Exercise A2
Java Fundamentals exercises
Wk2 – ExA2
- Write a program called AlgebraicExpression. This program is based on the expression y=ax3 + 7. Initialise x to 2 and a to 3. Using parentheses where needed ensure y evaluates to the following: 31 (the normal evaluation). Show also that by changing the position of the brackets a result of 108 and 66 can be achieved.
- Look up the Math.pow function and use it to evaluate the above expression.
Console OutputEvaluating "y = ax3 + 7" where x == 2 and a == 3
y = a * x * x * x + 7" sets y to : 31
y = a * x * x * (x + 7) sets y to : 108
y = (a * x) * x * (x + 7) sets y to : 108
y = (a * x) * x * x + 7 sets y to : 31
y = a * (x * x * x) + 7 sets y to : 31
y = a * x * (x * x + 7) sets y to : 66
y = a * x^3 + 7 (using Math.pow) sets y to : 31
Evaluating "y = ax3 + 7" where x == 2 and a == 3
y = a * x * x * x + 7" sets y to : 31
y = a * x * x * (x + 7) sets y to : 108
y = (a * x) * x * (x + 7) sets y to : 108
y = (a * x) * x * x + 7 sets y to : 31
y = a * (x * x * x) + 7 sets y to : 31
y = a * x * (x * x + 7) sets y to : 66
y = a * x^3 + 7 (using Math.pow) sets y to : 31