Which number b leads later to a row exchange? Which b leads to a missing pivot? In that singular case find a nonzero solution x, y, z.x+by =0X - 2y - Z = 0y + z = 0.

Q: Let u = (4, 1, 5), v = (2, 1, 3) and w = (-a, 2, a). (a) Find a vector of length 6 in the opposite…

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Q: you make and explain how do you know tha is a

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Q: An operator found a 1.3 meters-tall dead man at the bottom of an inverted conical tank that has…

A: Given that the height of the tank is 5m and the width is 2m.  Let the h be the water level at any…

Q: Find the minimum and maximum values of z= 9x + 2y, if possible, for the following set of…

A: LPP using a graphical method  Graph each constraint. Determine corner points. Determine Z and check…

Q: Consider the differential equation (DE): y"" - y"+y'-y = (y(4)) 5 a) Its order is 3 b) Its degree is…

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Q: Given the equation of the circumference, determine the equation of the tangent to said circle at the…

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

Q: Solve xy² - xy + y = 2x, xx (Cauchy-Exter; variation of parameters)

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Q: Suppose the current cost of gasoline is $2.86 per gallon. Find the current price index number, using…

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Q: Prove: If A is an m × n matrix and the column vectors of A span Rm, then A has a right inverse.…

A: let A be an m x n matrix and Column space of A is ℝm. To Prove: A has a right inverse.

Q: Explain an example of Block Multiplication.

A: To Do:We have to explain an example of Block Multiplication.

Q: The sequence {an} defined by an = 2n + 3 for every integer n ≥ 0 is a solution to the recursive…

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Q: Prove that (B\A) U (C\A) = (BUC)\A using: (a) a containment proof. (b) using set builder notation…

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Q: Consider the partial differential equation uxxxx +3uxxyy + Uyyyy = 0. Determine the order of this…

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Q: In a theory of learning, the rate at which a subject is memorized is assumed to be proportional to…

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Q: Find the successive difference constant for the table below. What type of function is described…

A: Given: x y 0 -10 1 -1 2 18 3 47 4 86 The successive differences are: x y First…

Q: V1 = 4 A subspace VC R5 has the following 3 vectors for basis: 1 V2 = 1 0 " = Find an orthonomal…

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Q: Find T5(2), the degree 5 Taylor polynomial of the function f(x) = cos(x) at a = 0. Ts(x) Find all…

A: The Taylor series of a function: f(x) about x=a is f(x)=∑n=0∞f(n)(a)n!(x−a)n. This can be expanded…

Q: Use Lagrange multipliers to find the global minimum and maximum of the provided function f(x,y) on…

A: Given function is                  f(x,y)=x3-3x-y3+12y  ( or )  f(x,y,z)=x3-3x-y3+12y  here z is…

Q: A fossilized bone is found to contain one-hundredth the original carbon ratio. Estimate the age of…

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Q: Find solution to initial value problem y (0) = 3 & y²(0) = -1 y 11 =64

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Q: Want to prove: a = inf L exists in S a = sup B

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Q: Questions: 3 -1 7 3 9) -2 2-2 75 -59 3 34 -2 6 6 3 7) [1] Find p and q such that Nul(A) is a…

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Q: 12. Work backwards and come up with a tire size that would give a circumference of approximately 120…

A: 12.  We have the formula for circumference of a circle of radius  R  :               Circumference =…

Q: On what region of the xy-plane does the differential equation would have a unique solution that…

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Q: For each of the following functions find the inverse or explain why no inverse exists. (a) f: NN…

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Q: 2- Prove thatthe following statements are true (7) or false (F). (let log n = log₂n). You must…

A: (a). Given,                            n3log n∈Onk,         for any integer constant 2≤k≤4.

Q: = 6 will make = 14 will make mTM, Inc.

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Q: Which of the following can be concluded from the statement "None of the students know the quadratic…

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Q: [11] Assume that T is the linear transformation that maps the unit disk onto the ellipse as shown in…

A: Given that

Q: The nature of the stationary point(s) of the function f = 11 x²2 -8 y² + 2x + 11 y + 3 is(are)…

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Q: 1. (2²-1 16)5/2 dx dx 2 √ (16 +2²)³ 3. / dx (16-x²)3/2

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Q: v = Let H be the set of all vectors of the form 3s H S S Find a vector in R³ such that H = span {v}.

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Q: Let k be any integer and S= {a.a2.....am) be a CRS modulo m. Show that k+S;= {k+aj, k+ a₂,...,k+am}…

A: We use the definiton of CRS to show that k+S is also a CRS mod m

Q: What 3 by 3 matrix E21 subtracts 4 times row 1 from row 2? What matrix P32 exchanges row 2 and row…

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Q: You are constructing a 12 cubic feet box with five wooden sides and a glass front. If the wood costs…

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Q: Give the Dedekind cuts in ℝ ≥0 corresponding to the following. Your definition should not refer to…

A: We have to find Dedekind cuts in ℝ ≥0 for the following: (i) 6. (ii) 53. (iii) 2+5. As per policy,…

Q: Question 3 Use the definition of divisibility to justify your answers to the following questions. a.…

A: By using definition of divisibility, to answer the given questions

Q: Prove the following statement by induction. Theorem. Suppose n is a positive integer. Then 1 Σ k(k+…

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Q: Q6 Determine whether diverges. √p+81n4 VP+81n² (8p+p²n+n² 8p+n+p² n=0 + Converges or

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Q: 5. Show that {x² − 2x+3, 3x² − 2x + 5) is a subspace of P₂ (R). Define the subspace. -

A: We have to show that x2-2x+3 , 3x2-2x+5 is Subspace of P2R. Also define : Subspace .

Q: 2. Let f(2)= (2-2) sin ¹ (2+2) (a) Find and classify the zeros of f. (b) Determine and classify the…

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Q: Sketch the space curve. Vector-Valued Function r(t) = -ti + 5tj + 2tk 5 ** 11 0 Z 2 2 Interval [0,…

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Q: The characteristic equation of a linear homogeneous recurrence relation of degree 7 with constant…

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Q: Prove that the following statements are true (7) or false (F). (let log n = log₂ n). You must define…

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Q: Give the substitution that converts the given nonlinear equation into a linear equation then find…

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Q: A third order linear, homogeneous DE whose general solution is  is: y(t)= c1e^(t) + c2e^(2t) =…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: (d) (e) 5x = 2 (mod 6) 4x = 13 (mod 15) x = 19 (mod 36) x = 7 (mod 21)

A: In this question, we have to determine if the following congruences are solvable and find all…

Q: Solve the given equation.. X +5y=7x², y(2) = 5 dy dx a. y(x) = x² + -3232 c. y(x) = x² + b. y(x) =…

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Q: Consider the following game in normal form: Chikorita What is the Nash equilibrium of the game? O…

A: A pure Nash Equilibrium is a pair of strategies is a pair of strategies r~, s~ such that the…

Q: a) Prove 2 {y }=$ £{y} -y (0) Using the integral definition of Laplace transform: 2 {FH)} = So f (t)…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.