Instructions: You must SHOW ALL WORK done; answers without supporting work will

Question

Instructions: You must SHOW ALL WORK done; answers without supporting work will reoeive no credit. Write legibly and carefully label any pictures or graphs. State any theorems or formulas you are using and explain your process where needed; presentation is a component of your grade. Draw a BOX around your final answer. Partial credit will be given for those parts of your solution that are correct. 1. Deternine the average rate of change of f()22 between 0 and z 10 02.O 306 s layer of edimentation at the bottom that increases every year. The depth of the sediment is modeled by the function Dic) 21+.22t, wbere t is the number of years since 1980 and Dir) is measured in centim In what year will there be 43 oentimeters of sediment at the bottom of the lake? 2. A lake has 1 of 5

Explanation / Answer

1) f(x) = x^3 - 2x^2

from x = 0 to x = 10

average rate of change = f(b) - f(a) / (b-a)

f(10) = 10^3 - 2(10)^2 = 800

f(0) = 0^3 - 10(0)^2 = 0

average rate of change = 800 - 0 / 10 - 0

= 80

2) D(t) = 21 + .22t

43 = 21 + .22t

t = 100

so, in the year 2080 there will be 43 cm sediments at the bottom

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.