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b. System.out.println(Math.rint(-5.5));
Ans. -6.0
c. System.out.println(Math.rint(5.5));
Ans. 6.0
d. System.out.println(Math.rint(-2.8));
Ans. -3.0
4. Write the output:
a. System.out.println(Math.cbrt(15625));
Ans. 25.0
b. System.out.println(Math.sqrt(81));
Ans. 9.0
5. Write the final value that is stored in c and d:
double a= -10.2, b=-44.1,c,d;
c= Math.abs(Math.floor(a));
d=Math.ceil(Math.abs(b));
Ans. c = 11.0
d = 45.0
6. Convert the mathematical expression to Java expression.
2
a. a + c 2
Ans. Math.sqrt(Math.pow(a,2) + Math.pow(c,2))
1 n
b. a
Ans. Math.pow(a,1/n)
2
−+ b −4 ac
b
c. x = a 2
Ans. x = (-b + Math.sqrt(Math.pow(b,2) – (4 * a *c)))/(2*a)
d. sin a cos b + cos a sin b where a and b are in radian
Ans. Math.sin(a)*Math.cos(b) + Math.cos(a)*Math.sin(b)
7. Write down Java expression for:
2
a. T = √(A + B + C ).
2
2
Ans. T = Math.sqrt(Math.pow(A,2) + Math.pow(B,2) + Math.pow(C,2));
2
b. √(2as + u ).
Ans. Math.sqrt(2 * a * s + Math.pow(u,2))
8. What will the following function return when executed?
(i) Math.max(-17, -19);
(ii) Math.ceil(7.8);
Ans. i) -17 ii) 8.0
9. What are the final values stored in variables x and y below?
double a = -6.35;
double b = 14.74;
double x = Math.abs(a);
double y = Math.rint(b);
Ans. x = 6.35
y = 15.0
Mathematical Library Methods 153

