You have 1000 feet of flexible pool siding and intend to construct a swimming pool. Experiment with rectangular- shaped pools with perimeters off 1000 feet. How do their areas vary? What is the shape of the rectangle with the largest area? Now complete the area enclosed by a circular pool with a perimeter (circumference) of 1000 feet. What would be your choice of shape for the pool? If rectangular, what is your perference for dimensions? Justify your choice. If your only objective is to have a pool that encloses the most areas, what shape should you use?
You have 1000 feet of flexible pool siding and intend to construct a swimming pool. Experiment with rectangular- shaped pools with perimeters off 1000 feet. How do their areas vary? What is the shape of the rectangle with the largest area? Now complete the area enclosed by a circular pool with a perimeter (circumference) of 1000 feet. What would be your choice of shape for the pool? If rectangular, what is your perference for dimensions? Justify your choice. If your only objective is to have a pool that encloses the most areas, what shape should you use?
Solution Summary: The author explains the formula for the area of a rectangle is A=lw.
You have
1000
feet of flexible pool siding and intend to construct a swimming pool. Experiment with rectangular- shaped pools with perimeters off
1000
feet. How do their areas vary? What is the shape of the rectangle with the largest area? Now complete the area enclosed by a circular pool with a perimeter (circumference) of
1000
feet. What would be your choice of shape for the pool? If rectangular, what is your perference for dimensions? Justify your choice. If your only objective is to have a pool that encloses the most areas, what shape should you use?
j)
f) lim
x+x ex
g) lim Inx
h) lim x-5
i) lim arctan x
x700
lim arctanx
811x
4. Evaluate the following integrals. Show your work.
a)
-x
b) f₁²x²/2 + x² dx
c) fe³xdx
d) [2 cos(5x) dx
e) √
35x6
3+5x7
dx
3
g) reve
√ dt
h) fx (x-5) 10 dx
dt
1+12
I just need help with evaluating these limits.
Chapter A Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- Instant Access (Pearson+)
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Area of a Rectangle, Triangle, Circle & Sector, Trapezoid, Square, Parallelogram, Rhombus, Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=JnLDmw3bbuw;License: Standard YouTube License, CC-BY