For example, ((cubic 1 2 3) 4) calculates 4) + 1 x 42 + 2 x 4 + 3, which is 91. Exercise 6 In file lab3.rkt, define a procedure named twice that takes a procedure of one argument and and returns a procedure that applies the original procedure twice. For example, if square is a procedure that squares its argument, then (twice square) returns a procedure that raises its argument to the power 4. If inc is a procedure that adds 1 to its argument, then (twice inc) returns a procedure that adds 2 to its argument Use a lambda expression to define the procedure returned by twice. Check your twice procedure using these tests: (define (square *) (* x x)) ((twice square) 5) 625 ; (5) (define (inc x) (+ * 1)) ((twice inc) 5) 7 ; (5 + 1) + 1 For example, ((cubic 1 2 3) 4) calculates 43 + 1 x 42 + 2 x 4 + 3, which is 91. Exercise 6 In file lab3.rkt, define a procedure named twice that takes a procedure of one argument and and returns a procedure that applies the original procedure twice. For example, if square is a procedure that squares its argument, then (twice square) returns a procedure that raises its argument to the power 4. If inc is a procedure that adds 1 to its argument, then (twice inc) returns a procedure that adds 2 to its argument. Use a lambda expression to define the procedure returned by twice. Check your twice procedure using these tests: (define (square *) (* x x)) ((twice square) 5) 625 ; (52) (define (inc *) (+ x 1)) ((twice inc) 5) 7 ; (5 + 1) + 1 For example, ((cubic 1 2 3) 4) calculates 4) + 1 x 42 + 2 x 4 + 3, which is 91. Exercise 6 In file lab3.rkt, define a procedure named twice that takes a procedure of one argument and and returns a procedure that applies the original procedure twice. For example, if square is a procedure that squares its argument, then (twice square) returns a procedure that raises its argument to the power 4. If inc is a procedure that adds 1 to its argument, then (twice inc) returns a procedure that adds 2 to its argument Use a lambda expression to define the procedure returned by twice. Check your twice procedure using these tests: (define (square *) (* x x)) ((twice square) 5) 625 ; (5) (define (inc x) (+ * 1)) ((twice inc) 5) 7 ; (5 + 1) + 1 For example, ((cubic 1 2 3) 4) calculates 43 + 1 x 42 + 2 x 4 + 3, which is 91. Exercise 6 In file lab3.rkt, define a procedure named twice that takes a procedure of one argument and and returns a procedure that applies the original procedure twice. For example, if square is a procedure that squares its argument, then (twice square) returns a procedure that raises its argument to the power 4. If inc is a procedure that adds 1 to its argument, then (twice inc) returns a procedure that adds 2 to its argument. Use a lambda expression to define the procedure returned by twice. Check your twice procedure using these tests: (define (square *) (* x x)) ((twice square) 5) 625 ; (52) (define (inc *) (+ x 1)) ((twice inc) 5) 7 ; (5 + 1) + 1
