7th Edition By Ron Larson; Bruce H. Edwards 9781337552516
ALL Chapters
S = ut ,what does tanθ=where θ is the angle between the line and the horizontal - ANSWER: u
δx stands for ? - ANSWER: A small step in x
How is the derivative of y w.r.t x written - ANSWER: dy/dx= lim δy/δx = lim f(x+δx)− f(x)/δx
δx→0 δx→0
d/dx(sinx)= - ANSWER: cosx
d/dx(cosx) - ANSWER: -sinx
d/dx(sin2x)= - ANSWER: 2cos2x
e^x = - ANSWER: 1 + x + 1/2x^2 + ...
d/dx(e^x) - ANSWER: e^x
d/dx(lnx)= - ANSWER: 1/x
d/dx(e^cx)= - ANSWER: ce^cx
d/dx(lncx) - ANSWER: 1/x
y=ln[lnf(x)] what's dy/dx - ANSWER: f'(x) /f(x)
∫a/x dx - ANSWER: alnx + C
∫sinaxdx - ANSWER: -1/a cosax + C
∫cosaxdx - ANSWER: 1/a sinax + C
∫e^ax dx - ANSWER: 1/a e^ax + C
b
∫a f(x)dx= - ANSWER: F(b) - F(a)
if C is constant ∫Cf(x)dx= - ANSWER: C∫f(x)dx
∫[f(x) + g(x)]dx= - ANSWER: ∫f(x)dx+∫g(x)dx
if a doesnt equal 0 and b are constants and dF/dx=f(x) then ∫f(ax +b)dx= - ANSWER: 1/a F=(ax + b)+C
b
∫a f(x)dx= when you swap b and a - ANSWER: a
-∫bf(x)dx
vector - ANSWER: A quantity that has magnitude and direction
how is the magnitude of a vector found - ANSWER: pythagoras theorem