Answer to Question #300375 in Abstract Algebra for dylan

Question

1. In the following, estimate the area under the curve using the trapezium rule with 5 ordinates.

a. [2]  y = x² between x = 0 and 4                                       b. [2]  y = 1/x² between x = 1 and 3

c. [2]  Discuss the accuracy of your estimates and how these compare to two other methods.

2a. [3]    ,         make R₁ the subject.

b. [3]  , make m the subject.

3. [6]  Plot tan(θ) against θ between angles of –π and +π. Explain in detail why there are some points that you cannot evaluate using your calculator.