For this series, find
(a) the common ratio,
(b) the first term,
(c) the sum to infinity,
(d) the smallest value of n for which the sum of the first n terms of the series exceeds 1000.
6 (a)(b) Geometric Series
3sin(x + 45°) = 2
(b) Find, for 0 ≤ x 2π, all the solutions of
2sin2x + 2 = 7cosx
giving your answers in radians.
You must show clearly how you obtained your answers.
The volume of the cuboid is 81 cubic centimetres.
(a) Show that the total length, L cm, of the twelve edges of the cuboid is given by
L = 12x + 162/x2
(b) Use calculus to find the minimum value of L.
(c) Justify, by further differentiation, that the value of L that you have found is a minimum.C2 Mathematics Edexcel June 2011 Question 9
The straight line with equation y = x + 4 cuts the curve with equation y = −x2 + 2x - 24 at the points A and B, as shown in Figure 3.
(a) Use algebra to find the coordinates of the points A and B.
The finite region R is bounded by the straight line and the curve and is shown shaded in Figure 3.
(b) Use calculus to find the exact area of R.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.