Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 2.2, Problem 40PS
To determine
To compute the one-sided limit or use one-sided limits to find the given limit, if it exists.
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u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (ū+v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u. (vxw)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
Question 3 (6 points)
u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (u + v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅ w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u (v × w)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
K
Find all values x = a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the
limit doesn't exist.
x-7
p(x) =
X-7
Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
(Use a comma to separate answers as needed.)
OA. f is discontinuous at the single value x =
OB. f is discontinuous at the single value x=
OC. f is discontinuous at the two values x =
OD. f is discontinuous at the two values x =
The limit is
The limit does not exist and is not co or - ∞.
The limit for the smaller value is
The limit for the larger value is
The limit for the smaller value is
The limit for the larger value does not exist and is not c∞ or -
Chapter 2 Solutions
Calculus
Ch. 2.1 - Prob. 1PSCh. 2.1 - Prob. 2PSCh. 2.1 - Prob. 3PSCh. 2.1 - Prob. 4PSCh. 2.1 - Prob. 5PSCh. 2.1 - Prob. 6PSCh. 2.1 - Prob. 7PSCh. 2.1 - Prob. 8PSCh. 2.1 - Prob. 9PSCh. 2.1 - Prob. 10PS
Ch. 2.1 - Prob. 11PSCh. 2.1 - Prob. 12PSCh. 2.1 - Prob. 13PSCh. 2.1 - Prob. 14PSCh. 2.1 - Prob. 15PSCh. 2.1 - Prob. 16PSCh. 2.1 - Prob. 17PSCh. 2.1 - Prob. 18PSCh. 2.1 - Prob. 19PSCh. 2.1 - Prob. 20PSCh. 2.1 - Prob. 21PSCh. 2.1 - Prob. 22PSCh. 2.1 - Prob. 23PSCh. 2.1 - Prob. 24PSCh. 2.1 - Prob. 25PSCh. 2.1 - Prob. 26PSCh. 2.1 - Prob. 27PSCh. 2.1 - Prob. 28PSCh. 2.1 - Prob. 29PSCh. 2.1 - Prob. 30PSCh. 2.1 - Prob. 31PSCh. 2.1 - Prob. 32PSCh. 2.1 - Prob. 33PSCh. 2.1 - Prob. 34PSCh. 2.1 - Prob. 35PSCh. 2.1 - Prob. 36PSCh. 2.1 - Prob. 37PSCh. 2.1 - Prob. 38PSCh. 2.1 - Prob. 39PSCh. 2.1 - Prob. 