Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 30.1, Problem 1E
Program Plan Intro

To multiply the polynomials A(x)=7x3x2+x and B(x)=8x36x+3 using equations (30.1) and (30.2)

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Two points on line 1 are given as (x1, y1) and (x2,y2) and on line 2 as (x3, y3) and (x4, y4), as shown in Figure 3.8a and b.The intersecting point of the two lines can be found by solving the following linearequations:(y1 - y2)x - (x1 - x2)y = (y1 - y2)x1 - (x1 - x2)y1(y3 - y4)x - (x3 - x4)y = (y3 - y4)x3 - (x3 - x4)y3This linear equation can be solved using Cramer’s rule . If the equation has no solutions, the two lines are parallel (see Figure). Write a program that prompts the user to enter four points and displays the intersectingpoint. Here are sample runs:
Using Matlab, code the following:The paper cup has Radius R2 = l.5(R1), height (h), volume V = 716 cm3 ,and surface area (S). The height, volume, and surface area of the cup are given by: V =πh(R1^2+R2^2+R1R2)/3 S = π R1^2+ π (R1+R2)√(R2 − R1)^2 + h^2 Determine R1, R2, and S of the paper cups with heights h = 8, 10, 12, 14, and 16 cm. • Method 1: Simulate Equations without using a for loop. • Method 2: Simulate Equations using a for loop. Display results to the screen tabulated Hint: You may need to transpose the vectors before printing to the screen.
Simplify the following Boolean expressions, using four-variable K-maps: x′z+w′xy′+w(x′y+xy′)
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