Exercises for Sets and Functions Q1) How many elements does each of these sets have? b. P(Ø, {Ø),{Ø, KØ c. P({aj bị c) 02)Let A, B'are the following sets A (1 2 1 2 01 B {x | xisa real number and (x²+1) State which stätement is trde or false? ミBAS d ej and B= fa, b, c d̟ e, f, g. h find: et A 防 A. AUB B. AB CA B D. B

Q: By applying Rolle's theorem, check whether it is possible that the function roots. Answer: ?

A: The given equation is f(x)=x9+x-6 f'(x)=09x8+1=09x8=-1 If f(x) has two real roots then By Rolle's th...

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Q: Catherine drives 20 miles faster than her father, Gary. In the same time that Catherine travels 325 ...

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Q: 2. Separation of Variables: Solve for: xy dx + (y + 1) e¯*dy = 0 O xe* – e* – y – 2y² = c O xe* – e*...

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Q: = xye-(a*+v'+z*). Find all points (x, y, z) such that Vf(x,y, z) Question 2. OConsider the function ...

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Q: tu(s) = cos(4 - sin(3s)) and the mesh s= so+ ih, where so= determine the central finite difference f...

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...

Q: Find the root of the function using newton’s method.

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Q: a) If A belongs to B and B belongs to C, then A belongs to C. b) If A belongs to B and B belongs to ...

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Q: Evaluate L{e (sin3t + cos 5t)}. 3. s+5 A. +. (s+5)+9(s+ 5)+25 3. s-5 В. (s-5)-9 (s-5) +25 s+5 C. (s+...

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Q: Graph the linear inequality y ≥ 3x + 5

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Q: Determine whether the given function is a solution to the differential equation and find the particu...

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Q: rate

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Q: Find the area of the largest triangle shown on the right. 10 in. 7 im 8 in The area of the largest t...

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Q: 2a) Find the area of triangle PQR where P is (4, 2, 5), Q is (3, -1, 6) and R is (1, 4, 2) [1 2 31 2...

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Q: I don't understand how the Wronskian method is being applied.

A: Wronskian is a method by which in a differential equation we check the solution of the differential ...

Q: A. Write the missing term/s in the given series of numbers. 1. Find the next three terms in: -14, -1...

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Q: True or False 1.There are infinitely many values of the logarithm of a complex number z if you add ...

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Q: A solid body of revolution has a radius r = 2x2 + 0.2x, 0 <x < 0.5 Find its volume • 0.5 V = Tr?dx b...

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Q: Find all distinct eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eige...

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Q: A. Find F(s) for f(t) = sin? 4t LIcing cocopd chifti ng theorem find Fle) whore f(+) -4t ain 2+

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Q: 22. Given the function f at the following values, 1.8 2.0 2.2 2.4 2.6 f(x) 3.12014 4.42569 6.04241 8...

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Q: 1 -3 -1 -5 3 3 Transform the matrix A = 1 3 to reduced row echelon form (RREF). 5 7 9 1 1 3 -1 Hence...

A: According to our guidelines I solve first 3 subparts so kindly request you to repost the remaining q...

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Q: 2 Consider the IVP (x + 1)²y" – 2y = 0, y(0) = 1, y'(0) = -1. Determine all ordinary points of the d...

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Q: QI: For v = 2 x²y +x²y- y,check the function for harmonic and then find f(z).

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Q: 2. + 2y = cos(x) 3. y cos(x)dx + 3sin(x)dy = 0 dy 4. dx 1-2у-4х 1+y+2x

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f{t)} ...

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Q: 3s – 5 E* [(s -5)(s + 2)2]

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Q: 7. Determine the set which is equal to this infinite union: Justify your solution.

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Q: Evaluate L{e" (r +r* –-1)}. 6. A. (s–2)* (s-2) (s -2) 6. 21 B. (s+2)* (s+2)' (s+ 2)* 2 C. (s-2)' (s-...

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Q: + e sintil dxdydz yz In3 ...b.. dxdydz..Anss. ............ ........... ...

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Q: (K", || |,) is called the LP-norm on K". is a normed linear space for 1 <PS00. || |,

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Q: Determine whether x'= (,, ) is an optimal solution to the following linear program: 31 maximise 9x1 ...

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Q: Find the radii of curvature and torsion at a point of the curve r? + y2 = a², x² – y? = az. %3D %3D

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Q: What is L s+2 (s – 3)* - 9 e cosh3t +e sinh 3t 3. A. 3r 8. e sin 3t 3. B. e cos 3t + 3/ 3r 2r C. e 2...

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Q: Which one of the following is the vector equation of a plane containing the points: (4, 0, 3). (1, -...

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Q: Determine the roots of the complex numbers discussed in class. 1. z3 = -2 2. z3 = -3

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Q: Use De Moivre’s Theorem to find the identity of the following:

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Q: Using MOSS, find the roots of x3-3x+1.

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.