Looking ahead:
- a. Multiply the numerator and denominator of sec x by sec x + tan x; then use a change of variables to show that
- b. Use a change of variables to show that
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Chapter 5 Solutions
CODE/CALC ET 3-HOLE
- The recurrence relation is given as: an = 4an-1 - 4an-2 The initial conditions are given as: ao =1, a1 =4 and az = 12, . Use a calculator and calculate ag Seç. When you solve the general equation, the constants alpha 1 and alpha 2 are respectively calculated as: Seç. When you solve the characteristic equation, the root/roots of the characteristic equation can be found as: Seç.arrow_forwardRepresent the GCDs calculated in Problem 2 as a linear combination of the original numbers. (i.e., GCD (a, b) = s*a + t* b, where s and t could be found using Bezout’s Theorem).arrow_forwardSimplify the following Boolean functions, using four-variable Kmaps: F (A, B, C, D)=Σ(0, 2, 4, 5, 6, 7, 8, 10, 13, 15)arrow_forward
- Exercise 2: Find the Taylor series for the following functions Sin x Cos x Tan x 3 e-x please make sure you solve it in matlab and screen shot the codearrow_forwardProve the following: If a|b and a|c, then a|(b +c) and a|(b −c).arrow_forwardSimplify the following Boolean functions using three variable map: e. F(xy.z) E (0,1,2,4,5,6) f. F(x.y.z)%-E (0,1,2,3,6,7)arrow_forward
- Use the following K-Map to create an equation ~y~z ~yz yz y~z ~w~x 1 1 ~wx 1 1 1 Wx 1 1 w~x 1 1 1arrow_forwardSimplify the following Boolean functions, using three-variable Kmaps: F(x, y, z)=Σ(0, 1, 5, 7)arrow_forward12 Example 2: find y for the following values of x= 5,3,7 and d=4,7,12 y = x² + + 5xd sin(5d) Sol1:arrow_forward
- Let’s say your ULAB student ID is 182014015. If the digits in the student ID are considered as minterm numbers, then a function F can be expressed using minterm, F = ∑(0, 1, 2, 4,5,8). Identify the digits in your student ID and express the function using minterm numbers. a) Simplify the function and express into Sum-of-Product (SoP) form considering F and don’t-care condition d: F = ∑(?????? ?? ???? ??????? ??) d = ∑(11, 14, 15) b) Draw the circuit for the simplified function.arrow_forwardQ2: Find the derivative of: (1) y = sin(x* + V5) (2) y = 3x -5x +10 1+ sin x - sin x (3) y= tan %3Darrow_forwardusing ( Past Simple , Past Continuous , or Past Perfect) Scott Fitzgerald was born in 1896 in St Paul, Minnesota, and he lived in Paris in the 1920s. By the time Fitzgerald (1) (move) to Paris, he (2) (be) both a student at Princeton University and a member of the US Army. It was while he (3) (train) with the army that he (4) (meet) and married Zelda Sayer. During the 1920s, the Fitzgeralds' home (5) (become) the centre for a lively group of writers and artists in Paris and the couple (6) (spend) a lot of money on parties and entertaining.arrow_forward
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
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