Polynomial Calculus Problems (Solution)


Date: MATH 1210-4 - Spring 2004

Note: These are the solution for the odd-numbered problems.

Section 1
1.
$ 1$.
3.
$ \frac{1}{2}$.
5.
$ -\frac{2}{5}$.
7.
$ y=2x$.
9.
$ y+1=-3(x-2)$.
11.
$ y-5= - \frac{2}{3} x$.
13.
$ y = 3x+1$.
15.
Slope $ 3$; $ y$-intercept $ -2$.
17.
$ y-1 = 3(x-1)$.
19.
$ y=-\frac{1}{3}(x-1)$.
21.
$ y=1$.
23.
Intersection point $ (\frac{2}{5}, \frac{11}{5})$; distance $ \frac{3}{\sqrt{5}}$.
25.
$ \frac{3}{\sqrt{5}}$.

Section 2
1.
$ 3$.
3.
$ 4$.
5.
$ 2$.
7.
$ 3$.
9.
$ 1$.
11.
$ 6x$.
13.
$ 3x^2$.

Section 3
1.
$ 9x^8$.
3.
$ 3$.
5.
$ 8x^3+3x^2-10x+1$.
7.
$ 3$.
9.
$ 1$.
11.
0.
13.
$ v(t)=-32t+32$; $ t_{max} = 1$; $ s_{max} = 22$.

Section 4
1.
$ x^2-3x+C$.
3.
$ \frac{1}{6}x^6+\frac{1}{2}x^4+x+C$.
5.
$ \frac{1}{3}x^3-5x+2$.
7.
$ \frac{1}{2}x^4+\frac{1}{2}$.
9.
$ v(t)=-32t+64$; $ t_{max} = 2$.

Section 5
1.
$ \frac{64}{3}$.
3.
$ \frac{1}{30}$.
5.
$ \frac{179}{6}$.
7.
$ 36$.



Javier Fernandez 2004-01-23