2) The formula for the area of a circle is: A =
Differentiate both sides to get:
where dA/dt is the rate of change of the area of the circle with respect to time, and dr/dt is the rate of change of the radius of the circle with respect to time.
We want to know dA/dt when r = 3 and dr/dt = 2, so plug those into the equation to get:
3) The amount of revenue gained in a week is equal to the price per good times the number of goods sold, or R = x*p. Thus, R = x(150-.002x) = 150x - .002x^2. Differentiate both sides to get:
, where dR/dt is the rate of change of revenue and dx/dt is the rate of change of production.
We want dR/dt when dx/dt = 200 and x = 2000, so plug those in to get:
Angle A, B, and C add to 180.
Angle C = 180-(44+62)
Angle C = 74 degrees
Angle C and Angle D are vertical angles so Angle D = 74 degrees.
Angle D, E, and F add to 180.
Angle F = 180 - 50 - 74
25x² - 36x +9, when x = 2
(25 × 2)² - (36 × 2) + 9
50² - 72 + 9
2 500 - 72 + 9
using BODMAS
2 500 + 9 - 72
2 509 - 72
= 2 437
Answer:
If two quantities are proportional, then they have a constant ratio. If the ratio is not constant, the two quantities are said to be non-proportional.