Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65 15.40 Date Jul 16 Aug 16 Sep 16 Oct 16 Nov 16 Dec 16 Hours light 15.10 13.90 12.30 10.71 9.30 8.60 a. Find the equation of the first derivative of D(x) b. Find the equation of the second derivative of D"(x)

Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65 15.40 Date Jul 16 Aug 16 Sep 16 Oct 16 Nov 16 Dec 16 Hours light 15.10 13.90 12.30 10.71 9.30 8.60 a. Find the equation of the first derivative of D(x) b. Find the equation of the second derivative of D"(x)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find the derivative of the function. f(ss)equals=StartFraction StartRoot s EndRoot minus 3 Over StartRoot s EndRoot plus 5 EndFractions−3s+5 Question content area bottom Part 1 Choose the correct answer below. A.StartFraction 4 Over left parenthesis StartRoot s EndRoot minus 5 right parenthesis squared EndFraction StartFraction 4 Over left parenthesis StartRoot s EndRoot minus 5 right parenthesis squared EndFraction4s−52 B.StartFraction 4 Over StartRoot s EndRoot left parenthesis StartRoot s EndRoot minus 5 right parenthesis squared EndFraction StartFraction 4 Over StartRoot s EndRoot left parenthesis StartRoot s EndRoot minus 5 right parenthesis squared EndFraction4ss−52 C.StartFraction 4 Over StartRoot s EndRoot left parenthesis StartRoot s EndRoot plus 5 right parenthesis squared EndFraction StartFraction 4 Over StartRoot s EndRoot left parenthesis StartRoot s EndRoot plus 5 right parenthesis squared EndFraction4ss+52…
Tanya is driving east at 100km/h and Eva is driving north at 80km/h. Both cars are approaching the intersection of the two roads. The distance between the two cars is decreasing at a rate of ___km/h when tansy’s car is 6km from the intersection and Eva’s car is 8km from the intersection. Do not record units with your answer and round to nearest tenth if necessary. Derivative application question!
Shows the derivative function of: e3x+5
What is the value of a derivative that pays off $300 in 6 months if an index is less than 900 and zero otherwise? Assume that the current level of the index is 920, the risk-free rate is 8% per annum, the dividend yield on the index is 3% per annum, and the volatility of the index is 20%. 1. 95.33 2. 68.71 3. There is no correct answer. 4. 41.08 5. 114.39 Give typing answer with explanation and conclusion
4. Find the first and second derivatives of the following tyyy
Write a brief note on the Application of the derivatives and solve the famous hammer and the feather problem in details. Which states that The hammer aod the feather When Apollo 15 astronaut David Scott dropped a hammer and a feather on the moon to demonsttate that in a vacuum all bodies fall with the same (constant) acceleration, he dropped them from about 4 ft above the ground. The television footage of the event shows the hammer and the feather falling more slowly than on Ear1h, where, in a vacuum, they would have talren only half a second to fall the 4 ft. How long did it take the hammer and fea1her to fall 4 ft on the moon? To fmd out, solve the followiog initial value problem for s as a function of t. Then fmd 1he value of t that malres s equal to O.Differential equation: -d^2s/dt^2 = -5.2 ftjsec^2Initial conditions: dt/ds =0 and s=4 when t=0
The quoted futures price corresponds to a forward rate of 8% per annum with quarterly compounding and actual/360. The parameters for Black’s model are therefore:Fk = 0.08, K=0.08, R=0.075, tk=0.75, SDk=0.15and P(0,tk+1)=e-0.075x1=0.9277 . Use these information to estimate the call price.
Inflection point candidates are achieved when the second derivative is 0 , or when the second derivative does not exist . True Or False
4) what is the first and second derivative of the equation W=8z^2 e^z
Daily crude oil production by Pemex, Mexico's national oil company, for 2008–2013 could be approximated by P(t) = 0.017t2 − 0.4t + 5.23 million barrels (8 ≤ t ≤ 13), where t is time in years since the start of 2000.† Find the derivative function dP/dt dP dt = At what rate was oil production changing at the start of 2010 (t = 10)? Daily oil production was decreasing at a rate of million barrels per year.
It is observed that a certain bacteria culture has a relative growth rate of 12% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 22. Find the projected population after 24 hours for the following conditions.(a) No antibiotic is present, so the relative growth rate is 12%.(b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.
the derivative of E(q) is-(q*(q^2-1))^-1. what's its global maximum and global minimum. Thank you!

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Date	Jan 16	Feb 16	Mar 16	Apr 16	May 16	Jun 16
Hours light	8.95	10.18	11.62	13.27	14.65	15.40
Date	Jul 16	Aug 16	Sep 16	Oct 16	Nov 16	Dec 16
Hours light	15.10	13.90	12.30	10.71	9.30	8.60