
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
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Chapter D, Problem 47ES
To determine
To calculate: The value of
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18. Using the method of variation of parameter, a particular solution to y′′ + 16y = 4 sec(4t) isyp(t) = u1(t) cos(4t) + u2(t) sin(4t). Then u2(t) is equal toA. 1 B. t C. ln | sin 4t| D. ln | cos 4t| E. sec(4t)
Question 4. Suppose you need to know an equation of the tangent plane to a
surface S at the point P(2, 1, 3). You don't have an equation for S but you know
that the curves
r1(t) = (2 + 3t, 1 — t², 3 − 4t + t²)
r2(u) = (1 + u², 2u³ − 1, 2u + 1)
both lie on S.
(a) Check that both r₁ and r2 pass through the point P.
1
(b) Give the expression of the 074 in two ways
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⚫ in terms of 32 and 33 using the chain rule
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⚫ in terms of t using the expression of z(t) in the curve r1
(c) Similarly, give the expression of the 22 in two ways
Əz
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⚫ in terms of oz and oz using the chain rule
Əz
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in terms of u using the expression of z(u) in the curve r2
(d) Deduce the partial derivative 32 and 33 at the point P and the equation of
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the tangent plane
Chapter D Solutions
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
Ch. D - Complete.
1.
Ch. D - Prob. 2DECh. D - Prob. 3DECh. D - Prob. 4DECh. D - Prob. 5DECh. D - Prob. 6DECh. D - Prob. 7DECh. D - Prob. 8DECh. D - Prob. 9DECh. D - Prob. 10DE
Ch. D - Prob. 1CCE1Ch. D - Prob. 2CCE1Ch. D - Prob. 3CCE1Ch. D - Prob. 4CCE1Ch. D - Prob. 11DECh. D - Prob. 12DECh. D - Prob. 13DECh. D - Prob. 14DECh. D - Prob. 1ESCh. D - Prob. 2ESCh. D - Prob. 3ESCh. D - Prob. 4ESCh. D - Prob. 5ESCh. D - Prob. 6ESCh. D - Prob. 7ESCh. D - Prob. 8ESCh. D - Prob. 9ESCh. D - Prob. 10ESCh. D - Prob. 11ESCh. D - Prob. 12ESCh. D - Prob. 13ESCh. D - Prob. 14ESCh. D - Prob. 15ESCh. D - a
Complete.
16.
Ch. D - Prob. 17ESCh. D - Prob. 18ESCh. D - Prob. 19ESCh. D - Prob. 20ESCh. D - Prob. 21ESCh. D - Prob. 22ESCh. D - Prob. 23ESCh. D - Prob. 24ESCh. D - Prob. 25ESCh. D - Prob. 26ESCh. D - Prob. 27ESCh. D - Prob. 28ESCh. D - Prob. 29ESCh. D - Prob. 30ESCh. D - Prob. 31ESCh. D - Prob. 32ESCh. D - Prob. 33ESCh. D - Prob. 34ESCh. D - Prob. 35ESCh. D - Prob. 36ESCh. D - Prob. 37ESCh. D - Prob. 38ESCh. D - Prob. 39ESCh. D - Prob. 40ESCh. D - Prob. 41ESCh. D - Prob. 42ESCh. D - Prob. 43ESCh. D - Prob. 44ESCh. D - Prob. 45ESCh. D - Prob. 46ESCh. D - Prob. 47ESCh. D - Prob. 48ESCh. D - Prob. 49ESCh. D - Convert to Celsius. Use the...Ch. D - 51. Highest Temperatures. The highest temperature...Ch. D - Prob. 53ESCh. D - Prob. 54ESCh. D - 55. Estimate the number of years in one billion...
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