equation. 1. The time (T) required to travel is directly proportional to the distance(d). 2. The volume (V) of a given mass of gas is directly proportional to the temperature(t). 3. At a constant temperature, the volume of a gas (G) varies inversely as the pressure (p). 4. The weights (W)of two kids on a seesaw vary inversely as their corresponding distances (d) from the fulcrum 5. The kinetic energy (K)of a moving object varies jointly as the mass(m) if the object and the velocity(v). 6. The heat (H)produced by an electric lamp varies jointly as the existence (e) and the velocity(v). 7. The heat (H) produced by an electric lamp varies jointly as the resistance (r) and the the current( c ). 8. The perimeter (P) of a rectangle varies directly with the sum of lengths of sides length)
equation. 1. The time (T) required to travel is directly proportional to the distance(d). 2. The volume (V) of a given mass of gas is directly proportional to the temperature(t). 3. At a constant temperature, the volume of a gas (G) varies inversely as the pressure (p). 4. The weights (W)of two kids on a seesaw vary inversely as their corresponding distances (d) from the fulcrum 5. The kinetic energy (K)of a moving object varies jointly as the mass(m) if the object and the velocity(v). 6. The heat (H)produced by an electric lamp varies jointly as the existence (e) and the velocity(v). 7. The heat (H) produced by an electric lamp varies jointly as the resistance (r) and the the current( c ). 8. The perimeter (P) of a rectangle varies directly with the sum of lengths of sides length)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
direct variation
Transcribed Image Text:Direction: Translate each statement into a mathematical equation.
1. The time (T) required to travel is directly proportional to the distance(d).
2. The volume (V) of a given mass of gas is directly proportional to the temperature(t).
3. At a constant temperature, the volume of a gas (G) varies inversely as the pressure (p).
4. The weights (W)of two kids on a seesaw vary inversely as their corresponding distances (d)
from the fulcrum
5. The kinetic energy (K)of a moving object varies jointly as the mass(m) if the object and
the velocity(v).
6. The heat (H)produced by an electric lamp varies jointly as the existence (e) and the
velocity(v).
7. The heat (H) produced by an electric lamp varies jointly as the resistance (r) and the
the current(c).
8. The perimeter (P) of a rectangle varies directly with the sum of lengths of sides length(1)
and with the width (w).
9. The time(T) it takes to construct a highway varies directly as the length (1)of the road 1 but
inversely with the number of workers (w).
10. If a varies directly with the cube of b and inversely with c.
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