# State all simplification rules for cond, and, or 2 Why and,...

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Chapter 15 / Exercise 10
Multivariable Calculus
Larson
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CS 135 — Problem Set 2 Winter 2017 [Theory] 1. State all simplification rules for cond, and, or. 2. Why (and), (or) rules are necessary? 3. What is dynamic and static typing? What are pros and cons of each? 4. What is data definition? What is structure definition? 5. What functions are created after structure definition? [Practice] For stepping questions, you may assume that code has been processed in Racket. 1. Produce a step-by-step evaluation of the following program. (make-posn (+ 2 3) (or false false)) 2. Produce a step-by-step evaluation of the following program. (define a 5) (* (/ (- 100 (quotient 30 11) ) 49) (+ a a)) 3. Produce a step-by-step evaluation of the following program. (define x (/ 10 2)) (define y (* x 2)) (define (f x)(sqrt (+ (sqr x) (sqr y)))) (f (+ x y)) 4. Produce a step-by-step evaluation of the following program. (define m (/ 10 2)) (define k (* m 2)) (define (f m k)(and true (cond [(or (positive? m) k) true] [(or (negative? m) k) false]))) (f 0 (and (= m 5) ( > k 11)))
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Chapter 15 / Exercise 10
Multivariable Calculus
Larson
Expert Verified