First, we need to take the integral of ∛x+2 which is the same as x^1/3+2. To integrate the first part, we add one to the exponent and multiply by the new exponent's reciprocal to get 3/4*x^4/3. Then, the 2 would become a 2x. Now, we are finding the value of 3/4*x^4/3+2x from -1 to 1. To do this, you plug in the top value (1) first, and then subtract the result of plugging in the lower value (-1): [3/4*1^4/3+2(1)]-[3/4*(-1)^4/3+2(-1)]. This would be simplified to [3/4+2]-[3/4-2]. After distributing the negative, it becomes 3/4+2-3/4+2 or simply 4.
I hope this helps
- The initial number of bacteria present is equal to 270 bacteria.
- The number of bacteria that will be in the petty dish after 12 hours is 167818 bacteria.
<h3>What is an exponential function?</h3>
An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:
f(x) = eˣ
<h3>How to calculate the initial number of bacteria?</h3>
B(t) = 150e^0.585t
When t = 1, we have:
B(1) = 150e^0.585(1)
B(1) = 150e^0.585
B(1) = 269.25 ≈ 270 bacteria.
<h3>How many bacteria will be in the petty dish after 12 hours?</h3>
B(12) = 150e^0.585(12)
B(12) = 150e^7.02
B(12) = 167817.99 ≈ 167818 bacteria.
Read more on exponential functions here: brainly.com/question/27866047
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Part 1/
5 + x - 14 = x - 7
We’ll cancel (X) from both sides;
5 - 14 = -7
-9 = -7
Since, -9 = -7 is False, there is no solution.
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Part2/
If we use x = -2, 0, 3
1) Case of X = -2
5 + (-2) - 14 = (-2) - 7
5 - 2 - 14 = -2 - 7
3 - 14 = -9
-11 = -9 .... False / No Solution
2) Case of X = 0
5 + (0) - 14 = (0) - 7
5 - 14 = -7
-9 = -7 ... False / No Solution
3) Case of X = 3
5 + (3) - 14 = (3) - 7
8 - 14 = -4
-6 = -4 ... False / No Solution
