Mathematics Homework Help

1. The distance s (in

$$undefined[ ]$$ / $$ as a function of time t (in $$ ) is given by =4[ ] −4.9 2$\mathrm{}\mathrm{}{}^{\mathrm{}}$ .

Your instructor will provide you with a. Simply replace the letter with the corresponding digit. Do not multiply. For example, if [ ]=1$\mathrm{}$, then 4[ ]$\mathrm{}$ is 41.

Find the answers to these questions.

• find $$ for =0$\mathrm{}$
• find $$ for =4$\mathrm{}$
• find $$ for =5$\mathrm{}$
• What conclusions can you draw?

State the value you are using for a before you show the work to answer these four questions. Remember to use the Canvas Equation Editor.

Find the derivative of each of the following functions, first by using the product rule, then by multiplying each function out and finding the derivative of the higher-order polynomial. Post both solutions using the Canvas Equation Editor along with explanations of the intermediate steps that demonstrate your understanding of the derivative

• (4 +6)(9 −5)$\mathrm{}\mathrm{}\mathrm{}\mathrm{}$
• 4 2(3 3−2 2+5 )$\mathrm{}{}^{\mathrm{}}\mathrm{}{}^{\mathrm{}}\mathrm{}{}^{\mathrm{}}\mathrm{}$
• (3 2− +1)(7− 6)$\mathrm{}{}^{\mathrm{}}\mathrm{}\mathrm{}{}^{\mathrm{}}$
• (ℎ3−5)(3ℎ2−5ℎ−4)${}^{\mathrm{}}\mathrm{}\mathrm{}{}^{\mathrm{}}\mathrm{}\mathrm{}$

Submit your initial post by the fourth day of the module week.