Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 5.5, Problem 59PS
a.
To determine
The ozone level 
as a function of 
if
is 
at 
b.
To determine
The time between 
when the highest level of ozone occurs and also determine the highest level.
c.
To determine
A second time during the day when the ozone level is same as it is at 
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Chapter 5 Solutions
Calculus
Ch. 5.1 - Prob. 1PSCh. 5.1 - Prob. 2PSCh. 5.1 - Prob. 3PSCh. 5.1 - Prob. 4PSCh. 5.1 - Prob. 5PSCh. 5.1 - Prob. 6PSCh. 5.1 - Prob. 7PSCh. 5.1 - Prob. 8PSCh. 5.1 - Prob. 9PSCh. 5.1 - Prob. 10PS
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Prob. 1PSCh. 5.2 - Prob. 2PSCh. 5.2 - Prob. 3PSCh. 5.2 - Prob. 4PSCh. 5.2 - Prob. 5PSCh. 5.2 - Prob. 6PSCh. 5.2 - Prob. 7PSCh. 5.2 - Prob. 8PSCh. 5.2 - Prob. 9PSCh. 5.2 - Prob. 10PSCh. 5.2 - Prob. 11PSCh. 5.2 - Prob. 12PSCh. 5.2 - Prob. 13PSCh. 5.2 - Prob. 14PSCh. 5.2 - Prob. 15PSCh. 5.2 - Prob. 16PSCh. 5.2 - Prob. 17PSCh. 5.2 - Prob. 18PSCh. 5.2 - Prob. 19PSCh. 5.2 - Prob. 20PSCh. 5.2 - Prob. 21PSCh. 5.2 - Prob. 22PSCh. 5.2 - Prob. 23PSCh. 5.2 - Prob. 24PSCh. 5.2 - Prob. 25PSCh. 5.2 - Prob. 26PSCh. 5.2 - Prob. 27PSCh. 5.2 - Prob. 28PSCh. 5.2 - Prob. 29PSCh. 5.2 - Prob. 30PSCh. 5.2 - Prob. 31PSCh. 5.2 - Prob. 32PSCh. 5.2 - Prob. 33PSCh. 5.2 - Prob. 34PSCh. 5.2 - Prob. 35PSCh. 5.2 - Prob. 36PSCh. 5.2 - Prob. 37PSCh. 5.2 - Prob. 38PSCh. 5.2 - Prob. 39PSCh. 5.2 - Prob. 40PSCh. 5.2 - Prob. 41PSCh. 5.2 - Prob. 42PSCh. 5.2 - Prob. 43PSCh. 5.2 - Prob. 44PSCh. 5.2 - Prob. 45PSCh. 5.2 - Prob. 46PSCh. 5.2 - Prob. 47PSCh. 5.2 - Prob. 48PSCh. 5.2 - Prob. 49PSCh. 5.2 - Prob. 50PSCh. 5.2 - Prob. 51PSCh. 5.2 - 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Prob. 16PSCh. 5.6 - Prob. 17PSCh. 5.6 - Prob. 18PSCh. 5.6 - Prob. 19PSCh. 5.6 - Prob. 20PSCh. 5.6 - Prob. 21PSCh. 5.6 - Prob. 22PSCh. 5.6 - Prob. 23PSCh. 5.6 - Prob. 24PSCh. 5.6 - Prob. 25PSCh. 5.6 - Prob. 26PSCh. 5.6 - Prob. 27PSCh. 5.6 - Prob. 28PSCh. 5.6 - Prob. 29PSCh. 5.6 - Prob. 30PSCh. 5.6 - Prob. 31PSCh. 5.6 - Prob. 32PSCh. 5.6 - Prob. 33PSCh. 5.6 - Prob. 34PSCh. 5.6 - Prob. 35PSCh. 5.6 - Prob. 36PSCh. 5.6 - Prob. 37PSCh. 5.6 - Prob. 38PSCh. 5.6 - Prob. 39PSCh. 5.6 - Prob. 40PSCh. 5.6 - Prob. 41PSCh. 5.6 - Prob. 42PSCh. 5.6 - Prob. 43PSCh. 5.6 - Prob. 44PSCh. 5.6 - Prob. 45PSCh. 5.6 - Prob. 46PSCh. 5.6 - Prob. 47PSCh. 5.6 - Prob. 48PSCh. 5.6 - Prob. 49PSCh. 5.6 - Prob. 50PSCh. 5.6 - Prob. 51PSCh. 5.6 - Prob. 52PSCh. 5.6 - Prob. 53PSCh. 5.6 - Prob. 54PSCh. 5.6 - Prob. 55PSCh. 5.6 - Prob. 56PSCh. 5.6 - Prob. 57PSCh. 5.6 - Prob. 58PSCh. 5.6 - Prob. 59PSCh. 5.6 - Prob. 60PSCh. 5.7 - Prob. 1PSCh. 5.7 - Prob. 2PSCh. 5.7 - Prob. 3PSCh. 5.7 - Prob. 4PSCh. 5.7 - Prob. 5PSCh. 5.7 - Prob. 6PSCh. 5.7 - Prob. 7PSCh. 5.7 - Prob. 8PSCh. 5.7 - Prob. 9PSCh. 5.7 - Prob. 10PSCh. 5.7 - Prob. 11PSCh. 5.7 - Prob. 12PSCh. 5.7 - Prob. 13PSCh. 5.7 - Prob. 14PSCh. 5.7 - Prob. 15PSCh. 5.7 - Prob. 16PSCh. 5.7 - Prob. 17PSCh. 5.7 - Prob. 18PSCh. 5.7 - Prob. 19PSCh. 5.7 - Prob. 20PSCh. 5.7 - Prob. 21PSCh. 5.7 - Prob. 22PSCh. 5.7 - Prob. 23PSCh. 5.7 - Prob. 24PSCh. 5.7 - Prob. 25PSCh. 5.7 - Prob. 26PSCh. 5.7 - Prob. 27PSCh. 5.7 - Prob. 28PSCh. 5.7 - Prob. 29PSCh. 5.7 - Prob. 30PSCh. 5.7 - Prob. 31PSCh. 5.7 - Prob. 32PSCh. 5.7 - Prob. 33PSCh. 5.7 - Prob. 34PSCh. 5.7 - Prob. 35PSCh. 5.7 - Prob. 36PSCh. 5.7 - Prob. 37PSCh. 5.7 - Prob. 38PSCh. 5.7 - Prob. 39PSCh. 5.7 - Prob. 40PSCh. 5.7 - Prob. 41PSCh. 5.7 - Prob. 42PSCh. 5.7 - Prob. 43PSCh. 5.7 - Prob. 44PSCh. 5.7 - Prob. 45PSCh. 5.7 - Prob. 46PSCh. 5.7 - Prob. 47PSCh. 5.7 - Prob. 48PSCh. 5.7 - Prob. 49PSCh. 5.7 - Prob. 50PSCh. 5.7 - Prob. 51PSCh. 5.7 - Prob. 52PSCh. 5.7 - Prob. 53PSCh. 5.7 - Prob. 54PSCh. 5.7 - Prob. 55PSCh. 5.7 - Prob. 56PSCh. 5.7 - Prob. 57PSCh. 5.7 - Prob. 58PSCh. 5.7 - Prob. 59PSCh. 5.7 - Prob. 60PSCh. 5.8 - Prob. 1PSCh. 5.8 - Prob. 2PSCh. 5.8 - Prob. 3PSCh. 5.8 - Prob. 4PSCh. 5.8 - Prob. 5PSCh. 5.8 - Prob. 6PSCh. 5.8 - Prob. 7PSCh. 5.8 - Prob. 8PSCh. 5.8 - Prob. 9PSCh. 5.8 - Prob. 10PSCh. 5.8 - Prob. 11PSCh. 5.8 - Prob. 12PSCh. 5.8 - Prob. 13PSCh. 5.8 - Prob. 14PSCh. 5.8 - Prob. 15PSCh. 5.8 - Prob. 16PSCh. 5.8 - Prob. 17PSCh. 5.8 - Prob. 18PSCh. 5.8 - Prob. 19PSCh. 5.8 - Prob. 20PSCh. 5.8 - Prob. 21PSCh. 5.8 - Prob. 22PSCh. 5.8 - Prob. 23PSCh. 5.8 - Prob. 24PSCh. 5.8 - Prob. 25PSCh. 5.8 - Prob. 26PSCh. 5.8 - Prob. 27PSCh. 5.8 - Prob. 28PSCh. 5.8 - Prob. 29PSCh. 5.8 - Prob. 30PSCh. 5.8 - Prob. 31PSCh. 5.8 - Prob. 32PSCh. 5.8 - Prob. 33PSCh. 5.8 - Prob. 34PSCh. 5.8 - Prob. 35PSCh. 5.8 - Prob. 36PSCh. 5.8 - Prob. 37PSCh. 5.8 - Prob. 38PSCh. 5.8 - Prob. 39PSCh. 5.8 - Prob. 40PSCh. 5.8 - Prob. 41PSCh. 5.8 - Prob. 42PSCh. 5.8 - Prob. 43PSCh. 5.8 - Prob. 44PSCh. 5.8 - Prob. 45PSCh. 5.8 - Prob. 46PSCh. 5.8 - Prob. 47PSCh. 5.8 - Prob. 48PSCh. 5.8 - 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- Q4. We want to invest $18000 in an account compounded continuously. How long should the investment be kept so final value of the account reaches $25000 if the annual rate of interest is 5.8%?arrow_forwardQ3. Determine the effective annual yield for each investment below. Then select the better investment. Assume 365 days in a year. a) 5.6% compounded semiannually; b) 5.4% compounded daily.arrow_forwardQ2. You deposit $22,000 in an account that pays 4.8% interest compounded monthly. a. Find the future value after six years. & b b. Determine the effective annual yield of this account.arrow_forward
