100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
SOLUTIONS MANUAL CALCULUS EARLY TRANSCENDENTALS THIRD EDITION by William Briggs Lyle Cochran Bernhard Gillett - (All Chapters) Latest 2024 CA$18.60   Add to cart

Exam (elaborations)

SOLUTIONS MANUAL CALCULUS EARLY TRANSCENDENTALS THIRD EDITION by William Briggs Lyle Cochran Bernhard Gillett - (All Chapters) Latest 2024

 13 views  0 purchase
  • Course
  • Institution
  • Book

SOLUTIONS MANUAL CALCULUS EARLY TRANSCENDENTALS THIRD EDITION by William Briggs Lyle Cochran Bernhard Gillett - (All Chapters) Latest 2024

Preview 4 out of 2042  pages

  • September 14, 2024
  • 2042
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
avatar-seller
Created By: Test Bank


INSTRUCTOR’S SOLUTIONS MANUAL CALCULUS
EARLY TRANSCENDENTALS
THIRD EDITION by William Briggs Lyle Cochran Bernhard Gillett
Chapter 1
Functions
1.1 Review of Functions


1.1.1 A function is a rule that assigns each to each value of the independent variable
in the domain a unique value of the dependent variable in the range.




1.1.2 The independent variable belongs to the domain, while the dependent variable
belongs to the range.




1.1.3 Graph A does not represent a function, while graph B does. Note that graph
A fails the vertical line test, while graph B passes it.




1.1.4 The domain of f is [1, 4), while the range of f is (1, 5]. Note that the domain is
the “shadow” of the graph on the x-axis, while the range is the “shadow” of the
graph on the y-axis.




1.1.5 Item i. is true while item ii. isn’t necessarily true. In the definition of
function, item i. is stipulated. However, item ii. need not be true – for example, the
function f (x) = x2 has two different domain values associated with the one range
value 4, because f (2) = f (−2) = 4.




A+ Page 1

, Created By: Test Bank




1.1.1 The independent variable t is elapsed time and the dependent variable d is distance
above the ground. The domain in context is [0, 8]


1.1.2 The independent variable h is the height of the water in the tank and the
dependent variable V is the volume of water in the tank. The domain in context is
[0, 50]




A+ Page 2

,Created By: Test Bank




A+ Page 3

, Created By: Test Bank


1.1.20 The graph would be the result of leaving the portion of the graph in the first quadrant, and
then also obtaining a portion in the third quadrant which would be the result of reflecting the
portion in the first quadrant around the y-axis and then the x-axis.
1.1.21 Function A is symmetric about the y-axis, so is even. Function B is symmetric about the
origin so is odd. Function C is symmetric about the y-axis, so is even.
1.1.22 Function A is symmetric about the y-axis, so is even. Function B is symmetric about the
origin, so is odd. Function C is also symmetric about the origin, so is odd.




1.1.26 Because the cube root function is defined for all real numbrs, the domain is R, the set of
all real numbers.

1.1.27 The domain consists of the set of numbers w for which 2 − w ≥ 0, so the interval (−∞, 2].

1.1.28 The domain consists of the set of numbers x for which 9 − x2 ≥ 0, so the interval [−3, 3].

1.1.29 Because 1 + t2 is never zero for any real numbered value of t, the domain of this function is
R, the set of all real numbers.




A+ Page 4

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller TestsBanks. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$18.60. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

84669 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
CA$18.60
  • (0)
  Add to cart