40PSCh. 2.1 - Prob. 41PSCh. 2.1 - Prob. 42PSCh. 2.1 - Prob. 43PSCh. 2.1 - Prob. 44PSCh. 2.1 - Prob. 45PSCh. 2.1 - Prob. 46PSCh. 2.1 - Prob. 47PSCh. 2.1 - Prob. 48PSCh. 2.1 - Prob. 49PSCh. 2.1 - Prob. 50PSCh. 2.1 - Prob. 51PSCh. 2.1 - Prob. 52PSCh. 2.1 - Prob. 53PSCh. 2.1 - Prob. 54PSCh. 2.1 - Prob. 55PSCh. 2.1 - Prob. 56PSCh. 2.1 - Prob. 57PSCh. 2.1 - Prob. 58PSCh. 2.1 - Prob. 59PSCh. 2.1 - Prob. 60PSCh. 2.2 - Prob. 1PSCh. 2.2 - Prob. 2PSCh. 2.2 - Prob. 3PSCh. 2.2 - Prob. 4PSCh. 2.2 - Prob. 5PSCh. 2.2 - Prob. 6PSCh. 2.2 - Prob. 7PSCh. 2.2 - Prob. 8PSCh. 2.2 - Prob. 9PSCh. 2.2 - Prob. 10PSCh. 2.2 - Prob. 11PSCh. 2.2 - Prob. 12PSCh. 2.2 - Prob. 13PSCh. 2.2 - Prob. 14PSCh. 2.2 - Prob. 15PSCh. 2.2 - Prob. 16PSCh. 2.2 - Prob. 17PSCh. 2.2 - Prob. 18PSCh. 2.2 - Prob. 19PSCh. 2.2 - Prob. 20PSCh. 2.2 - Prob. 21PSCh. 2.2 - Prob. 22PSCh. 2.2 - Prob. 23PSCh. 2.2 - Prob. 24PSCh. 2.2 - Prob. 25PSCh. 2.2 - Prob. 26PSCh. 2.2 - Prob. 27PSCh. 2.2 - Prob. 28PSCh. 2.2 - Prob. 29PSCh. 2.2 - Prob. 30PSCh. 2.2 - Prob. 31PSCh. 2.2 - Prob. 32PSCh. 2.2 - Prob. 33PSCh. 2.2 - Prob. 34PSCh. 2.2 - Prob. 35PSCh. 2.2 - Prob. 36PSCh. 2.2 - Prob. 37PSCh. 2.2 - Prob. 38PSCh. 2.2 - Prob. 39PSCh. 2.2 - Prob. 40PSCh. 2.2 - Prob. 41PSCh. 2.2 - Prob. 42PSCh. 2.2 - Prob. 43PSCh. 2.2 - Prob. 44PSCh. 2.2 - Prob. 45PSCh. 2.2 - Prob. 46PSCh. 2.2 - Prob. 47PSCh. 2.2 - Prob. 48PSCh. 2.2 - Prob. 49PSCh. 2.2 - Prob. 50PSCh. 2.2 - Prob. 51PSCh. 2.2 - Prob. 52PSCh. 2.2 - Prob. 53PSCh. 2.2 - Prob. 54PSCh. 2.2 - Prob. 55PSCh. 2.2 - Prob. 56PSCh. 2.2 - Prob. 57PSCh. 2.2 - Prob. 58PSCh. 2.2 - Prob. 59PSCh. 2.2 - Prob. 60PSCh. 2.3 - Prob. 1PSCh. 2.3 - Prob. 2PSCh. 2.3 - Prob. 3PSCh. 2.3 - Prob. 4PSCh. 2.3 - Prob. 5PSCh. 2.3 - Prob. 6PSCh. 2.3 - Prob. 7PSCh. 2.3 - Prob. 8PSCh. 2.3 - Prob. 9PSCh. 2.3 - Prob. 10PSCh. 2.3 - Prob. 11PSCh. 2.3 - Prob. 12PSCh. 2.3 - Prob. 13PSCh. 2.3 - Prob. 14PSCh. 2.3 - Prob. 15PSCh. 2.3 - Prob. 16PSCh. 2.3 - Prob. 17PSCh. 2.3 - Prob. 18PSCh. 2.3 - Prob. 19PSCh. 2.3 - Prob. 20PSCh. 2.3 - Prob. 21PSCh. 2.3 - Prob. 22PSCh. 2.3 - Prob. 23PSCh. 2.3 - Prob. 24PSCh. 2.3 - Prob. 25PSCh. 2.3 - Prob. 