D Question 3 ncements us ales es ple dent Course aluations wickly Attendance ssignments Quizzes What is the number of strongly connected components of the following digraphs? 7 2 Zub e C 5 pts
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- me smng memod iupper() alters a smg in place by changang the memod is Elmoua all oř ;is Wters to ppercase ercase. When omplurd the smner has been changtd Twe or FaldeA geometric sequence is a sequence of numbers where each term after the first isfound by multiplying the previous one by a fixed, non -zero number calledthe common ratio. For example, the sequences2, 6, 18, ....3,15,75, ….are a geometric sequences with common ratios 3 and 5 respectively. A geometricsequence is generally characterized by three numbers, the first term ‘a’, thecommon ratio ‘r’ and the number of terms ‘n’. A geometric series is the sum ofnumbers in a geometric sequence. 2+6+18 and 3+15+75 are examples of geometricseries with three terms each.The nth term of a geometric series with initial value ‘a’ and common ratio ‘r’ isgiven by: ?? = ???-1. While the sum of a geometric series is given by:?(1 - ??)1 - ?Create a class GeometricSeries to model a Geometric series. Using friend function,overload the ‘~’ operator to find the nth term of the series. Likewise, overload the‘!’ operator (using a friend function) to find the sum of a Geometric series.Provide a function display() in…paint using va8iable vaxiable but 5. number while 1. from I to and A&sume Hbat is thitialized. patt 20 counler Hhe declored only Calculatimder 1(alue o New Dine Dine.use The print • lahen प्रशदिगाय Hhis गजत is chexacles oHied wise choracdos. tab.
- 2. Telephone-Number Word Generator (50) o Standard telephone keypads contain the digits 0-9. The numbers 2-9 each have three letters associated with them, as is indicated by the following table: Digit Letter Digit Letter 2 A B C 6. M N O DE F 7 PR S 4 GH I 8 TU V 5 J KL 9. W X Y o Many people find it difficult to memorize phone numbers, so they use the correspondence between digits and letters to develop seven-letter words that correspond to their phone numbers. o For example, a person whose telephone number is 686-2377 might use the correspondence indicated in the above table to develop the seven-letter word "NUMBERS." Businesses frequently attempt to get telephone numbers that are easy for their clients to remember. If a business can advertise a simple word for its customers to dial, then, no doubt, the business will receive a few more calls. Each seven-letter word corresponds to exactly one seven-digit telephone number. The restaurant wishing to increase its take-home business could…A tile of a monkey puzzle has four monkey halves that can be labelled as north(N), east (E), south (S), and west (W) half. In addition to the shape of the borderrectangle, these halves determine which edges can be placed next one other. There isalso another way to define how the tiles can be placed: Each tile corner (i.e. compassdirections NE, SE, SW, and NW) has a monkey quarter. If we abstract this quarter, forexample, with a letter, only the tiles with the same letter in their touching corners canbe adjacent. illustrates one valid solution for this quarter monkey puzzle.Are the two monkey puzzle representations equivalent in the sense that if we have apile of ‘half monkey’ tiles H, it is possible to define a pile of ‘quarter monkey’ tilesQ that gives exactly the same set of solutions for the puzzle (and vice versa)?F Run a program that tests De Moivre's formula on page 325 by comparing the values obtained from it with those obtained from the recursive definition of the Fibonacci numbers.
- 5. Lemniscate or figure 8 You should have learned lemniscate or the famous figure 8 in high school as well. The following is a snip from Wikipedia. Lemniscate of Bernoulli From Wikipedia, the free encyclopedia In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F1 and F2, known as foci, at distance 2c from each other as the locus of points P so that PF₁·PF₂ = c². The curve has a shape similar to the numeral 8 and to the ∞ symbol. Its name is F2 P A lemniscate of Bernoulli and its two foci F₁ and F2 Figure 8. Write a computer program (with graphics and GUI parts) that draws the figure 8. Show your analysis if applicable (which means any equation?). 9If n is an integer, what are the common divisors of n and 1? What are thecommon divisors of n and 0?The Problem A Zeckendorf number is defined for all positive integers as the number of Fibonacci numbers which must be added to equal a given number k. So, the positive integer 28 is the sum of three Fibonacci numbers (21, 5, and 2), so the Zeckendorf number for k = 28 is three. Wikipedia is a satisfactory reference for our purposes for more details of the Zeckendorf and Fibonacci numbers. In both cases, you do not need to read the entire Wikipedia entry. Your assignment is to write two ARM assembly language functions which calculate Zeckendorf and Fibonacci numbers. Zeck function The first function, which should be named zeck, receives an integer parameter in register zero. This will be the variable k we discussed above. Your code should return the Zeckendorf number for k in register zero when complete. If the parameter k is zero, return zero. If the parameter k is negative, return minus 1. If the parameter k is too large to calculate, return minus 1. Fib function The other function,…
- f the domain consists of all integer numbers, then the truth value of ∃x(x2 = -1) is:Upsampling an Image using Interpolation TechniquesThere are a number of techniques that can be used to upsample an image.In this assignment, you are expected to implement Interpolation methods (such as Lagrangian Interpolation, Divided Difference, etc.) for three different images and compare the results. Example Code Python: orgImage = cv2.imread("dene.png")w, h, d = orgImage.shapexResized = int(w * scale);yResized = int(h * scale);....cv2.imwrite("resizedImage.png", resizedImage) Example Code Matlab:I = imread('pen.png');figure;imshow(I); [w, h, d ]= size(I)R = I(:,:,1);G = I(:,:,2);B = I(:,:,3); %for cubic spline write findcoefficients method[ax,bx,cx,dx ] = findCoefficients(R);[ay,by,cy,dy ] = findCoefficients(G);[az,bz,cz,dz ] = findCoefficients(B); ....R_new = ax(i)*i_d.^3 + bx(i)*i_d.^2 + cx(i)*i_d + dx(i);G_new = ay(i)*i_d.^3 + by(i)*i_d.^2 + cy(i)*i_d + dy(i);B_new = az(i)*i_d.^3 + bz(i)*i_d.^2 + cz(i)*i_d + dz(i);I am what you call a perfectionist. I always strive for perfection, and I appreciate everyone and everything that is perfect. That is why I have recently acquired an appreciation for perfect numbers! I absolutely need to know which numbers from 1 to 1000 are considered perfect. From what I recall, a perfect number is a positive integer that is equal to the sum of all its divisors other than itself. Example: 6 is a perfect number because the divisors of 6 other than itself are 1, 2, and 3, and 1 + 2 + 3 = 6. c++ code