A scientist observes a petri dish containing a number of bacteria. On the first day, the dish had 300 bacteria on the second day
2 answers:
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Answer:
f(x) = 3x⁴ - - 17x +
Step-by-step explanation:
To find f'(x), we will follow the steps below:
We will start by integrating both-side of the equation
∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx
f(x) = 3x⁴ - - 17x + C
Then we go ahead and find C
f(1) = 8
so we will replace x by 1 in the above equation and solve for c
f(1) = 3(1)⁴ - - 17(1) + C
8 = 3 - - 17 + C
C =8 - 3 + 17 +
C = 22 +
C =
C =
f(x) = 3x⁴ - - 17x +
Answer:
A) A[p(t)] = 36πt²
B) 7234.56 square units
Step-by-step explanation:
<u>Given functions</u>:
<u>Part A</u>
To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):
<u>Part B</u>
Given
- t = 8 minutes
- π = 3.14
Substitute the given values into the equation for A[p(t)} found in part A:
Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.