Given the beam below:

$($PLEASE SHOW STEPS AND EXPLANTION FOR EVERY PART$)$

PART $1$

The maximum positive moment occurs mostly near at$\_\_\_\_\_\_$ft from support A $($Select from one the following$)$

Option A: $11\mathrm{.}8$ ft

Option B: $15\mathrm{.}3$ ft

Option C: $9\mathrm{.}8$ ft

Option D: $20$ ft

Option E: $10\mathrm{.}7$ ft

Option F: $12\mathrm{.}5$ ft

PART $2$

Using the x coordinate as shown. The equation of the bending moment $($M$)$ in segment BC is that of a$\_\_\_\_\_\_\_($Select from one the following$)$

Option A: curve of $2$nd degree that is concave

Option B: straight line with a positive slope

Option C: curve of $2$nd degree that is convex

Option D: straight line with a negative slope

Option E: horizontal line

PART $3$

The point of inflection occurs mostly near at$\_\_\_\_\_\_$ft from support A $($Select from one the following$)$

Option A: $10$ ft

Option B: $30\mathrm{.}4$ ft

Option C: $15\mathrm{.}5$ ft

Option D: $19\mathrm{.}6$ ft

Option E: $17\mathrm{.}3$ ft

Option F: $18\mathrm{.}7$ ft

PART $4$

Using the x coordinate as shown. The equation of the bending moment $($M$)$ in segment AB is that of a$\_\_\_\_\_\_\_($Select from one the following$)$

Option A: curve of $3$rd degree that is convex

Option B: a straight line with a negative slope

Option C: a horizontal line

Option D: curve of $3$rd degree that is concave

Option E: a straight line with a positive slope

Option F: curve of $2$nd degree that is concave

Option G: curve of $2$nd degree that is convex

PART$5$

The maximum negative moment in lb$-$ft is mostly near$\_\_\_\_\_($Select from one the following$)$

Option A: $2600$

Option B: $2200$

Option C: $2400$

Option D: $200$