Drawing a Ticket from a Bag P(x) 2 1 5 1 2 3 4 5 Number on Ticket Probability

Q: 6. Write the polar form of the vector 3+j4 A. 6< 53.1° C. 5 < 53.1° D. 8 < 53.1° B. 10 < 53.1°

A: Polar for of the complex number

Q: ル。 dz = 2. For z = -5x* - 6y and a Point P ER' we have dz 23 dy Determine the value of

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Q: 18.7. Let f(z) = (e + e-2)/2. Evaluate f(2) -dz, where y is any %3D simple closed curve enclosing 0.

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Q: tind the pen meter 4 4

A: As all the four circles have same radius which is 2so the given figure is a square whose perimeter i...

Q: Find the area of the finite part of the paraboloid y = x² + z? cut off by the plane y = 16. [Hint: P...

A: Surface area in xy-plane

Q: Find the set of all positive integers n with the property that the set  M={n,n+1,n+2,n+3,n+4,n+5} c...

A: A very good problem based on a nice application of quadratic residues

Q: Evaluate x2/3 from x0=1.2 and xn=2.4 of order 3 using Simpson's 3/8 R.

A: This is a problem of Numerical Analysis.

Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 6. For all positive re...

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Q: If lim am = 0, then the series ) an is convergent. n +00 n=1 O True O False

A: Solution

Q: Solve the system of equations. If there is no solution, indicate that using the checkbox. X1+ 2x2 – ...

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Q: 2. Let N = {A, | ne N}, where A, = {n,n+ 1, n +2, ...}. (a) Find UN and prove your conjecture. (b) F...

A: we have given Ω = An n∈N where An =n, n+1, n+2,...... we have to find (a) find ∪Ω and prove your con...

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 00 5+ 2"...

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Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 7. For any sets A, B, ...

A: Given that  for any sets A,B,D, if B⊆A then D-A⊆D-B We have to check that the above statement is tru...

Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 = 12 - 3x1 + X...

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Q: The sum of nine times a number and 2 more than the number is the same as the difference between - 10...

A: Suppose that the number is x,  Now sum of 9 times that number and 2 more that number = 9x+x+2 Again ...

Q: a) Find the divergence and the curl of the vector field F × G, where F(x,y, z) = 2x²yi – y³z²j – 2z²...

A: Introduction: The divergence and curl of a vector are two very important operations in vector calcul...

Q: Q9/ Find the centroid of the region enclosed by the cardioid r = 1 + cos 0.

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Q: Determine which of the following sets are linearly independent. V = -3 5 7 V and U U only V only Non...

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Q: UlessUF Wei observed that students have difficulty rememl in his lectures. He modelled the percentag...

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Q: Transform the given system into a single equation of second-order x = -8x1+ 5x2 x2 = -5x1 – 8x2. The...

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Q: 7. Check if the following graphs G and H are isomorphic.

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Q: Assume that x x(t) and y y(t). Let yx +1 and dx 2 when x 3 dt dy when x 3. dt Find

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Q: For what values of h are the given vectors linearly independent? -10 3 h Vectors are linearly depend...

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Q: *(;) - »() n Proposition 10. Let n and k be positive integers. Then k = n k k - 1 Special directions...

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Q: (t – 4)y' + In(t + 1)y = 5t, y(3) = - 2 Find the interval in which the solution of the initial value...

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Q: a of the following juncions. s- 1 (b))F(s)% = %3D 2s2 -8 s + 11

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Q: ot divisible by 4, then x--4x-3 is also not divisible by 4. m,n E Z, then m² – n² is even or m – n –...

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Q: Find an equation of the tangent plane to the surface z = -2z² – 2y?- lz 2y+ 3 at the point (5, 1, -5...

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Q: Fitting a Polynomial to a Sequence Use difference sequences and matrices to determine the polynomial...

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Q: Consider the following system of differential equations describing two populations: x' = 0.02x (1 - ...

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Q: For each of the following series, determine whether it is convergent or divergent. Justify your answ...

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Q: 1. Find the volume of the solid that lies within both the cylinder a2 + y? = 25 and the sphere x² + ...

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Q: Let A be the set of irrational numbers in [0, 1] and let B be the set of ratinal numbers in [0, 1]. ...

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Q: Find the general solution of the differential equation: y' + 2y = xy?. Use lower case c for the cons...

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Q: Proposition 9. Let n be a non-negative integer. Then 1+2+4+ 8+ ...+ 2" = 2"+1 – 1.

A: To prove the above statement we can use the method of induction. In which first we show that the bas...

Q: 6. In a plane, if X is the only point of line / that is on 00, then / is to 0.

A: We need to solve the question 6. Given an incomplete statement :                   In a plane , if X...

Q: 1. f(t) = 5(e^-4t)[cos(10t)] A. (5s – 20) / (s^2 - 8s + 116) B. (s - 4) / (s^2 - 8s + 116) C. 50 / (...

A: Laplace transferom of the function

Q: In a mechanical system, acceleration a, velocity v, and distance S, are related by the simultaneous ...

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Q: Q7

A: We use theorem of linearly independent and linearly dependent vectors.

Q: Give the Maclaurin series expansion of f(x) convergence. Approximate In(0.5) using the first 5 terms...

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Q: 2) dy : %D

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Q: Problem Solving 1. Given the complex numbers zı = 2 + j0.51, z2 = -0.4 – j0.8, and z3 = 3 + j3 find;...

A: As per guidelines only first question is solved.

Q: 6. f(t) = (7- e^(12 – 3t))u(t-4). Perform Laplace transform by integration only. A. [(21 + 6s) / (s^...

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Q: Q7/ Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integra...

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first quest...

Q: Proposition 8. Let m be any integer. If 5|(7m), then 5|m.

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Q: Find the Fourier transform of f(t) defined by: t < 0 t 20 f(t) = e-6t

A: We know that the Fourier transformation of a function fx is  fs=12π∫-∞∞eisxfxdx

Q: Q15. You are given the graphs shown below. x=f(1) y=g(1) Use them to sketch the parametric curve x= ...

A: The graph of the functions f(t) and g(t) is as shown below.

Q: Example 4: Sohue: (2+j3)2²+ 4z +4-j6=0

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Q: a) Use the bisector method to guarantee a solution for the equation 8x³ -16x = -7 in the interval [0...

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Q: Make a concretr example of secant method then show your solution with explanation.

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Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.