Precalculus: A Unit Circle Approach
2nd Edition
ISBN: 9780321825391
Author: Ratti
Publisher: PEARSON
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Chapter A.3, Problem 3E
To determine
To reduce the given rational expression to lowest terms and to identify all the numbers that must be excluded from the domain of the given rational expression.
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Let I =
f(x) dx, where f is the function whose graph is shown.
4
2
y
f
X
1
2
3
4
(a) Use the graph to find L2, R2 and M2.
R₂
M2
=
=
=
(b) Are these underestimates or overestimates of I?
O 42 is an underestimate.
O 42 is an overestimate.
◇ R2 is an underestimate.
OR2 is an overestimate.
OM2 is an underestimate.
○ M2 is an overestimate.
(c) Use the graph to find T2.
T₂ =
Vector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees.a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together.b) Find the magnitude of the resultant vector.c) Find the direction of the resultant vector relative to vector u.
Solding by finding the x and y of the vectors and adding
Find the range and all the answers. Remark that the range isn’t between -(pi/2) and (pi/2)
Chapter A.3 Solutions
Precalculus: A Unit Circle Approach
Ch. A.3 - In exercises 10, reduce each rational expression...Ch. A.3 - Prob. 2ECh. A.3 - Prob. 3ECh. A.3 - Prob. 4ECh. A.3 - Prob. 5ECh. A.3 - Prob. 6ECh. A.3 - Prob. 7ECh. A.3 - Prob. 8ECh. A.3 - In exercises1-10, reduce each rational expression...Ch. A.3 - Prob. 10E
Ch. A.3 - Prob. 11ECh. A.3 - Prob. 12ECh. A.3 - Prob. 13ECh. A.3 - Prob. 14ECh. A.3 - Prob. 15ECh. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - Prob. 24ECh. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - Prob. 31ECh. A.3 - Prob. 32ECh. A.3 - Prob. 33ECh. A.3 - Prob. 34ECh. A.3 - Prob. 35ECh. A.3 - Prob. 36ECh. A.3 - Prob. 37ECh. A.3 - Prob. 38ECh. A.3 - Prob. 39ECh. A.3 - Prob. 40ECh. A.3 - Prob. 41ECh. A.3 - Prob. 42ECh. A.3 - Prob. 43ECh. A.3 - Prob. 44ECh. A.3 - Prob. 45ECh. A.3 - Prob. 46ECh. A.3 - In Exercises 37-52, perform the indicated...Ch. A.3 - Prob. 48ECh. A.3 - Prob. 49ECh. A.3 - Prob. 50ECh. A.3 - Prob. 51ECh. A.3 - Prob. 52ECh. A.3 - Prob. 53ECh. A.3 - Prob. 54ECh. A.3 - In Exercises 53-66; perform the indicated...Ch. A.3 - In Exercises 53-66; perform the indicated...Ch. A.3 - Prob. 57ECh. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 - Prob. 66ECh. A.3 - Prob. 67ECh. A.3 - Toy box height. The height (in feet) of an open...Ch. A.3 - Diluting a mixture. A 100-gallon mixture of citrus...Ch. A.3 - Prob. 70ECh. A.3 - Prob. 71ECh. A.3 - Prob. 72E
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- 16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d) log x + log(x - 21) = 2 (e) 3 = 14 (f) 2x+1 = 51-2xarrow_forward11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_forwardpractice problem please help!arrow_forward
- 13. A restaurant will serve a banquet at a cost of $20 per person for the first 50 people and $15 for person for each additional person. (a) Find a function C giving the cost of the banquet depending on the number of people p attending. (b) How many people can attend the banquet for $2000?arrow_forwardAlt Fn Ctrl 12. Find functions f and g such that h(x) = (fog)(x). (a) h(x) = (x² + 2)² x+1 (b) h(x) = 5 3arrow_forward15. Find the exact value. (a) log4 16 (b) log7 1 49 (c) logs 3/25arrow_forward
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