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Express the following expression in 2. Prove that fand g are equivalent using both the graphical...
Prove that f and g are equivalent using both the graphical and algebraic approach. If they are not, provide a counter-example that shows how they are not equivalent. https://i.gyazo.com/df6c283c040522b4baab4e52d0b91104.png
3) Determine the values below using the graphs of fand g shown. If a value is not defined, state "not defined." Assume the ends of fand g continue the shape you see beyond the graph. Ax) c) 2-5(g(0)-3) (Read carefully.) d) 9(3) a e) g-2) 6-2 9) R-3)+9(5) h) For what values of x does g(x)-2? i) For what values of x is fdecreasing? D For what values of x is g increasing? k) Give three values that g(x) can...
2) [3 marks] Using logical equivalent properties discussed in class, prove: 3) [2 marks] Use a truth table to verify the associative law: (p v q) vrp (qr) 4) [2 marks] Use De Morgan's laws to find the negation of each of the following statements. a) Kwame will take a job in industry or go to graduate school. b) Yoshiko knows Java and calculus c) James is young and strong. d) Rita will move to Oregon or Washington. 5) [2]...
1. If fand g are both even functions, is the product fg even? If f and g both odd functions, is fg odd? What if f is even and g is odd? Justify your answers. (10 points) Find the domain g(x) =-. (10 points) 2. of the composited function fog, where f(x)=x+ and x +1 x+2 3. Let ifx <1 g(x) = x-3 ifx >2 Evaluate each of the following, if it exists. (10 points) lim g(x) lim gx)(i) lim...
12. Use the following SDT to convert an infix expression (9*3+2) to it post-fix equivalent. Semantic rules Production (print(")) ) (priot ()) () (print (num.lval)) E E+T T TP- [5 marks F num 13. Briefly explain the relevance of DAG and TAC at the Intermediate code generation phase. Give an example of DAG(Directed Acyclic Graph) with its equivalent TAC(Three-Address Code). [6 marks 14. Parser table is very important in predictive parsing; construct a parser table for the following CFG: S...
For the following distribution, what is the probability, P(X > 6)? Express the answer as a decimal number (for example, 0.5, not 1/2 or 50%). x 3 4 5 6 7 8 P(X = x) 0.15 0.20 0.20 0.25 0.10 0.10
9. Prove that the following kogical expressions aro logically equivalent by applying the law of logic 10. Give a logical expression with variables p, q, and r that's true only if p and q are false and r is true. 11. Predicates P and Q are defined below. The domain of discourse is the set of all positive integers. P(x): x is prime Qlx): x is a perfect square Are the following logical expressions propositions? If the answer is yes,...
Describe the data with the tools of descriptive statistics, using both numerical as well as graphical methods. In addition to reporting and commenting on the values central tendency and diagrams, please also justify the choice of method (e.g. why a particular kind of measure of central tendency was selected and the chosen graphic is appropriate to use in this context). Shift Stress 1 2 1 5 1 7 1 8 1 5 1 4 1 3 1 6 1 5...
Given R express the limit as n + as a definite integral, that n 3 [:(+9)-3(2+91 5° flade. is provide a, b and f(x) in the expression = b f(x) = Preview
Question 2 (d) Write equivalent code to the one shown below by replacing the while loop with a for loop while x <= 15 x=x+1; end [4 marks] (e) Write the small program from the previous question using a single line of code with vector operations. [2 marks] (f) Write a MATLAB script that uses a loop to print the contents of two vectors interleaved in to one vector. Assume both vectors are the same length. For example, if A...