A-Level MathematicsYear 2019Q5
page 06 MARKS 5. For and , find (a) (b) . 6. A spherical balloon of radius r cm, r > 0, deflates at a constant rate of 60 cm3 s−1. Calculate the rate of change of the radius with respect to time when r = 3. The volume of a sphere is given by . 7. (a) Find an expression for ( ) 1 6 13 n r r = + ∑ in terms of n. (b) Hence, or otherwise, find ( ) 20 1 6 13 r p r = + + ∑ . 8. Find the particular solution of the differential equation given that y = 0 and , when x = 0. 2 2 3 1 2 5
Paper Source:NAH_Mathematics_QP_2019.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)