Given df/dx=2x+3 and the graph goes through (1,1), what is the function f?
First step: integrate int df/dx = x^2+3x+c (never forget the constant!)
Second step: substitute the point in order to get c
1 = (1)^2+3*1+c -> c = 1-1-3=-3
Thus, f = x^2+3x-3
EG
Related Maths A Level answers
All answers ▸An open-topped fish tank is to be made for an aquarium. It will have a square base, rectangular sides, and a volume of 60 m3. The base materials cost £15 per m2 and the sides £8 per m2. What should the height be to minimise costs?
A particle of mass 0.8 kg moving at 4 m/s rebounds of a wall with coefficient of restitution 0.3. How much Kinetic energy is lost?
Solve the simultaneous equations: y + 4x + 1 = 0, and y^2 + 5x^2 + 2x = 0.
Show that the line y = x - 7 does not meet the circle (x + 2)^2 + y^2 = 33.