Create a list of ordered pairs for the relation between student and mark. Then create a mapping/arrow diagram for the relation between the student and mark. State the domain and range for the relation. Does the relation represent a function?

Q: 1. Larex is 12 years older than Joneil. Five years ago, the sum of their ages was 28. How old are…

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Q: 5. Find the series solution of y" + xy' + y = 0. Show all the work. Be extra neat and clean and have…

A: Given DE y''+xy'+y=0 …………………(1) Here, P0(x)=1 , P1(x)=x , P2(x)=1 At point  x=0 : P0(0)=1≠0 So the…

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Q: 8. Let S be the surface defined by the vector function R(u, v) = (v + 4, 4u - v, uv²). Set up an…

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Q: White inequalities to represent the situations below. Amandas acneecises at 35 minutes par daதுட…

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Q: 1. R: y = x², y = 2x² - 3x

A: Consider the given equations of the curves, y=x2y=2x2-3x The graph is shown below,

Q: * (t) = 1 + cos ( 6T t + T ) ans =F(W) = 2T 8(W) + T = = ~ [S(W-(T) 8(w+Kx)} 100

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Q: ∞ Determine whether the series Σ n=0 e B. | 元 n Select the correct choice below and, if necessary,…

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Q: (a) (b) W₁ = x14x2 + 8x3 W₂ = x1 +4x2+2x3 W3 = -3x1 + 2x25x3 W₁ = 2x1 + 7x2 - 4x3 W₂ = 4x13x2 + 2x3

A: Given that (a)          w1 = x1 − 4x2 + 8x3          w2 =−x1 + 4x2 + 2x3          w3 =−3x1 + 2x2 −…

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Q: Check convergence of cos s-¯¹ ( ²2/1). -n=1 COS (41)

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Q: The figure below shows the graph of a quadratic function, f(x), whose limit at an unspecified…

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Q: Expand f(z) = f(z) S...T cBook 1 (z-1)(z-2) z>2 in a Laurent series valid for the indicated annular…

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Q: Determine the general solution of the given differential equation. y"" - y" − y + y = 5e-¹ + 4 NOTE:…

A: The solution is given in the next step.

Q: Given the general vector A=(sin20) a_ find the curl of A at (2,π/4,0) O-0.5a_z 0.5 a_ - a_p 2a_z

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Q: f(x) = 2x + 1 and g(x) = 2x^2 + x - 4. Determine (a) f(g(x)) (b) f(g(1)) (c) f^-1 (f)

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Q: 2. Express every solution to the following equation as the sum of a specific solution plus a…

A: Using elimination process Taking t as scalar

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A: Given series is 23 - 35 + 47 - 59 + ...

Q: Let f(x) = (x-2)³. Using the centered 3-point formula for 1st derivatives: f'(0) 12.01 using h = 0.1…

A: As per the question we are given the 3-point approximation of the first derivative of the function…

Q: a. Show that the Bessel equation of order one-half x²y² + xy + (x² − ² ) y = y = 0, 4 can be reduced…

A: (a) Consider the given Bessel equation, x2y''+xy'+x2-14y=0, where x>0 Since, we have given that…

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Q: For each ordered par, determine whether it is a solution to the system of equations 3x-2y=-8…

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Q: 2. Find f(2.6) by interpolating the following table of values. Using Lagrange interpolation. i xi yi…

A: Given that

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Q: A SERIES ELECTRICAL CIRCUIT WHICH YOU ARE TESTING FEATURES A CAPECTIOR (C) CHARGING VIA A IMS…

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Q: Determine the zero and its order for the given function. f(z) = (2+8-1)² Zero "1 Order

A: Given function is f(z) = z + 8 - i2

Q: Find the interval of convergence of the following series: X 1.2 + O-2≤x≤2 O-2<x<2 O-1<x< 1 x² 2².22…

A: Given series is x1·2 + x222·22 + x332·23 + ... + xnn22n + ...

Q: Determine the zeros and their orders for the given function. (Order the zeros from smallest to…

A: This a simple question of complex analysis to find the zeroes of a function. The answer is given…

Q: 1. Consider the weighted voting system [62: 10, 10, 10, 10, 8, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2]. Find…

A: Given that The weighted voting system  [62 : 10, 10, 10, 10, 8, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2]

Q: ). Use the method of undetermined coefficients to find the general solution to the given…

A: We use method of undetermined coefficient to find general solution of given differential equation.

Q: Question 58) In this question, use Theorem 1.8.2 to show that T is not a matrix transformation. T(x,…

A: Given that T(x, y) = ( x2, y)

Q: suppose there is a matrix A, A= 60 0 -3 O оо 6 30 03 о 0 4x4 1. proof there are projections V₁, V₂,…

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Q: 6. Write down all the set-partitions P of [5] such that for every BEP, if x € B and y EB then lyx ≤…

A: Please find the answer in next step

Q: Find the general solution of the following equation valid near the origin: (1+4x²) y¹¹-8y=0…

A: Given: Let us consider the given differential equation, 1+4x2yιι-8y=0

Q: 1/2 Consider a consumer with the utility function u (x1, x2) = x₁¹ + x2. Suppose the cost of…

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Q: Consider the weighted voting system (16: 18, 5, 3, 3, 1). Are there any players that are dictators,…

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Q: Using multiple linear regression, estimate the values of a, b and c in the given regression model.…

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Q: In Z{x}, Let I = {f(x) ∈ Z[x] / f(0) is an even integer} Prove that I = is I prime ideal of Z{x}?…

A: It is given that,  ℤx is a ring and I = f(x)∈ℤx : f(0) is an even integer. (i) Prove that I = x, 2…