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(a) A curve whose equation is in the form y = mx³ - nx where m and n are constants passes through the point (1,...

(a) A curve whose equation is in the form y = mx³ - nx where m and n are constants passes through the point (1, 2). Its gradient at the given point is 10. Find the values of m and n.

(b) Use the trapezium rule to find the area bounded by the curve y = x² + 4, the x-axis and the lines
x = 0 and x = 4. Use five ordinates.

(c) Calculate the exact area bounded by the curve, y = x² + 4, the x-axis and the lines x = 0 and x = 4. Hence find the percentage error in (b) above.

Answers

Wilfykil answered the question on August 19, 2019 at 09:13

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