Given the tree below, find the following  a) Which vertex is the root? b) Which vertices are internal? c) Which vertices are leaves? d) Which vertices are children of j?

Q: (i) X= “ABCDBCDC” and Y=” BCDCD” (ii) X= “POLYNOMIAL” and Y= “ EXPONENTIAL”

A: This is a problem of counting and finite math.

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Q: I. Show that the function f defined by (x, y) = (0,0) %3D f(r, y) = (x, y) # (0,0) x+y is not…

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Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx/T) + log3(r – y)* Do as indicated. 1.…

A: Given data The function g defined by g(x,y)=cosπxy+1log3x-y

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Q: Write a fifth-order differential equation that has the following general solution: Cез* + Сzе-2х +…

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

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Q: 3 Let A = 1 Find the complex eigenvalues for A and eigenctors for each. |-1 3 Enter the eigenvalue…

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Q: Use Laplace transforms to solve the following differential equations. a) + 5y = 3 , given that y = 1…

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to +…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: Solve the value of x in system of equations. 2х + 4y - 2z %3D 0 Зx + 5y = 1 а. 2 — 5t b.s с. 3t — 1…

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Q: Which radical expression is equivalent to t? Choose 1 answer: A B Vi 1 (VE)3 1 Vi

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Q: Let g : B → C and h : B → C be functions. Suppose that go f = hof for every function f: A → B. Prove…

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Q: +2)

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Q: 3. A student wishes to estimate the area of a garden. He measures the width of the garden at regular…

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Q: Given the following results of the height and weight of 1,000 men students : 3= 68", X-150 lbs,…

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Q: 3 Find x such that the matrix B = is -2 -3 equal to its own inverse. а. 4 с. 9 b. 6 d. 10

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Q: Find the solution set of x- 4y + 3z = 1. а. (1, 0, 0) b. (-2, 0, 1) с. (1 — 4s + 3t, s, t) d. (1 +…

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Q: Consider the curve r = e°. Note that as 0 approaches – o, the radius: e° approaches 0. This means as…

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Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

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Q: Q1. a) Find the Laplace transform of the following expression by using transform tables. f(t) = t +…

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Q: 5. An examinee of the National Medical Admission Test (NMAT) got a per What does this imply relative…

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Q: 1) Š(-1)"- n²2" n=1 b) Find the minimum number of terms of the series that we need to add in order…

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Q: 5. Let o1, 02, 03 be the Pauli spin matrices 0 1 1 0 1 03 = 01 02 i and oo = I2. Consider the vector…

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Q: H.W p.564/ use Trapezoidal method and Simpsons" 1) Jo Jitx? dx n = 4 2) S e** dx n = 4 3) . V1 + x3…

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Q: (c) Use de Moivre's formula to write down a formula for all of the n-th roots of z = rexp(ie). In…

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Q: 7. xdx + ydd = 8. (2x2 + y)dx + (x²y - x)dy = 0 (x² + y²)dx

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Q: 11. The figure below provides a graphical depiction of a dataset with 4 data points (x,y) and the…

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Q: IF R= 5B-2C find the value of the following R10 13 W16 11 14 17 r32 #12 15 18

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Q: Graph the following polynomial function. Find all the stationary points. Use the second derivative…

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Q: (i) Determine P after 5 years if r = 0.07.

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Q: Clarify that f :R → R defined by f (x)= 1 is uniformly continuous. 1+x?

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Q: 3. Write a differential equation to describe each of the following situations. a) The number of…

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Q: 2х-1 7. Into how many partial fractions should dx be decomposed such that the (x++2x²+1)(x²–1)2…

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