26PSCh. 2.3 - Prob. 27PSCh. 2.3 - Prob. 28PSCh. 2.3 - Prob. 29PSCh. 2.3 - Prob. 30PSCh. 2.3 - Prob. 31PSCh. 2.3 - Prob. 32PSCh. 2.3 - Prob. 33PSCh. 2.3 - Prob. 34PSCh. 2.3 - Prob. 35PSCh. 2.3 - Prob. 36PSCh. 2.3 - Prob. 37PSCh. 2.3 - Prob. 38PSCh. 2.3 - Prob. 39PSCh. 2.3 - Prob. 40PSCh. 2.3 - Prob. 41PSCh. 2.3 - Prob. 42PSCh. 2.3 - Prob. 43PSCh. 2.3 - Prob. 44PSCh. 2.3 - Prob. 45PSCh. 2.3 - Prob. 46PSCh. 2.3 - Prob. 47PSCh. 2.3 - Prob. 48PSCh. 2.3 - Prob. 49PSCh. 2.3 - Prob. 50PSCh. 2.3 - Prob. 51PSCh. 2.3 - Prob. 52PSCh. 2.3 - Prob. 53PSCh. 2.3 - Prob. 54PSCh. 2.3 - Prob. 56PSCh. 2.3 - Prob. 57PSCh. 2.3 - Prob. 58PSCh. 2.3 - Prob. 59PSCh. 2.3 - Prob. 60PSCh. 2.4 - Prob. 1PSCh. 2.4 - Prob. 2PSCh. 2.4 - Prob. 3PSCh. 2.4 - Prob. 4PSCh. 2.4 - Prob. 5PSCh. 2.4 - Prob. 6PSCh. 2.4 - Prob. 7PSCh. 2.4 - Prob. 8PSCh. 2.4 - Prob. 9PSCh. 2.4 - Prob. 10PSCh. 2.4 - Prob. 11PSCh. 2.4 - Prob. 12PSCh. 2.4 - Prob. 13PSCh. 2.4 - Prob. 14PSCh. 2.4 - Prob. 15PSCh. 2.4 - Prob. 16PSCh. 2.4 - Prob. 17PSCh. 2.4 - Prob. 18PSCh. 2.4 - Prob. 19PSCh. 2.4 - Prob. 20PSCh. 2.4 - Prob. 21PSCh. 2.4 - Prob. 22PSCh. 2.4 - Prob. 23PSCh. 2.4 - Prob. 24PSCh. 2.4 - Prob. 25PSCh. 2.4 - Prob. 26PSCh. 2.4 - Prob. 27PSCh. 2.4 - Prob. 28PSCh. 2.4 - Prob. 29PSCh. 2.4 - Prob. 30PSCh. 2.4 - Prob. 31PSCh. 2.4 - Prob. 32PSCh. 2.4 - Prob. 33PSCh. 2.4 - Prob. 34PSCh. 2.4 - Prob. 35PSCh. 2.4 - Prob. 36PSCh. 2.4 - Prob. 37PSCh. 2.4 - Prob. 38PSCh. 2.4 - Prob. 39PSCh. 2.4 - Prob. 40PSCh. 2.4 - Prob. 41PSCh. 2.4 - Prob. 42PSCh. 2.4 - Prob. 43PSCh. 2.4 - Prob. 44PSCh. 2.4 - Prob. 45PSCh. 2.4 - Prob. 46PSCh. 2.4 - Prob. 47PSCh. 2.4 - Prob. 48PSCh. 2.4 - Prob. 49PSCh. 2.4 - Prob. 50PSCh. 2.4 - Prob. 51PSCh. 2.4 - Prob. 52PSCh. 2.4 - Prob. 53PSCh. 2.4 - Prob. 54PSCh. 2.4 - Prob. 55PSCh. 2.4 - Prob. 56PSCh. 2.4 - Prob. 57PSCh. 2.4 - Prob. 58PSCh. 2.4 - Prob. 59PSCh. 2.4 - Prob. 60PSCh. 2 - Prob. 1PECh. 2 - Prob. 2PECh. 2 - Prob. 3PECh. 2 - Prob. 4PECh. 2 - Prob. 5PECh. 2 - Prob. 6PECh. 2 - Prob. 7PECh. 2 - Prob. 8PECh. 2 - Prob. 9PECh. 2 - Prob. 10PECh. 2 - Prob. 11PECh. 2 - Prob. 12PECh. 2 - Prob. 13PECh. 2 - Prob. 14PECh. 2 - Prob. 