Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 891484: If y = tan^-1(x/a)
So y'=a/(x^2+a^2) [by differentiating]
Y'=a/(x-ia)(x+ia) why does it become like this and where does the i comes from?
Sir, this question is from calculus (examples of finding nth derivative so please help me.)
Click here to see answer by Fombitz(32388)   |
Question 892642: The population of a certain species of fish has a relative growth rate of 1.2% per year. It is estimated that the population in 2000 was 10million.
a. Find an exponential model N(t)=N e^rt for the population after 2000
b. Estimate the fish population in the year 2007
c. After how year will the fish population reach 13 million
Click here to see answer by stanbon(75887) |
Question 892484: solve 16^ d-4= 3^3-d
solve 9^x=45
2. The formula p= P(base is 0) (1/2)^h/4795 , is the atmospheric pressure, P, in mm of mercury at elevation “h” meters above sea level. If P0 is 760 mm, at what elevation is the pressure 42 mm?
2. The following equation models the world population “y”, in billions of people, “x” years after the year 2000.
y=6.72(1.014)^xo
In what year did the population reach about 8 billion?
I get so lost can you show step by step for number 2 i know you sub. 200 where X But after i get lost
Click here to see answer by Fombitz(32388) |
Question 894072: Suppose that a wave forms in shallow water. The depth "d" of the water (in feet) and the velocity (v) of the wave (in feet per second) are related by the equation v = sqrt 32d. If a wave forms in water with a depth of 8.5 feet, what is its velocity?
Round your answer to the nearest tenth.
That's the best that I can type this question.
I hope that I asked it in the appropriate section.
Please help me. Thank you. :)
Screenshot of actual question: http://gyazo.com/ddd04a39a26c7f1b16e55e16ba80f524
Click here to see answer by Theo(13342)  |
Question 894150: if a graph is created showing ln z against t for this : z= 2e^(4t) - what is the gradient, and how do I work it out - I am struggling with understanding a text book. Please note this is not the actual problem I need to solve - it is similar - I need to understand how to do this type of question.
I have tried to follow the text and thought the gradient was equal to the power when I multiply by base e and reverse the order etc then use the line equation y=mx+c. Please can you help.
Click here to see answer by Fombitz(32388) |
Question 895258: How do I solve these two logarithms.
I have the problems
5 ^x-1/3 = power 3 square root of 5 (the 3 is small and on top of the square root)
and
log (base 4) (x-2) + log (base 4) (x+1) =1
I would like some help with the steps that I could go about solving these logs
thank you
Click here to see answer by josgarithmetic(39620) |
Question 895258: How do I solve these two logarithms.
I have the problems
5 ^x-1/3 = power 3 square root of 5 (the 3 is small and on top of the square root)
and
log (base 4) (x-2) + log (base 4) (x+1) =1
I would like some help with the steps that I could go about solving these logs
thank you
Click here to see answer by MathTherapy(10552)  |
Question 895794: A radio-active element decays exponentially and the expression is given by :
x(t)=(1/4)^(t/1024)
where x(t) is the amount of radio-active element decayed as a function of time
(time is in years).
If the amount left is 0.00135, how long did it take to decay?
I got the answer as 1. Am I correct?
Click here to see answer by Alan3354(69443)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910
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