# Questions in Section Calculus I

Find f(g(x)) if f(x)=1/x and g(x)=(4-x)/(2+x)

Find the equation of the tangent line to the graph x^2+y^2-3xy=-11x at the point (-1,2).

1. Find the differential dy for y=6tan(x)
2. Evaluate dy for the given values of x and dx: x=pi/3, dx=-0.1

Let f(x)=ax^2+bx+c. Find a, b, c so that the tangent to the graph of y=f(x) at (1,5) has a slope of 1 and f(0)=-5.

Find the critical numbers of f(x)=10x^2+6x

Find lim_(x->0)(ln(x))^tan(x).

Find the derivative of y=(x^2+2/x^2+3)^(1/9)

Find a polynomial f(x) of degree 3 that has the following zeros: 8, 0, -3.

A powerful earthquake had a magnitude of 8.2 on the Richter scale. An earthquake several years earlier was 1.44 times as intense. What was the magnitude of the earlier earthquake?

lim_(x->oo) 4^x/(x!)

Use the squeeze theorem to find the answer.