Laboratory 1 
Basics of Mathematica
Name:

Exercises

Exercise 1 (KenKen). Using parentheses and the five arithmetic operations (+,-,*,/,^), produce the given answers from the given numbers. For example, the answer 0.0005 can be obtained from the numbers 1, 1 and 2000 as 1./1/2000. (Note the decimal point after the first 1: without it the result would be (1/2000).)

(a) Use 10 and 3 to get 1000.

(b) Use 2, 5 and 3 to get 1000.

(c) Use 5, 1 and 3 to get (4/3).

(d) Use 5, 1 and 3 to get (5/3).

(e) Use 5, 1 and 3 to get 2.

(f) Use 5, 1 and 3 to get -2.5.

(g) Use 5, 1 and 3 to get 2.5. 

Exercise 2. Compute the following. Give approximate values to 10 decimal places when appropriate.
(a) 51!

(b) 27! / 25!

(c) (Subscript[log, 10])235

(d) ln 71

(e) (Subscript[log, 2])1024

(f) sin (π/10)

(g) (sin^(-1))0.25

(h) (Sqrt[7])

Exercise 3. 
(a) Plot the graph of the polynomial(x^2)+3in the interval[-2, 2].

(b) Define g(t)=tan (t/2) and graph it in the interval [-3, 3].

(c) Defineh(x) = sin((x^2)) and graph it in the interval [-2,3].