I have an Calc test tomorrow and I had some trouble when reviewing with these few questions. Please help me out with them? :]
1) Find the equations of all the tangent lines to the graph of f(x)=4x-x^2 that pass through the point (2,5)
2) The line y=x-6 is parallel to the tangent drawn to the curve y= (kx+8)/(k+x) at x=-2. What is the value of k?
3) If p(x)=(x-1)(x+k) and if the line tangent to the graph of p at the point (4, p(4)) is parallel to the line 5x-y+6=0, then find the value of k
4) Let f be the function f(x)=x^3+3x^2-x+2. The tangent to the graph of f at the point P(2, f(2)) intersects the graph of f again at point q. Find the coordinates of Q
Thanks a bundle!