- 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)arrow_forwardQuestion 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 Ət ⚫ in terms of 32 and 33 using the chain rule მყ ⚫ 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 ди ⚫ in terms of oz and oz using the chain rule Əz მყ • 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 მე მყ the tangent planearrow_forwardCoast Guard Patrol Search Mission The pilot of a Coast Guard patrol aircraft on a search mission had just spotted a disabled fishing trawler and decided to go in for a closer look. Flying in a straight line at a constant altitude of 1000 ft and at a steady speed of 256 ft/s, the aircraft passed directly over the trawler. How fast (in ft/s) was the aircraft receding from the trawler when it was 1400 ft from the trawler? (Round your answer to one decimal places.) 1000 ft 180 × ft/s Need Help? Read It SUBMIT ANSWERarrow_forward
- 6. The largest interval in which the solution of (cos t)y′′ +t^2y′ − (5/t)y = e^t/(t−3) , y(1) = 2, y′(1) = 0is guaranteed to exist by the Existence and Uniqueness Theorem is:A. (0, ∞) B. (π/2, 3) C. (0,π/2) D. (0, π) E. (0, 3)arrow_forward12. For the differential equation in the previous question, what is the correct form for a particularsolution?A. yp = Ae^t + Bt^2 B. yp = Ae^t + Bt^2 + Ct + DC. yp = Ate^t + Bt^2 D. yp = Ate^t + Bt^2 + Ct + D Previous differential equation y′′ − 4y′ + 3y = e^t + t^2arrow_forward16. The appropriate form for the particular solution yp(x) of y^(3) − y′′ − 2y′ = x^2 + e^2x isA. yp(x) = Ax^2 + Bx + C + De^2x B. yp(x) = Ax^3 + Bx^2 + Cx + Dxe^2xC. yp(x) = Ax^2 +Be^2x D. yp(x) = A+Be^2x +Ce^−x E. yp(x) = Ax^2 +Bx+C +(Dx+E)e^2xarrow_forward
- Distance Between Two Ships Two ships leave the same port at noon. Ship A sails north at 17 mph, and ship B sails east at 11 mph. How fast is the distance between them changing at 1 p.m.? (Round your answer to one decimal place.) 20.3 X mph Need Help? Read It Watch It SUBMIT ANSWERarrow_forwardpractice problem please help!arrow_forwardFind the first and second derivatives of the function. f(u) = √7 3u − 3 f'(u) 2 (7-34) (½) f"(u) = 9 4(7-3u) 32 X Need Help? Read It Watch It SUBMIT ANSWERarrow_forward
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