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
Other assumptions associated with this question are as follows:
- One person can feed on 1 hen/day for a year
- 1 hen must east 25 grasshoppers /day
- the total mass of 1000 grasshoppers is 1kg
- 600 grasshoppers are needed to feed 1 human per day
Grasshoppers is represented as Gh.
The total amount needed to feed the hen per year is:
- If expressed in Kg, then it would be 9,125/1000 which is
- = 9.125Kg/annum.
So if the farmer chose to live on grasshoppers rather than on hens, the calculation is given as follows:
- (90 kg/1 hour) x (24 hours/1 day) x (1 person/ 600 Gh)
The amount of Grasshoppers required is given as follows;
If the farmer can gather 90 Gh in one hour then,
- The total amount of Gh per day is 90 x 24 = 2,160
- the total amount of Gh available in a year is 2160 x 365 = 788,400 Gh/Year
- If 600 grasshoppers are quired to feed the human per day, then we work backward
- The total amount of Gh available in a day is 788,400/365. This is equal to 2160 Gh
- The total amount of people this can feed is given as 2,160/600
- Which is equal to 3.6 persons.
Since humans or people cannot be divided into fractions like a measure of sugar or a measure of liquid, the answer is best left to the most approximate digit with it 4 Persons.
Learn more about Trophic Levels and food availability here:
brainly.com/question/2001301
Given that:
Lake Superior contains 3.0 x 10^15 gallons of water
Firstly, let's know that of 1 gallon;
1 gallon = 0.00375 cubic meter
Then, 3.0 x 10 ^15 = 3.0x10^15 x 3.785 x 10 ^-3
= 3 x 3.785 x 10^15-3
= 11.355 x 10 ^12m^3
Therefore, 11.355x10^12 cubic meters of water are contained in the lake.
The first thing you have to realize is that
tangent is the
slope of a curve on a given point. You can solve for the slope by finding the derivative of the given function. So:
Next use
product rule (I recommend watching videos if you're confused):
![= [sin(x)] + [x*cos(x)]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28x%29%5D%20%2B%20%5Bx%2Acos%28x%29%5D)
Next substitute you x-value (π/2) into your derivative:
![= [sin( \frac{ \pi}{2} )] +[ \frac{\pi}{2}*cos( \frac{\pi}{2})]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28%20%20%5Cfrac%7B%20%5Cpi%7D%7B2%7D%20%29%5D%20%2B%5B%20%5Cfrac%7B%5Cpi%7D%7B2%7D%2Acos%28%20%5Cfrac%7B%5Cpi%7D%7B2%7D%29%5D%20%20)
So our slope at π/2 is 1. Next we use our slope-form and substitute our given value and solve for y-intercept (algebra-stuff)
So we get our equation:
So our answer is E
Feel free to ask any questions.
Hopes this helps!
