The graph represents the percentage of required topics in a precalculus course, p(t), that a student learned at various times, t, throughout the course. At time t2, the student panicked for an instant during an exam. At time t3, after working on a set of cumulative review exercises, a big jump in understanding suddenly took place. p(t)100Rectangulan90y = p[t)8070605040302010t2t3t4TimePrecalculus course begins.Precalculus course ends.a. Find lim p(t) and p(t1).b. Is p continuous at t,? Use the definition of continuity toexplain your answer.c. Find lim p(t) and p(t2).d. Is p continuous at t2? Use the definition of continuity toexplain your answer.e. Find lim p(t) and p(t3).f. Is p continuous at t3? Use the definition of continuity toexplain your answer.g. Find lim p(t) and p(t4).h. Explain the meaning of both the limit and the functionvalue in part (g) in terms of the time in the course and thepercentage of topics learned.Percentage of Material Learned

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Description: The graph represents the percentage of required topics in a precalculus course, p(t), that a student learned at various times, t, throughout the course. At time t2, the student panicked for an instant during an exam. At time t3, after working on a se

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The graph represents the percentage of required topics in a precalculus course, p(t), that a student learned at various times, t, throughout the course. At time t₂, the student panicked for an instant during an exam. At time t₃, after working on a set of cumulative review exercises, a big jump in understanding suddenly took place.

p(t)
100
Rectangulan
90
y = p[t)
80
70
60
50
40
30
20
10
t2
t3
t4
Time
Precalculus course begins.
Precalculus course ends.
a. Find lim p(t) and p(t1).
b. Is p continuous at t,? Use the definition of continuity to
explain your answer.
c. Find lim p(t) and p(t2).
d. Is p continuous at t2? Use the definition of continuity to
explain your answer.
e. Find lim p(t) and p(t3).
f. Is p continuous at t3? Use the definition of continuity to
explain your answer.
g. Find lim p(t) and p(t4).
h. Explain the meaning of both the limit and the function
value in part (g) in terms of the time in the course and the
percentage of topics learned.
Percentage of Material Learned

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