2.1 Proof from first principles (i.e. use an € - d argument) that f(x) defined by ={ x² +2 if x ≥ 2 2²+2x8 if x < 2 is continuous in z = 2. f:RR with f(x):

Q: 2. Solve the boundary-value problem dr² v(0,t) = y(5,t) = 0, y(x,0) = 0, yx,0) = 5 sin mx.

A: ytt=4yxxy0,t=y5,t=0yx,0=0ytx,0=5sinπt

Q: QUESTION 3 (a) If F is continuous and is a fundamental matrix of X=AX, then show that a particular…

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Q: Solve the following system of linear equations in the two unknowns X1 and x2. 1x₁ + 2x₂ = 3 = 6 4x₁…

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Q: 3. Let the domain for the variables x and y be all people in our IST 230 class. Define the predicate…

A: Let the domain for the variables x and y be all people in IST 230 class. Here predicate K(x, y)…

Q: 2 For the following LP, x2 and s, are basic variables in the optimal tableau. Use the formulas of…

A: The given LP is max z=-x1+x2  2x1+x2≤4x1+x2≤2x1, x2≥0 We have to find the optimal solution.

Q: Find the measure in centimeters of one leg of a right triangle if the measure of the hypotenuse is…

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Q: (b) In each of the following situations find a formula describing the locus of the point P, in…

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Q: Using the washer method, set up an integral to find the volume of the solid of revolution obtained…

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Q: Find the distance d from the point P = (6, 1, 4) to the line r(t) = (4 + t)i + (1 + 2t)j + (1 +…

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Q: A. 1.9 × 10-19 J B. 2.5x 10-19 J C. 3.5 × 10-19 J D. 2.9 × 10-19 J E. 1.5x 10-19 J Q3. Which of the…

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Q: A factory produces two types of widgets: Type A and Type B. The factory uses the Gauss-Seidel method…

A: Given that, A factory produces two types of widgets: Type A and Type B. The factory uses the…

Q: Let V be a vector space over a field K. (a) (b) # Prove that for all u EV and all c E K, if cu = 0,…

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Q: An individual purchased a 5-year, $10,000 promissory note with an interest rate of 5.5 %/year…

A: Answer given below.

Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. + y = f(x), y(0) =…

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Q: 15. To what other expressions in the form a) (16) b) (²¹) + (²1) is each of the following equal? -…

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Q: Five and a half years ago, Chris invested $10,000 in a retirement fund that grew at the rate of 7.82…

A: Given that The principal amount P=$ 10,000 Interest rate r=7.82%=7.82100=0.0782Compounded quarterly…

Q: Use inductive reasoning to find a pattern and make a reasonable conjecture for the next three…

A: Given:  A series 1 , 4 , 2 , 5 , 3, 6 , 4 , 7 , 5. To Find : Use inductive reasoning to find a…

Q: Find an equation of the sphere with center (3, -11, 6) and radius 10. Use an equation to describe…

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Q: Practice Problem 3. For any positive numbers a and b with a <b, show that [³ sin(x) x² a Hint:…

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Q: Study the continuity of the next function x²y² x²y² + (x - y)² 0 - f(x, y) = if (x, y) = (0,0) if…

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Q: Let p and q be the propositions ”The election is decided” and ”The votes have been counted”…

A: Answers   a) The election is not decided and the votes have been counted.   b) If the votes are not…

Q: 1. Let a, ß EN. Let f(x, y) = af дх rªy³ x² + y² for (x, y) = (0,0). that f is continuous on R².…

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Q: A tailor must make 7 of the same size suits for a client. The first suit took 13 hours to make and…

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Q: Find the critical points, domain endpoints, and local extreme values for the funct y = 3x₁

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Q: Identify the pattern in the list of numbers. Then use this pattern to find the next number. 2, 7, 9,…

A: Use the given information.

Q: 2.) Sketch (1₁-2, 3) and (-3/31²/31-1). vectors point in opposite directions? • Why?

A: Given: 1, -2, 3 and -13, 23, -1. We have to sketch the given points. Also, explain why the vectors…

Q: Given x(t) = 9at³ - 3Bt-². dx dt (A) Find dx (B) Given a = 5.30 m/s³ and ß = 150.0 m s² evaluate at…

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Q: It costs Lannon Fields $28 of variable costs and $12 of allocated fixed costs to produce an…

A: Given the fixed cost to produce trash can is $12 and variable cost is $28. A buyer buys 3000 units…

Q: Let p(z) be a polynomial with complex coefficiants and defree less than or equal to 2. It is true…

A: Given that, pz is a polynomial with complex coefficients and the degree less than or equal to 2. A.…

Q: Find the distance d between the two parallel planes x + 2y 2z = −2 and x + 2y = 2z = 1.

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Q: 17. F(x) = 2x² + cos²x

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Q: D4 +D²) y = -12 ind the particular solution using inspection and show tions for my review.

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Q: (4) Give an example of a set A and a set B so that A is infinite and B is infinite and An B is not…

A: Due to Bartleby answering guidelines I have solved only first question (question 4.).

Q: 2. Consider the infinite series defined by Σ(2) (a) What is the value of r from the ratio test? (b)…

A: ∑n=1∞2n!22n

Q: • Solve using Bernoulli's equation 2ydx + x(x² In y − 1)dy = 0 a.y(1 + x²-x² In y) = cx² ● b. y(1 +…

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Q: Find the sum 1 1 + 3 3² + 1 33 34 + X 1 35

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Q: 6. The altitude of a rock climber t hours after she begins her ascent up a mountain is modelled by…

A: Answer given below.

Q: (b) f(x) of ƒ'(x) = x+xe²² with ƒ(0) = 1/2

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Q: Find the point P of intersection of the plane x + y − z = 3 and the line *+² = - = 2. (Express…

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Q: According to data, the accident rate as a function of the age of the driver in years x can be…

A: fx=46.5-2.26x+0.0298x2

Q: 3 10 Does the series converge or diverge? Select answers from the drop-down menus to correctly…

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Q: any cubic polynomial f = K[r] can be written in the form f = r³+ar+ b. change of varillible

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Q: A survey was conducted among 74 patients admitted to a hospital cardiac unit during a two-week…

A: Number of patient : 74 Patient with high blood pressure: nB=30 Patient with high Cholesterol level:…

Q: Find the critical points, domain endpoints, and local extreme values (absolute and local) for the…

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Q: a) Find the Laplace transform of f(t) = t cosh 2t sinh 3t.

A: ft=tcosh2tsinh3t Note: We are allowed to solve one question at a time

Q: Consider the conditional p→q. Show that the contrapositive of the contrapositive is the original…

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Q: A matrix has 4 rows and 5 columns. The first column of the matrix represents the coefficients of x,…

A: We have to find the value of x, y and z and established a matrix of 4 row and 5 column.

Q: Exercise 2. Suppose that f: A → B, and let CCA and DCA. Prove that f(CUD) = f(C) u f(D).

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Q: Evaluate: 00 n= 1 PP n

A: The pentagonal pyramidal numbers are 1, 6, 18, 40, 75,... Then the generating function can be…

Q: Find the present value of the ordinary annuity. (Round your answer to the nearest cent.) $150/month…

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