Answer:
Step-by-step explanation:
Given
See attachment for complete question
Required:
Complete step 6
At step 5, we have:
Take LCM
Take square roots of both sides to get step 6
Hence, the missing radicand is:
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:
Answer:
m<U = 38degrees
Step-by-step explanation:
From the given diagram, <B = <U since both triangles are similar, hence;
Hence;
2y+2 = 3y-16
2y - 3y = -16 - 2
-y = -18
y = 18
Get m<U
m<U = 3y-16
m<U = 3(18) -16
m<U = 54 - 16
m<U = 38degrees
Answer in scientific notation: 8.3x10^-3