a. Write a variation model using k as the constant of variation if Z is directly proportional to the cube of A and inversely proportional to the square root of 8 . b. If Z = 100 when A = 2 and B = 25 , what is the constant of proportionality k ?
a. Write a variation model using k as the constant of variation if Z is directly proportional to the cube of A and inversely proportional to the square root of 8 . b. If Z = 100 when A = 2 and B = 25 , what is the constant of proportionality k ?
Solution Summary: The author explains how to determine the value of the constant of proportionality k.
a. Write a variation model using
k
as the constant of variation if
Z
is directly proportional to the cube of
A
and inversely proportional to the square root of
8
.
b. If
Z
=
100
when
A
=
2
and
B
=
25
, what is the constant of proportionality
k
?
Assuming that the rate of change of the price P of a certain commodity is proportional to the difference between demand D and supply S at any time t, the differential equations describing the price fluctuations with respect to time can be expressed as: dP/dt = k(D - s) where k is the proportionality constant whose value depends on the specific commodity. Solve the above differential equation by expressing supply and demand as simply linear functions of price in the form S = aP - b and D = e - fP
Find the area of the surface obtained by rotating the circle x² + y² = r² about the line y = r.
1) Find the equation of the tangent line to the graph y=xe at the point (1, 1).
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY