1. Find an equation of the tangent line to the curve y=7sinx+sin2x, at the point (0,0).

Result: y=

2.Find the equation of the tangent line to the curve y=13sinx+5cosx at the point (0,1/5).

Result: The equation of this tangent line can be written in the form y=mx+b where m= , and b= .

3. Find an equation of the tangent line to the bullet-nose curve, y=|x|2x2, at the point (1,1).

Result: y=

4.Let y+y6y=0.

Find all values of r such that y(t)=e^rt satisfies the equation. r=