15PECh. 2 - Prob. 16PECh. 2 - Prob. 17PECh. 2 - Prob. 18PECh. 2 - Prob. 19PECh. 2 - Prob. 20PECh. 2 - Prob. 21PECh. 2 - Prob. 22PECh. 2 - Prob. 23PECh. 2 - Prob. 24PECh. 2 - Prob. 25PECh. 2 - Prob. 26PECh. 2 - Prob. 27PECh. 2 - Prob. 28PECh. 2 - Prob. 29PECh. 2 - Prob. 30PECh. 2 - Prob. 1SPCh. 2 - Prob. 2SPCh. 2 - Prob. 3SPCh. 2 - Prob. 4SPCh. 2 - Prob. 5SPCh. 2 - Prob. 6SPCh. 2 - Prob. 7SPCh. 2 - Prob. 8SPCh. 2 - Prob. 9SPCh. 2 - Prob. 10SPCh. 2 - Prob. 11SPCh. 2 - Prob. 12SPCh. 2 - Prob. 13SPCh. 2 - Prob. 14SPCh. 2 - Prob. 15SPCh. 2 - Prob. 16SPCh. 2 - Prob. 17SPCh. 2 - Prob. 18SPCh. 2 - Prob. 19SPCh. 2 - Prob. 20SPCh. 2 - Prob. 21SPCh. 2 - Prob. 22SPCh. 2 - Prob. 23SPCh. 2 - Prob. 24SPCh. 2 - Prob. 25SPCh. 2 - Prob. 26SPCh. 2 - Prob. 27SPCh. 2 - Prob. 28SPCh. 2 - Prob. 29SPCh. 2 - Prob. 30SPCh. 2 - Prob. 31SPCh. 2 - Prob. 32SPCh. 2 - Prob. 33SPCh. 2 - Prob. 34SPCh. 2 - Prob. 35SPCh. 2 - Prob. 36SPCh. 2 - Prob. 37SPCh. 2 - Prob. 38SPCh. 2 - Prob. 39SPCh. 2 - Prob. 40SPCh. 2 - Prob. 41SPCh. 2 - Prob. 42SPCh. 2 - Prob. 43SPCh. 2 - Prob. 44SPCh. 2 - Prob. 45SPCh. 2 - Prob. 46SPCh. 2 - Prob. 47SPCh. 2 - Prob. 48SPCh. 2 - Prob. 49SPCh. 2 - Prob. 50SPCh. 2 - Prob. 51SPCh. 2 - Prob. 52SPCh. 2 - Prob. 53SPCh. 2 - Prob. 54SPCh. 2 - Prob. 55SPCh. 2 - Prob. 56SPCh. 2 - Prob. 57SPCh. 2 - Prob. 58SPCh. 2 - Prob. 59SPCh. 2 - Prob. 60SPCh. 2 - Prob. 61SPCh. 2 - Prob. 62SPCh. 2 - Prob. 63SPCh. 2 - Prob. 64SPCh. 2 - Prob. 65SPCh. 2 - Prob. 66SPCh. 2 - Prob. 67SPCh. 2 - Prob. 68SPCh. 2 - Prob. 69SPCh. 2 - Prob. 70SPCh. 2 - Prob. 71SPCh. 2 - Prob. 72SPCh. 2 - Prob. 73SPCh. 2 - Prob. 74SPCh. 2 - Prob. 75SPCh. 2 - Prob. 76SPCh. 2 - Prob. 77SPCh. 2 - Prob. 78SPCh. 2 - Prob. 79SPCh. 2 - Prob. 80SPCh. 2 - Prob. 81SPCh. 2 - Prob. 82SPCh. 2 - Prob. 83SPCh. 2 - Prob. 84SPCh. 2 - Prob. 85SPCh. 2 - Prob. 86SPCh. 2 - Prob. 87SPCh. 2 - Prob. 88SPCh. 2 - Prob. 89SPCh. 2 - Prob. 90SPCh. 2 - Prob. 91SPCh. 2 - Prob. 92SPCh. 2 - Prob. 93SPCh. 2 - Prob. 94SPCh. 2 - Prob. 95SPCh. 2 - Prob. 96SPCh. 2 - Prob. 97SPCh. 2 - Prob. 98SPCh. 2 - Prob. 99SP
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