Question Solved2 Answers A quantity Q increases at a rate proportional to its current size. If the initial population is given by Q0, then the expression for the time it takes for the population reach three times (treble) its initial size is Ln3/Q0.

helpp 55 A 29 43 33 45 C 34 E Find the total weights using greedy algorithm. 4 27 21 50 B 26 75 D

Exercise 8 (Multiple Choice). Let X be inductively defined as the smallest set of finite number lists (taken from N∗) satisfying the following closure properties: Given any natural number n from N, the set X contains the one-element list [n]. Given any list [x1,x2,x3,...,xn] already in X, the set X also contains the list [x1,x2,x3,...,xn,y] where the additional element y is the product x1 × x2 × x3 × ··· × xn. Which of the following lists is NOT in X? [1,1,1,1,1] [2,4,16,256] (c) [3,3,9,81] (d) [4,4,16,256] Exercise 9 (Multiple Choice). Consider the grammar G (note that ϵ stands for the empty string): ::= aS | T ::= bT | U ::= cU | ϵ Which of the following strings is generated by the grammar G? aba bab (c) ca (d) ccc Which of the following is a derivation of bbc in the grammar G? S → T → U → bU → bbU → bbU → bbc S → bT → bbT → bbU → bbcU → bbc S → T → bT → bbT → bbU → bbcU → bbc S → T → bT → bTbT → bbT → bbU → bbcU → bbc Exercise 10 (Multiple Choice). Which of the following grammars describes the same language as 0m1n where m ≤ n? S ::= 0S1 | ϵ S ::= 0S1 | S1 | ϵ S ::= 0S1 | 0S | ϵ S ::= SS | 0 | 1 | ϵ Exercise 11. Consider the following grammar for abstract syntax of arithmetic expressions: E ::= E+E | E−E | E×E | E/E | 1 | 2 | 3 | 4 with the usual associativity and precedence for the arithmetic operators (all operators are left-associative, × and / have a higher precedence than + and −). (1) Draw an abstract syntax tree for each of the following strings: 1 − 2 + 3 1 × 2 + 3 1 × 2 − 3/4 (2) (Multiple Choice & Short Answer) Which of the following pairs of strings with different parentheses represent the same abstract syntax tree according to the above precedence and associativity? Draw that abstract syntax tree. 2 × 4 − 3 versus 2 × (4 − 3) 1 + 2 + 3 + 4 versus 1 + (2 + (3 + 4)) 2 + 3 × 4/2 versus 2 + ((3 × 4)/2)

In cantrast to aptitude tests, which are predictive measures of what one can accomplish with training, achievemeat tests tell what an indlviduar ean do at the time of the test. Mathematics achifivement test scores for 900 students were found to have a mean and a variance equal to 540 and 3600 , respectively. If the distribution of test scores was In cantrast to aptitude tests, which are predictive measures of what one can accomplish with training, achievemeat tests tell what an indlviduar ean do at the time of the test. Mathematics achifivement test scores for 900 students were found to have a mean and a variance equal to 540 and 3600 , respectively. If the distribution of test scores was fioundshaped. ancroximately how many of the scores would fall inte the interval 400 ta 600 ? (Rleind your ansmer to the nearest whale number.) scores Aporoxiately hour many scores wauld be expected to fall into the interval 420 to 6607 (Round your anwer to the nearest whole number.). scores

Identify whether demand or supply is increasing or decreasing for the relevant product In each case, identify the demand or supply factor causing the change from the lists below. In which direction does the demand or supply curve shift? Demand Factors number of buyers income price of another product consumer preferences consumer expectations Supply Factors number of producers resource price state of technology change in nature price of related product producer expectations a. A widespread expectation by consumers of lower future incomes affects current sales of flat-screen TVs. In the market for flat-screen TVs there is a(n) (Click to select) in (Click to select) The factor that causes this change is: (Click to select) The (Click to select) curve shifts to the (Click to select) b. An increase in the price of pesticides affects the market for rice. In the market for rice there is a(n) (Click to select) in (Click to select) v The (Click to select) curve shifts to the (Click to select) The factor that causes this change is: (Click to select) CA drop in the number of salmon farms influences the market for salmon.

An incompressible (p = constant) liquid flows steadily through a conduit of circular cross-section and increasing diameter. At location 1, the diameter is 2.5 cm and the velocity is 2 m-s-l; at location 2, the diameter is 5 cm. (a) What is the velocity at location 2? (b) What is the kinetic-energy change (J-kg-l) of the fluid between locations 1 and 2?

2.38 The second derivative yin of a sequence x[n] at time instant n is usually approximated by y[1] = x[n+ 1] - 2x[n]+x[n – 1]. If y[n) and x[n] denote the output and input of a discrete-time system, is the system linear? Is it time-invariant? Is it causal?