2. Given the following function A(a, b), what does A(8, 3) return? 1 function A(a, b) 2 if b = 0 3 return 1 4 else return A(a, b - 1) x a end if 7 end function
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- Let A = {1, 2,3} and B = {a, b, c, d} What is the function from a to b?f:AB. A = {0, 1, 2}, B F(0) = 1, f(1) = 2, f(2) = 2 1. Is f, as described above, a function? If it is not a function, explain why. 2.If f is a function.Answer the following: a.lsfinjective? If it is not injective, explain why. {0, 1, 2} %3D b.lsf surjective? If it is not surjective, explain why. c.lsf bijective? If it is not bijective, explain why. d.Does f have an inverse? If f has an inverse, what is the domain and codomain of f? Use the name of the sets. Iff does not have an inverse, explain why. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt x? X, Te Ix 田田田网 ABC - へ Ť {;} O WORDS POWERED BY !!! 田Write the function that takes three dimensions of a brick: height(a), width(b) and depth(c) and returns true if this brick can fit into a hole with the width (w) and height(h). Examples doesBrickFit(1, 1, 1, 1, 1) → true doesBrickFit(1, 2, 1, 1, 1) → true doesBrickFit(1, 2, 2, 1, 1) false Notes • You can turn the brick with any side towards the hole. • We assume that the brick fits if its sizes equal the ones of the hole (i.e. brick size should be less than or equal to the size of the hole, not strictly less). • You can't put a brick in at a non-orthogonal angle.
- Given the code: void e(int x, int y) { if(y<2) { cout << x << " "; return; } cout << x << " "; e(x+1, y-1); } 1. Trace the function when x and y are 4.Write a function numRolls that simulates the following dice game: a player repeatedly rolls a pair ofdice until the second time that doubles is rolled. The function then returns the total number of rollsmade. For example, suppose the player rolls the following pairs: (3,2), (3,3), (1,5), (5,5). The game thenstops because the player has rolled doubles twice, (3,3) and (5,5). The function returns 4, the totalnumber of rolls made: Use pythonWhat does this function do? def f2(s): i=len(s)-1 while(i>=0): print(s[i),end=") i=i-1 A) It prints the reverse of its parameters B) It counts the number of 'a' characters in its parameter s It counts the number of 's' characters in its parameter s It prints its parameter s Question 6 What's wrong with this code? i=10 while(i>100): print('Ali') i=i+1 It produces nothing
- [Unbalanced Rod] Given a set of n weights {w₁,..., wn} and a rod of length n - 1 inches, we can attach the weights to the rod at hooks placed at one inch distances apart as shown in the figure below. -1". /10 2 3 12 2 4 We can attach a weight to any hook but no two weights can be attached to the same hook and we have to attach all the weights. For any given assignment of weights to hooks, we can compute the location of the center of mass of the rod and the weights according to the following equation (neglecting the weights of the rod and the hooks). where 0 ≤ Pi≤n-1 is the position of weight along the rod. For example, in the figure shown above, the center of mass is computed as C= C = i Wi Pi Σi Wi 10 0+2 1+3·2+4·3+12.4 +2.5 10+2+3+4+12+2 78 33 The problem is to find an assignment of weights to hooks that makes the center of mass as far as possible to the left, i.e., minimize the value of c. Answer the following questions. 1. Describe a greedy algorithm that finds the assignments that…Pb#1: For several values of x, confirm that eix = cos x + i sin x Pb#2: An object thrown vertically with a speed vo reaches a height h at time t, where h= vo*t - gt2 Write and test a function that computes the time t required to reach a specified height h, for a given value of vo. The function's inputs should be h, vo, and g. Test your function for the case where h=100 m, vo=50 m/s. and g=9.81 m/s2. Interpret both answers. (MATLAB)Write a function that accept limit as parameter and returns the sum of multiples of 3 or 5 between 0 to limit (parameter). For example, if limit is 20, it should return the sum of 0,3, 5, 6, 9, 10, 12, 15, 18, 20.
- Going missing Some calculations involving blank values may give different results to what you might expect. For example, when you pass a blank value into the AND() function, it is treated as TRUE. This is often unhelpful. To make blanks behave in a sensible way in calculations, you must first convert them to be "not available" using NA(). This function takes no inputs, and returns a missing value. To convert a blank value to a missing value, use this pattern. =IF(ISBLANK(cell), NA(), cell) Instruction In column H, use AND() to find women who have kids and get benefits. In column I, convert the blanks in column G to missing values. In column J, again find women who have kids and get benefits, this time using column I rather than G. please show the formula used to "has kids and gets benefits" , "gets benefits with missing values", has kids and gets benefits". Thank you Is non-white Has over 12 years of school? Is married? Has kids? Has young kids? Is head of household? Gets…Write a function that solve the problem and display the answer. You can test your function with the test cases - Q1. Write sq(x) The function sq{x) should accept a numeric argument named x. Then, sq should return the suqare of its argument. For example: In [1]: sq(2) out (1]: 4 In [2): sg(5) Out[2]: 25A positive integer’s proper divisor satisfies 3 conditions: 1.divides the positive integer with remainder zero 2 is less than the positive integer 3. is a positive integer .A positive integer is a serene number if and only if the sum of the number’s proper divisors equals the number. Write and test a function that returns true if its parameter is a serene number and false if its parameter is not. 6 is a serene number because 1 + 2 + 3 = 6. 28 is a serene number because 1 + 2 + 4 + 7 + 14 = 28 There are many more serene numbers.