A telephone company offers the following plans . Also given are the piecewise functions that model these plans. Use this information to solve Exercises 95-96. Plan A . 530 per month buys 120 minutes. • Additional time costs SO.30 per minute. C ( t ) = { 30 if 0 ≤ t ≤ 120 30 + 0.30 ( t − 120 ) if t > 120 Plan B • $40 per month buys 200 minutes. • Additional time costs $0.30per minute. C ( t ) = { 40 if 0 ≤ t ≤ 200 40 + 0.30 ( t − 200 ) if t > 200 Simplify the algebraic expression in the second line of the piecewise function for plan A. Then use point-plotting to graph the function.
A telephone company offers the following plans . Also given are the piecewise functions that model these plans. Use this information to solve Exercises 95-96. Plan A . 530 per month buys 120 minutes. • Additional time costs SO.30 per minute. C ( t ) = { 30 if 0 ≤ t ≤ 120 30 + 0.30 ( t − 120 ) if t > 120 Plan B • $40 per month buys 200 minutes. • Additional time costs $0.30per minute. C ( t ) = { 40 if 0 ≤ t ≤ 200 40 + 0.30 ( t − 200 ) if t > 200 Simplify the algebraic expression in the second line of the piecewise function for plan A. Then use point-plotting to graph the function.
Solution Summary: The author explains the simplified algebraic expression in the second line of function C(t)=l30,if 0le t
A telephone company offers the following plans. Also givenare the piecewise functions that model these plans. Use this information to solve Exercises 95-96.
Plan A.530 per month buys 120 minutes.
• Additional time costs SO.30 per minute.
C
(
t
)
=
{
30
if
0
≤
t
≤
120
30
+
0.30
(
t
−
120
)
if
t
>
120
Plan B
•$40 per month buys 200 minutes.
• Additional time costs $0.30per minute.
C
(
t
)
=
{
40
if
0
≤
t
≤
200
40
+
0.30
(
t
−
200
)
if
t
>
200
Simplify the algebraic expression in the second line of the piecewise function for plan A. Then use point-plotting to graph the function.
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
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3 13 Details
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You are provided with three 2D data points, p1, p2 and p3. Solving A C = B for C provides youwith the coefficients of a natural cubic spline curve that interpolates these points.Additionally, you have been given A and B, but some elements are missing. Moreover, the last two rowsof A are entirely absent. Your task is to determine and fill in the missing elements. For the last two rows,enforce a zero tangent at the beginning (in p1) and a not-a-knot boundary condition in p2. The matricesA and B are given as follows:Explain how to find the entries of A and B . How would you adapt these matrices if the data pointswere 3D? What if your spline should go through five data points? How many “extra rows” would there thenbe (with “extra” meaning “in addition to securing C2-continuity”)?
Which graph represents f(x) = √x-2+3?
Chapter 2 Solutions
Blitzer Algebra And Trigonometry, 6th Edition, 9780134585291, 0134585291, 2018
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