Pearson eText for Finite Mathematics with Applications In the Management, Natural, and Social Sciences -- Instant Access (Pearson+)
12th Edition
ISBN: 9780137554874
Author: Margaret Lial, Tom Hungerford
Publisher: PEARSON+
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Chapter P, Problem 12PST
Given the following rectangular
| A:
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B:
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C:
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(x)=2x-x2
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JANUARY 17, 2025
WORKSHEET 1
Solve the following four problems on a separate sheet. Fully justify your answers to
MATH 122
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earn full credit.
1. Let f(x) = 2x-
1x2
2
(a) Rewrite this quadratic function in standard form: f(x) = ax² + bx + c
and indicate the values of the coefficients: a, b and c.
(b) Find the vertex V, focus F, focal width, directrix D, and the axis of
symmetry for the graph of y = f(x).
(c) Plot a graph of y = f(x) and indicate all quantities found in part (b)
on your graph.
(d) Specify the domain and range of the function f.
OUR
2. Let g(x) = f(x) u(x) where f is the quadratic function from problem 1
and u is the unit step function:
u(x) = { 0
1 if x ≥0
0 if x<0
y = u(x)
0
(a) Write a piecewise formula for the function g.
(b) Sketch a graph of y = g(x).
(c) Indicate the domain and range of the function g.
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where u is the unit step function defined in problem 2.
3. Let…
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Review Progress
acer
Q7. A business office orders paper supplies from one of three vendors, V₁, V2, or V3.
Orders are to be placed on two successive days, one order per day. Thus, (V2, V3)
might denote that vendor V2 gets the order on the first day and vendor V3 gets the
order on the second day.
(a) List the sample points in this experiment of ordering paper on two successive
days.
(b) Assume the vendors are selected at random each day and assign a probability
to each sample point.
(c) Let A denote the event that the same vendor gets both orders and B the event
that V2 gets at least one order. Find P(A), P(B), P(AUB), and P(An B) by
summing the probabilities of the sample points in these events.
Chapter P Solutions
Pearson eText for Finite Mathematics with Applications In the Management, Natural, and Social Sciences -- Instant Access (Pearson+)
Ch. P - Find the most simplified answer for the given...Ch. P - Find the most simplified answer for the given...Ch. P - Find the most simplified answer for the given...Ch. P - Simplify the given expression, keeping in mind the...Ch. P - Simplify the given expression, keeping in mind the...Ch. P - Indicate whether each of the statements is true or...Ch. P - Prob. 7PSTCh. P - Prob. 8PSTCh. P - Prob. 9PSTCh. P - Prob. 10PST
Ch. P - Prob. 11PSTCh. P - Given the following rectangular coordinate system,...Ch. P - Given the following rectangular coordinate system,...Ch. P - Round the following values as indicated: a 4.27659...Ch. P - Prob. 15PSTCh. P - Prob. 16PSTCh. P - Prob. 17PSTCh. P - Answer the following. If there is no solution,...Ch. P - Prob. 19PSTCh. P - Which number is greater, 9 or 900?
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