the horizontal distance ( x direction) from A to C is 7 units and
the vertical distance ( y direction) is 5 units
Applying Pythagoras' Theorem to the right triangle
AC² = 7² + 5² = 49 + 25 = 74, hence
AC =
= 8.6 units ( to 1 dec. place )
Answer:
Step-by-step explanation:
Looking at the right angle triangle that contains x and y, we would apply trigonometric ratio to determine x an y. Taking 60 degrees as the reference angle,
Hypotenuse = y
Adjacent side = x
Opposite side = 36
Therefore,
Sin # = opposite side / hypotenuse
Sin 60 = 36/y
y = 36/Sin60 = 36/0.8660 = 41.57
Cos # = adjacent side/hypotenuse
Cos 60 = x/41.57
x = 41.57Cos 60 = 41.57 × 0.5 = 20.785
Sin45 = z/36
z = 36Sin45 = 36 × 0.7071 = 25.4556
14/N= 14 divided by _____ = 1.75
7/4= 1.75
(Numerator divided by denominator)
So, now fill in the blank, which is your variable. (N)
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:
