Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)
11th Edition
ISBN: 9780133886849
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 13.1, Problem 49E
To determine
The all values of
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3.17 (B). A simply supported beam has a span of 6 m and carries a distributed load
which varies in a linea manner from 30 kN/m at one support to 90 kN/m at the
other support. Locate the point of maximum bendin moment and calculate the value
of this maximum. Sketch the S.F. and B.M. diagrams. [U.L.] [3.25 m from l.h. end;
272 KN m
30.
90
3.11 (B). A beam, 12 m long, is to be simply supported at 2m from each end and to
carry a U.d.l of 30kN/m together with a 30 KN point load at the right-hand end.
For ease of transportation the beam is to be jointed in two places, one joint being
Situated 5 m from the left-hand end. What load (to the nearest KN) must be
applied to the left-hand end to ensure that there is no B.M. at the joint (i.e. the
joint is to be a point of contraflexure)? What will then be the best position on the
beam for the other joint? Determine the position and magnitude of the maximum
B.M. present on the beam. [114 KN, 1.6 m from r.h. reaction; 4.7 m from 1.h. reaction;
43.35 KN m.]
2. Using vector algebraic operations, if
-
Ả = 2ây – mây – C
-
B = mây tây – 2,
C = ây + mây + 20,
D = m x + mây tậ
Z
Find the value(s) of m such that (a) Ả is
perpendicular to B (b) B is parallel to C
Chapter 13 Solutions
Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)
Ch. 13.1 - (a) Convert 210° to radians. (b) Convert 3π/4...Ch. 13.1 - Find the values of the six trigonometric functions...Ch. 13.1 - Prob. 3YTCh. 13.1 - Prob. 4YTCh. 13.1 - Find all values of θ between 0 and 2π that satisfy...Ch. 13.1 - Convert the following degree measures to radians....Ch. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Convert the following degree measures to radians....Ch. 13.1 - Prob. 5E
Ch. 13.1 - Prob. 6ECh. 13.1 - Convert the following degree measures to radians....Ch. 13.1 - Prob. 8ECh. 13.1 - Convert the following radian measures to...Ch. 13.1 - Prob. 10ECh. 13.1 - Convert the following radian measures to...Ch. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Prob. 16ECh. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - For Exercises 25–32, complete the following table....Ch. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - Prob. 37ECh. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - Prob. 40ECh. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - Prob. 43ECh. 13.1 - Prob. 44ECh. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - Find all values of θ between 0 and 2π that satisfy...Ch. 13.1 - Prob. 50ECh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - Find all values of θ between 0 and 2π that satisfy...Ch. 13.1 - Prob. 55ECh. 13.1 - Prob. 56ECh. 13.1 - Prob. 57ECh. 13.1 - Use a calculator to find the following function...Ch. 13.1 - Prob. 59ECh. 13.1 - Prob. 60ECh. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - Find the amplitude (a) and period (T) of each...Ch. 13.1 - Prob. 65ECh. 13.1 - Prob. 66ECh. 13.1 - Prob. 67ECh. 13.1 - Prob. 68ECh. 13.1 - Prob. 69ECh. 13.1 - Prob. 70ECh. 13.1 - Prob. 71ECh. 13.1 - Prob. 72ECh. 13.1 - Prob. 73ECh. 13.1 - Prob. 74ECh. 13.1 - Prob. 75ECh. 13.1 - Prob. 76ECh. 13.1 - Prob. 77ECh. 13.1 - Prob. 78ECh. 13.1 - Transylvania Hypothesis The “Transylvania...Ch. 13.1 - Prob. 80ECh. 13.1 - Prob. 81ECh. 13.1 - Prob. 82ECh. 13.1 - Prob. 83ECh. 13.1 - Prob. 84ECh. 13.1 - Prob. 85ECh. 13.1 - Prob. 86ECh. 13.1 - Prob. 87ECh. 13.1 - Prob. 88ECh. 13.1 - Prob. 89ECh. 13.1 - Prob. 90ECh. 13.1 - Prob. 91ECh. 13.1 - Prob. 92ECh. 13.1 - Prob. 93ECh. 13.1 - Prob. 94ECh. 13.1 - Prob. 95ECh. 13.1 - Prob. 96ECh. 13.1 - Prob. 97ECh. 13.2 - Find the derivative of y = 5 sin(3x4).
