Exotic curves Graph the curves described by the following functions. Use analysis to anticipate the shape of the curve before using a graphing utility. 40. r ( t ) = cos t sin 3 t i + sin t sin 3 t j + t k , for 0 ≤ t ≤ 9
Exotic curves Graph the curves described by the following functions. Use analysis to anticipate the shape of the curve before using a graphing utility. 40. r ( t ) = cos t sin 3 t i + sin t sin 3 t j + t k , for 0 ≤ t ≤ 9
Solution Summary: The author illustrates the function r(t)=langle mathrmcost
4T and x =
4т.
Sketch the graph of the following between x =
sin x
0.5+
27
47
-Зл
-27
-0.5-
Draw: M
Clear All
(4º).
On a piece of paper, find and sketch the domain of the function.
What shape is the domain? ?
Consider the function f(x, y) = arctan
Find the function's range.
The range is (-pi/2,pi/2)
(Enter your answer using interval notation.)
On a piece of paper, find and sketch a set of level curves at equally-spaced heights on the same
set of axes. Try to visualize and draw the graph of the function.
What shape are the level curves?
?
On a piece of paper, find and sketch the boundary of the function's domain.
What shape is the boundary of the domain? ?
Is the domain bounded or unbounded? Open or closed?
Unbounded, open
find the period, vertical stretch and equation of the graph below.
Chapter 11 Solutions
Student Solutions Manual, Single Variable for Calculus: Early Transcendentals
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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