Answer:
C) 6 inches
Step-by-step explanation:
Given function:

The function compares plant height in inches to the age of plant in weeks.
So, we can say
represents height of plant in inches.
represents age of the plant in weeks.
In order to predict the height of the plant in 5 weeks, we will plugin
in the given function and evaluate 
⇒ 
⇒ 
⇒
inches
Thus the approximate height of plant in 5 weeks would be
inches
Answer:
5075 cents or 50.75
so sorry if it was wrong!
Answer:
See below
Step-by-step explanation:

Recall

Using the chain rule

such that 
we can get a general formulation for

Considering the power rule

we have

therefore,

Now, once

we have

Hence, we showed

================================================
For the integration,

considering the previous part, we will use the identity

thus

and

Considering 
and then 
we have

Therefore,


Answer: 1) 5040 and 2) 165
Step-by-step explanation:
1) Here total number of letters = 10
The number of permutations that can be formed using 4 letters at a time
= P (10, 4)
= 
= 
= 
= 
= 10 × 9 × 8 × 7
= 5040
2) Here the total number of machine = 11
The different combinations of machines can Geoff choose from to use
= 
= 
= 
= 
= 11 × 5 × 3
= 165