Answer:
a. 
b. 
c.
Step-by-step explanation:
a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:
b) The income function is given by the relation 
.
The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:
(c) The profit function of the company is given by the relation 
, and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:
When q = 2000, the marginal utility is:
When q = 7000, the marginal utility is:
6.5 times 4 and 13 times 2
Answer:
15 feet
Step-by-step explanation:
This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.
The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.
1. Plug your given values correctly into the Pythagorean Theorem.
2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).
--> Square 8 and 17
--> Subtract 64 from both sides
--> Square root both sides to get b by itself
b = 15
3. The distance is 15 feet
*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder
Answer:
10
Step-by-step explanation:
sqrt root (x2-x1)^2 + (y2-y1)^2
