Given:

Q: Given the following equation. = 50.13 + 0.73X + ɛ where, Y = number of products sold X= Advertising…

A: The given equation is linear regression line

Q: Answers 1. Solve y+y+y=x*-2x -2x 1. y= C,e+C,xe* +x² -4x+ 4

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Q: Solve the equation in the attached image:

A: Given,

Q: x(x-1)2 / x2 +3x >0  how do i solve this problem using a sign chart?

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Q: Describe in words the variation shown by the given equation : z = k√x/y2

A: Given: z=kxy2 To Describe: Describe in words the variation shown in the given above equation.

Q: Discuss the solutions of the equation a х — 2а — b x + b x + a + 2b where a and b are real…

A: Let us consider fraction problem: A(x)B(x)=C(x)D(x) Solution is given by: A(x)D(x)=C(x)B(x) Next…

Q: Question 11 What is the general solution 2 (2a? + y?) da rydy = 0? C (4z? + y?) O 2? C² (4r? + y?)…

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: Find the general solution of the following equation. y'(x) + 3y = - 9

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Q: Task 1. How many solutions does each equation have? what are the solutions? 1. a2 = 9 2. x² = 0 3.…

A: According to the Bartleby guideline only three sub parts of the question can be solved at one time,…

Q: solve both algebraically and graphically x+y=4 y=3x

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Q: Discuss the solutions of the equation x - a х 2а - b | x + 6 x + a + 26 where a and b are real…

A: Here given as x-ax+b=x-2a-bx+a+2b the given expression is not defined for x=-b,- 2b, -a

Q: Determine whether the following pairs of equations are parallel, perpendicular or neither. 9) у…

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Q: To solve – - 3x2 + 5x + 3 = 2, enter the following expressions into your graphing calculator and use…

A: -3x2+5x+3=2 Here, Y1=-3x2+5x+3Y2=2 Now the graph is,

Q: does

A: Please find the answer in next step

Q: Formulate the following problems as a part of equations, and hence find theirsolutions.Ressa can row…

A: First of all, use the speed-distance formula to calculate speed of rowing in downstream and…

Q: [(x – 2) y (2z-3)]= [(y+ z) 2 (x-1]

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The order of a…

Q: Find the points of Intersection of the graphs of the equations. x+y%= 15 -3x +y%3D 11 (x, y) =…

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Q: Given the equation x + y = -11 three ordered pair solutions are (0, -11) (-6, -5) and (-13, 2). Make…

A: Given  x + y = -11 For  the solution (0, -11) 0+(-11)=0-11=-11 ∴(0, -11) is a solution of the given…

Q: Solve the following equation: y-1 ty%3D1 y+3 O A. -4, 0 B. 4, -1 C.-4-1 O D.-4, 1 O E. 4, 1

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.