awnser 12.1, 12.2 (missing number in image), and 12.3 Q123 PointsPlease do one beta reduction on the following expressions using the "eager evaluation" (call-by-value) beta reduction method.Please do not do beta reductions until this is in beta normal form, (unless you think one reductionwill take it to beta normal form), do exactly one reduction.Q12.11 PointOne reduction using eager on: (Ax.xy) ((Ay.yz) a)((Ay.yz) a) y(Ax.xy) (az)azyThere is an infinite loopMultiple of the above are valid answersNone of the above are valid answersSave Answer One reduction using eager on: (Ax.xy) (Az.z)(Ax.xy) (Az.z)Az.zy(Az.z) yThere is an infinite loopMultiple of the above are valid answersNone of the above are valid answersSave AnswerQ12.31 PointOne reduction using eager on: (λx.a) ((Ày.yy) (Àz.zz))a(Ax.a) ((Az.zz) (Az.zz))(Ay.yy) (Az.zz)There is an infinite loopMultiple of the above are valid answersNone of the above are valid answers

Q12.1: Expression - (λx.xy)((λy.yz)a)To solve this:Evaluate the innermost application first:…

Answered: Q12 3 Points Please do one beta…

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter18: Stacks And Queues

Section: Chapter Questions

Problem 9SA

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(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.
Redo Programming Exercise 8 using dowhile loops.
What is the value of each of the following Boolean expressions? 54 3=3 2+45 6==7 2+4=6 3+4==4+3 1!=2 2!=2 5==72 3+9=0
(Conversion) a. Write a C++ program to convert meters to feet. The program should request the starting meter value, the number of conversions to be made, and the increment between metric values. The display should have appropriate headings and list the meters and the corresponding feet value. If the number of iterations is greater than 10, have your program substitute a default increment of 10. Use the relationship that 1 meter = 3.281 feet. b. Run the program written in Exercise 6a on a computer. Verify that your program begins at the correct starting meter value and contains the exact number of conversions specified in your input data. c. Modify the program written in Exercise 6a to request the starting meter value, the ending meter value, and the increment. Instead of the condition checking for a fixed count, the condition checks for the ending meter value. If the number of iterations is greater than 20, have your program substitute a default increment of (ending value - starting value) / 19.
(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft
(Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is A=s(sa)(sb)(sc) where s=(a+b+c)2 Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of sand[s(sa)(sb)(sc)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A=1. The value of A should be returned by the function.
(Statics) An annulus is a cylindrical rod with a hollow center, as shown in Figure 6.7. Its second moment of inertia is given by this formula: I4(r24r14) I is the second moment of inertia (m4). r2 is the outer radius (m). r1 is the inner radius (m). a. Using this formula, write a function called annulusMoment ( ) that accepts two double-precision numbers as parameters (one for the outer radius and one for the inner radius), calculates the corresponding second moment of inertia, and displays the result. b. Include the function written in Exercise 5a in a working program. Make sure your function is called from main(). Test the function by passing various data to it.

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