1. The perimeter p f a square varies directly as its side. A square of side 1.0 cm has a perimeter of 4.0 cm (a) write the equation relating perimeter and side of a square. (b) What is the proportionality constant K? (c) Compute the perimeter of a square for the following sides: 1.5cm, 2.0 cm, 2.5 cm, 3.0 cm and 3.5 cm (d) draw the graph of perimeter versus side. 2. The area of a circle varies directly as the square of its radius, with the constant of variation equal to 1. Use π = 3.14. Find the area corresponding to a circle of radius (a) 1.00cm, (b) 2.00 cm, (c) 3.00 cm, (d) 4.00 cm, and (e) 5.00 cm. Plot an area A versus radius r and an area A versus the square of radius r graph.
1. The perimeter p f a square varies directly as its side. A square of side 1.0 cm has a perimeter of 4.0 cm (a) write the equation relating perimeter and side of a square. (b) What is the proportionality constant K? (c) Compute the perimeter of a square for the following sides: 1.5cm, 2.0 cm, 2.5 cm, 3.0 cm and 3.5 cm (d) draw the graph of perimeter versus side. 2. The area of a circle varies directly as the square of its radius, with the constant of variation equal to 1. Use π = 3.14. Find the area corresponding to a circle of radius (a) 1.00cm, (b) 2.00 cm, (c) 3.00 cm, (d) 4.00 cm, and (e) 5.00 cm. Plot an area A versus radius r and an area A versus the square of radius r graph.
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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Transcribed Image Text:Answer the questions below
1. The perimeter pf a square varies directly as its
side. A square of side 1.0 cm has a perimeter
of 4.0 cm (a) write the equation relating
perimeter and side of a square. (b) What is the
proportionality constant K? (c) Compute the
perimeter of a square for the following sides:
1.5cm, 2.0 cm, 2.5 cm, 3.0 cm and 3.5 cm (d)
draw the graph of perimeter versus side.
2. The area of a circle varies directly as the
square of its radius, with the constant of
variation equal to 1. Use π = 3.14. Find the
area corresponding to a circle of radius (a)
1.00cm, (b) 2.00 cm, (c) 3.00 cm, (d) 4.00 cm,
and (e) 5.00 cm. Plot an area A versus radius r
and an area A versus the square of radius r
graph.
3. The distance travelled by an object starting
from rest and moving with constant
acceleration varies directly as the square of
time. Write the equation relating distance and
time using k as the proportionality constant. If
the object has moved 2.0 m in 1.0 s compute
the distance travelled in (a) 2.0 s (b) 3.0 s (c)
4.0 s (d) 5.0 s and (e) 6.0 s Plot the graphs of
distance versus time and distance versus the
square of time.
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