A is a function of P . It is known that A is the sum of two parts, one part varies as P and the other part varies as the square of P . When P = 24 , A = 36 and when P = 18 , A = 9. Express A in terms of P .
Let A = aP + bP2 , where a and b are constants.
Sub. P = 24 , A = 36 ,
24a + 576b = 36
2a + 48b = 3 ………… (1)
Sub. P = 18 , A = 9 ,
18a + 324b = 9
2a + 36b = 1 ………… (2)
Solving (1) and (2)
a=-5/2
b=1/6
∴A=-5/2P + 1/6P2(square)
CY
Related Maths A Level answers
All answers ▸Calculate the volume of revolution generated by the function, f(x) = (3^x)√x, for the domain x = [0, 1]
If y=5x+4x^3, find dy/dx.
Differentiate y= (2x+1)^3. [The chain rule]
Two particles A and B of mass 2kg and 3kg respectively are moving head on. A is moving at 5m/s and B is moving at 4m/s. After the collision, A rebounds at 4m/s. What is the speed of B and what direction is it moving in?