Ch. 13.2 - Prob. 2YTCh. 13.2 - Prob. 3YTCh. 13.2 - Prob. 4YTCh. 13.2 - Prob. 5YTCh. 13.2 - Prob. 6YTCh. 13.2 - Prob. 1WECh. 13.2 - Prob. 2WECh. 13.2 - Prob. 3WECh. 13.2 - Find the derivatives of the following functions.
Ch. 13.2 - Find the derivatives of the following functions.
y...Ch. 13.2 - Prob. 1ECh. 13.2 - Find the derivatives of the functions defined as...Ch. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Find the derivatives of the functions defined as...Ch. 13.2 - Find the derivatives of the functions defined as...Ch. 13.2 - Find the derivatives of the functions defined as...Ch. 13.2 - Prob. 8ECh. 13.2 - Prob. 9ECh. 13.2 - Prob. 10ECh. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Find the derivatives of the functions defined as...Ch. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Find the derivatives of the functions defined as...Ch. 13.2 - Prob. 18ECh. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Find the derivatives of the functions defined as...Ch. 13.2 - Prob. 24ECh. 13.2 - Prob. 25ECh. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - In Exercises 27-32, recall that the slope of the...Ch. 13.2 - Prob. 30ECh. 13.2 - In Exercises 27-32, recall that the slope of the...Ch. 13.2 - Prob. 32ECh. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - Prob. 35ECh. 13.2 - Prob. 36ECh. 13.2 - Prob. 37ECh. 13.2 - Prob. 38ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Prob. 41ECh. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - Prob. 44ECh. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.2 - Prob. 47ECh. 13.2 - Prob. 48ECh. 13.2 - Prob. 49ECh. 13.2 - Prob. 50ECh. 13.2 - Prob. 51ECh. 13.2 - Prob. 52ECh. 13.2 - Prob. 53ECh. 13.2 - Assume x and y are functions of t. Evaluate dy/dt...Ch. 13.2 - Prob. 55ECh. 13.2 - Prob. 56ECh. 13.2 - Prob. 57ECh. 13.2 - Prob. 58ECh. 13.2 - Prob. 59ECh. 13.2 - Prob. 60ECh. 13.2 - Prob. 61ECh. 13.2 - Prob. 62ECh. 13.2 - Prob. 63ECh. 13.2 - Prob. 64ECh. 13.2 - Prob. 65ECh. 13.2 - Prob. 66ECh. 13.2 - Prob. 67ECh. 13.2 - Prob. 68ECh. 13.2 - Prob. 69ECh. 13.2 - Prob. 70ECh. 13.2 - Prob. 71ECh. 13.2 - Prob. 72ECh. 13.2 - Prob. 73ECh. 13.3 - Find each integral. (a) sin(x/2)dx (b)...Ch. 13.3 - Prob. 2YTCh. 13.3 - Prob. 3YTCh. 13.3 - Prob. 4YTCh. 13.3 - Prob. 1WECh. 13.3 - Prob. 2WECh. 13.3 - Prob. 3WECh. 13.3 - Prob. 4WECh. 13.3 - Find each integral. cos3xdxCh. 13.3 - Find each integral. sin5xdxCh. 13.3 - Find each integral. (3cosx4sinx)dxCh. 13.3 - Prob. 4ECh. 13.3 - Find each integral. xsinx2dxCh. 13.3 - Find each integral. 2xcosx2dxCh. 13.3 - Find each integral. 3sec23xdxCh. 13.3 - Find each integral. 2csc28xdxCh. 13.3 - Find each integral. sin7xcosxdxCh. 13.3 - Find each integral. sin4xcosxdxCh. 13.3 - Find each integral. 3cosx(sinx)dxCh. 13.3 - Find each integral. cosxsinxdxCh. 13.3 - Find each integral. sinx1+cosxdxCh. 13.3 - Find each integral. cosx1sinxdxCh. 13.3 - Find each integral. 2x7cosx8dxCh. 13.3 - Find each integral. (x+2)4sin(x+2)5dxCh. 13.3 - Find each integral. tan13xdxCh. 13.3 - Prob. 18ECh. 13.3 - Find each integral. x5cotx6dxCh. 13.3 - Prob. 20ECh. 13.3 - Find each integral. exsinexdxCh. 13.3 - Find each integral. extanexdxCh. 13.3 - Find each integral.
