Hi. I was wondering if anyone could help me on these two problems. I'm having some difficulty with the problems, so if someone could please explain it, I'd be very grateful. Thanks.
1. Let f be the function given by f(x) = x^3 - 6x^2 + 7x + 3. The tangent line to the graph at x = 4 is used to approximate f(4.2). What is the error in this approximation?
A) 0 B) 0.008 C) 0.248 D) 0.400 E) 0.648
2. Let f be the function given by f(x) = (x^2)(lnx). For what value of x is the slope of the line tangent to the graph at (x, f(x)) equal to 2?
A) 1.305 B) 1.548 C) 2.000 D) 2.548 E) 4.773