- - 21. Factor fully: 1 − 6x + 9x² − 4y²

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A: We have to find the absolute maxima and absolute minima of the  on the closed triangular plate…

Q: 1. Solve the following linear programmne using the 2-phase simplex algorithm. You should give the…

A: maximize subjected to                       We have to solve the problem by two phase method.Note:…

Q: 9. Let Zs is a ring of integers mod 5 and f(x)eZ,(x) such that f(x) = x²+x+1, then: Zs a) f(x) is a…

A:

Q: Show the general solution of the system of equation as a Real Valued Function, x= (3)x x=(s. -3

A: FINAL ANSWER I have obtained the answers in the below steps.The general solution…

Q: arch Use Newton's Method to find the two solutions of e = 5.5x to six significant figures. 16.5 -1 3…

A:

Q: (a) sec (3+√√x) √x dx

A: The objective of the question is to find the integral of the function sec(3 + sqrt(sqrt(x))) *…

Q: A company produces Carburetor type K and P with the following demand forecasts. Month 1 Type K 60000…

A: A company produces carburetor type K and P with the following demand forecasts.MONTH 1MONTH 2MONTH…

Q: : find e² in the form u + iv for 0.6-1.8i

A: Given data is,

Q: Sketch the function. f(x) = 0.1(x + 1)² (x-2) ³ 3

A: We have to sketch the function

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A: To find out how long ago the coasts were touched, we first need to convert the current separation…

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A:

Q: How many positive integers n satisfy σ(n) = 54?

A:

Q: can you please provide explanations

A: Possible: Graph with 5: 3 vertices of degree 2 and 2 vertices of degree 1. Impossible: Graph with 5:…

Q: Consider the ring R = 2Z and the ideal I = 24Z of R. Give a representative for each coset of I in R.

A: The final answer is given in steps. Explanation:Step 1:Given (R = 2\mathbb{Z}) and (I =…

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A: Given Information:The zero-sum game is given as .Objective:Solve the game by finding the value of it…

Q: Suppose that V is a that has subspaces of U and W. Furthermore, suppose that {u¹, u2} is a basis for…

A: Linear Independence: Since  u1​​,u2​​ and  w1​​,w2​​ are bases for their respective subspaces U and…

Q: Find a particular solution to the differential equation using the Method of Undetermined…

A:

Q: 20 20 Find a basis for the plane x-2y+3z = 0 in R³. Then find a basis for the intersection of that…

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Q: 1. Consider the following sequence xn = 여 1 1 4m, if n is odd 4n-2, if n is even Compute lim sup and…

A: Answer lim sup=lim inf=0  as  n  goes to infinity.Explanation:Step 1: Solution : Step 2:

Q: Compute dr where C is the ellipse 4x² + 2 = 4 (with counterclockwise 32 motion) and F(x, y) = (2++²…

A: Given Information:The vector field is given as .Ellipse equation:  with the counterclockwise…

Q: Robot Company franchises combination gas and car wash stations throughout the United States. Robot…

A: Given:Unit I: Washes cars at a rate of one every five minutes, lease cost $12 per day.Unit II:…

Q: Consider the scalar IVP X= ✗ t+a x(o)=xo a>o Prove a unique solution exists for t>-a using a vector…

A: The detailed solution is provided below.Explanation:

Q: Consider the differential equation dy 319 da == 8k y 4k (3)(2²+(-)-1)- 3 - ky) (2y² + (1 -+- 1 - 8k)…

A: For the given value of K = 4, the differential equation.To find the critical values and classify…

Q: Use the elimination method to find a general solution for the given linear system, where…

A: We have to solve the given system by elimination method

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=4+ Inx;…

A:

Q: Solve the differential equation by variation of parameters. y'' + y = sin2x

A: General solution of given differential equation is…

Q: A mining company exploits two types of minerals, its starting cost is $ 100,000. The cost per kg is…

A: To formulate the problem as a mathematical model, let's define the decision variables and objective…

Q: A force of 15 Newtons stretches a spring 20 centimeters. After a 3 kilogram mass is attached to the…

A: (a) The equation of motion is, x(t)=3​cos(5t−6π​) (b) The amplitude is 3​ meters, the period is…

Q: PLease can you give a full solution, the answer is no opptimal solution, however please can you…

A: Questions above are well-answered, and organized. Every questions are answered based on the given…

Q: Find a solution to the given initial-value problem dy dx = -2y(kek), y(0) = 1.

A:

Q: paved walkway around a garden has an outer diameter of 80 ft and an inner diameter of 40 ft. A…

A: The objective of this question is to find the area of the paved walkway around a garden. The walkway…

Q: question 1 please

A: See explanation below for the answer.Explanation:

Q: Let B = {1, t − 3, (t − 3)² } and C = - - {1, t − 2, (t − 2)²} - be two bases for P2. The function…

A: a=1, b=-2, c=5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: {0}] ER3 such that x+y+z = 0 •} 2. (Your instructor forgot to do this example in class). Let W = (a)…

A:

Q: (b) Consider the vector valued function r = (1 - t)i + (1 - t)i+ (1-t)k, 0≤t≤1. What curve does…

A: Given, the vector-valued function which represents a parametric equation in three-dimensional…

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A: The activity rate for the Setups activity can be calculated using the following formula:Activity…

Q: MAT2114 HOMEWORK 06 3. Let B be a basis for R³ and let v = A (a) Find [v], the coordinate vector of…

A:

Q: 3. Let B= b₁ b2 b3 be a basis for R3 and let v = (a) Find [v], the coordinate vector of v with…

A:

Q: 2. Apply the first phase of the 2-phase simplex algorithm to the following linear pro- gramme giving…

A: Please refer below pages.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: Assume fn: D → R converges uniformly to f and 9: D → R converges uniformly to g. Prove that (fngn)…

A:

Q: 5. Graph the function f(x) = log(x-3) + 1. Identify the domain, the range, and the equation of the…

A: find the i) domain              ii) range              iii) equation of the vertical asymptote…

Q: A non-dimensional model of a glider flying to minimise flight-time in the absence of lift and drag…

A:

Q: 1. (a) (b) (c) Prove or disprove that, for any universal set U and predicates P and Q, [x EU, P(x)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: = Denote by Zm = {[0]m [1]m, [m - 1]m} the ring of integers modulo m. Consider the rings R Z24 and…

A: We demonstrated that, for any two representatives x and y of the same equivalence class modulo 24,…

Q: 1 (a) [0 1 0] Let A= 100 0 0 1 Determine the eigenvalues of A, and state the algebraic and geometric…

A: Given matrix .

Q: (d) The secretion of hormones into the blood is often a periodic activity. If a hormone is secreted…

A: Given, a first-order linear ordinary differential equation: .It is required to solve the linear…

Q: 4. Prove the following statement by contradiction Let x, y Z. Then x²-4y-30.

A: Even+Odd=OddEven+Even =Even

Q: the interest. 1. Principal: $750.00; annual interest rate: 5 percent. What is the interest after 6…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: For each nZ+ let fn : [0, 1] → R, ƒn(x) = 1/(1+x”). (a) Prove that (fn) converges uniformly. (b)…

A:

Q: Find (1+i)5.

A: Need to find .Use Binomial Theorem.