(a)
We have been given an equation
. Upon taking derivative of this equation with respect to x on both the sides, we get:

(b)
In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:

Therefore, equation of tangent line is:

(c)
We know that slope of tangent is given as
. The tangent will be vertical when denominator of slope is zero, that is:

Answer:
democracy would have more than one branch of government ; power would be evenly split amongst them. in the United states, Congress has the most power of all branches. they can pass laws, impeach presidents and impeach judges
Answer:
Society today is fraught with depression, prejudice, judgements, self-serving hatred, and low self image, and we must take great strides to achieve a society where everyone is appreciated and accepted.
Explanation:
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
Without any information i would say the industrial revolution and the pollution that occured because of it