Say whether the following statements are true or false a. 3n²+ 2n is 0 (n²) b. n² is 0 (nlogn) c. logn² is 0 (logn) is 0 (logn²) d. logn e. nn is Ω2Μ
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- For each of the following statements indicate whether it is true or false and correct the false statements: f. (3/2)n vn + 5n² +log2n= 2 (n²vn) g. 2n3 + 5n2 + log2n = 2 (n²) h. 4nlogan +10n² +3 =0 (n logn) %3DTranslate the statement into equation: When three is multiplied by one less than a number x, the result is 10 less than 5 times the number x.Given four positive integers a, b, c, and d, compute the sum of those among them that are odd. Because you have not yet learned how to make decisions, use the fact that for a positive integer n, the expression n % 2 is either 0 or 1. (not allowed to use an if statement or conditonal)
- Q3: Apply De Morgana's theorems to the expression ? A + BC + D (E + F)For each of the following statements indicate whether it is true or false and correct the false statements: v. 3n + 100 =0 (1) w. 2n + 100 n² + n100 = = O(n101)Given four positive integers a, b, c, and d, compute the sum of those among them that are odd. Because you have not yet learned how to make decisions, use the fact that for a positive integer n, the expression n % 2 is either 0 or 1. (not allowed to use an if statement)
- Let H be "The weather is hot" and D be " The weather is dry ", then the statement "it is false that, the weather is not hot or dry " can be written in logical notation as Select one: -(-H) v D -(Hv -D) -(-H v D) -(H v D)You can answer E, F, and G onlyDetermine the value of each of the following expressions. (For decimal numbers, round your answer to two decimal places.) (1) abs(-18) fabs(20.5) fabs(-87.2) pow(4, 2.0) pow(8.4, 3.5) sqrt(7.84) sqrt (196.0) sqrt (38.44)* pow(2.4, 2) / fabs(-3.2) floor(27.37) ceil(19.2) floor(12.45) + ceil(6.7) floor (-8.9) + ceil (3.45) floor(9.6) / ceil(3.7) pow(-4.0, 6.0) pow(10, -2.0) pow(9.2, 1.0 / 2)
- Question 6 Select an equivalent statement for each statement below. :-3x p(x) A 3x p(x) :-x p(x) B. By p(y) : 3x p(x) c. Vx p(x) D. Vy q(y) (x)b xA +2. What is the truth value of each of the following statements? 8 is even and 6 is odd If 8 is odd and 6 is even, then 8 < 6.If P(x,y) means "x and y are real numbers such that x = y2 " which of the following best characterizes the statements: A) for all y there exists an x such that P(x,y) B) for all x there exists a y such that P(x,y) O Only A is true O Only B is true O Both A and B are true O Both A and B are false