Ch. 13.3 - Find each integral.
Ch. 13.3 - Find each integral.
Ch. 13.3 - Find each integral.
Ch. 13.3 - Find each integral.
Ch. 13.3 - Find each integral.
Ch. 13.3 - Find each integral.
Ch. 13.3 - Prob. 30ECh. 13.3 - Prob. 31ECh. 13.3 - Prob. 32ECh. 13.3 - Evaluate each definite integral. Use the...Ch. 13.3 - Prob. 34ECh. 13.3 - Evaluate each definite integral. Use the...Ch. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - Use the definite integral to find the area between...Ch. 13.3 - Find the area between the two curves. (Refer to...Ch. 13.3 - Prob. 42ECh. 13.3 - Find the area between the two curves. (Refer to...Ch. 13.3 - Prob. 44ECh. 13.3 - Sales Sales of snowblowers are seasonal. Suppose...Ch. 13.3 - Prob. 46ECh. 13.3 - Migratory Animals The number of migratory animals...Ch. 13.3 - Prob. 48ECh. 13.3 - Length of Day The following function can be used...Ch. 13.3 - Prob. 50ECh. 13.3 - Prob. 51ECh. 13.3 - Prob. 52ECh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Prob. 40RECh. 13 - Prob. 41RECh. 13 - Prob. 42RECh. 13 - Prob. 43RECh. 13 - Prob. 44RECh. 13 - Prob. 45RECh. 13 - Prob. 46RECh. 13 - Prob. 47RECh. 13 - Prob. 48RECh. 13 - Prob. 49RECh. 13 - Prob. 50RECh. 13 - Prob. 51RECh. 13 - Prob. 52RECh. 13 - Prob. 53RECh. 13 - Prob. 54RECh. 13 - Prob. 55RECh. 13 - Prob. 56RECh. 13 - Prob. 57RECh. 13 - Prob. 58RECh. 13 - Prob. 59RECh. 13 - Prob. 60RECh. 13 - Prob. 61RECh. 13 - Prob. 62RECh. 13 - Prob. 63RECh. 13 - Prob. 64RECh. 13 - Prob. 65RECh. 13 - Prob. 66RECh. 13 - Prob. 67RECh. 13 - Prob. 68RECh. 13 - Prob. 69RECh. 13 - Prob. 70RECh. 13 - Prob. 71RECh. 13 - Prob. 72RECh. 13 - Prob. 73RECh. 13 - Prob. 74RECh. 13 - Prob. 75RECh. 13 - Prob. 76RECh. 13 - Prob. 77RECh. 13 - Prob. 78RECh. 13 - Prob. 79RECh. 13 - Prob. 80RECh. 13 - Prob. 81RECh. 13 - Prob. 82RECh. 13 - Prob. 83RECh. 13 - Prob. 84RECh. 13 - Prob. 85RECh. 13 - Prob. 86RECh. 13 - Prob. 87RECh. 13 - Prob. 88RECh. 13 - Prob. 89RECh. 13 - Prob. 90RECh. 13 - Prob. 91RECh. 13 - Prob. 92RECh. 13 - Prob. 93RECh. 13 - Prob. 94RECh. 13 - Prob. 95RECh. 13 - Prob. 96RECh. 13 - Prob. 97RECh. 13 - Prob. 98RECh. 13 - Prob. 99RECh. 13 - Prob. 100RECh. 13 - Prob. 101RE
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