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.

$36$.