#+2ife <0 Graph the function. f(a)= 3if0 ≤ ≤ 2 -+3ifr>2 I on the coordinate plane.

Q: Determine the equation of the function shown below. T S 15 10 b ' (2,4) N

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Q: 3 The revenue in thousands of dollars of a small coffee shop is modelled by f(x) = 1.5x + 2x - 3x² +…

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Q: True or False and Why. (a) {{a}, {b}} = {a, b} (b) A = {A} where A is a set (c) {{c}, {d}} = {c, d}…

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Q: Suppose E is a bounded, nonvoid set of real numbers. Define |E| to be the set { x: x = E}. Is it…

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Q: Let S = (2,5]. True or false? VxSyy>x • A. True • B. False True or false? VxSy € Sy<x • A. True B.…

A: This is a question of Real Analysis. In particular it is a question from the real number set with…

Q: explain how you would find the asymptotes for f(x)=3x-2/x+5 then determine equations of all…

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Q: Q/ Define the Laplace Transform and then Calculate I¹S 1 S² (S²³² + 1) + S-2 (S² + 1) }

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Q: r рла (~pv~9) Vr (~p1^9)~r Р Plairi

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Q: (c) Give an example of an alternating series that diverges.

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Q: a) Sketch a possible graph of a polynomial function that meets all of the following criteria: [4C]…

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Q: Given the function f(x) = 3(x - 1)2(2-x), state the end behaviours, the number of turning points,…

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Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)²e¯× dy…

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Q: Which graph of ƒ corresponds to the graph of ƒ' in the figure? (I) ƒ'(x) XXX ↓ X -1 1 -1 (II) (IV)…

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Q: Q/ Use the hypothesis V= y and u=X To Solve the differential equation (2x+7) xdx (3X² + 2y_8) yd Y=o

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Q: Write the augmented matrix of the system and use it to solve the system. 10y 6z + 7y + 6z + 2y + 2z…

A: Solution:

Q: For the following alternating series, (0.5) ³ (0.5) 5 + 3! 5! (0.5) 7 7! Σ an 0.5- n=1 how many…

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Q: 9-x 0=A

A: Solution

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Q: 0.8 0.6 0.4 0.2 of -0.2 -0.4 -0.6 0.5 1.5 2 5 A direction field for y'= -(2xy2 + y³) 2.5

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Q: 7. Describe and sketch the surface in R³ represented by the equa- tion x + y = 2.

A: Answer given below.

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Q: In Z[x], the ring of polynomials with integer coefficients, let I = {f(x) E Z[x] |f(0) = 0}. Prove…

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Q: Test the linear independence of a) v1= v2= v3= b) u1= u2= u3= Express v3/u3 as linear combination…

A: The given vectors are a) v1=1, 3, 5v2=2, 1, 6v3=5, 2, 3 b) u1=2, 1, 6u2=3, 1, 7u3=5, 2, 3 We have to…

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Q: using by Method of Trioungular Decomposition (Lu) X1 +3X2 +8*3=4 X+ +4X2 + 3X3 -- 2 X++3X2+4X3-1

A: The given system of equation is  x1+3x2+8x3=4x1+4x2+3x3=-2x1+3x2+4x3=1

Q: 2. Find the gradient of the function f(x, y) = ln(x² + y²) at the point(1, 1).

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

Q: Let F be a field and let p(x) be irreducible over F. If E is a fieldthat contains F and there is an…

A: Given: F is a field and px is irreducible over F. Also, E is a field containing F and a∈E such that…

Q: 22 2 b) Find S, the sum of series=+=+ 3 15 35 c) Hence, find Sas n→∞. ·+...+ 2 4n²-1 in terms of n.

A: (b)The given series is: 23+215+235+ . . . +24n2-1. We have to find the sum of the series, Sn. (c) To…

Q: g) (80.21g-79.93 g) / 65.22 cm³ = h) (92.12 mL )(0.912 g/mL) + 22.02g = i) (1.41*10')g (5.98 * 10°)…

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Q: Use the method of dividing by prime factors to find the greatest common factor of the following…

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Q: Given the functions below, find the following: Round answers to 3 decimal places as needed. 6 k(v) 5…

A: The composition of two functions k and f is k ∘f.  And (k ∘f)(v)=k(f(v))

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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