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Answered by Ertug A. • Maths tutor

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How do I differentiate something of the form a^x?

p(x)=2x^3 + 7x^2 + 2x - 3. (a) Use the factor theorem to prove that x + 3 is a factor of p(x). (b) Simplify the expression (2x^3 + 7x^2 + 2x - 3)/(4x^2-1), x!= +- 0.5

Solve the differential equation : dy/dx - x^3 -5x = 0

Ball P is shot at 18m/s horizontally from the top of a 32m mast. Ball Q is shot at 30m/s at an angle 'a' to the horizontal from the bottom of the mast. They collide mid-air. Prove that cos'a' = 3/5

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