Mathematics, 17.09.2019 16:30 brittanylrodgers99

How do i differentiate (2ln(t-0.1))/(39.95t^2)

Answers: 2

Show answers

Answers

$f(x)=\dfrac{200000\ln(t-0.1)}{39.95t^2}=\dfrac{4000000}{799}\cdot\dfrac{\ln(t-0.1)}{t^2}\\
f'(x)=\dfrac{4000000}{799}\cdot\dfrac{\dfrac{1}{t-0.1}\cdot t^2-\ln(t-0.1)\cdot2t}{t^4}\\
f'(x)=\dfrac{4000000}{799}\cdot\dfrac{\dfrac{t}{t-0.1}-2\ln(t-0.1)}{t^3}\\f'(x)=\dfrac{4000000\left(\dfrac{t}{t-0.1}-2\ln(t-0.1)\right)}{799t^3}$

Answer from: gunnatvinson

$\frac { dy }{ dt } =\frac { 8\cdot { 10 }^{ 6 } }{ 799{ t }^{ 2 } } \left\{ \frac { 5 }{ 10t-1 } -\frac { \ln { \left( t-\frac { 1 }{ 10 } \right) } }{ t } \right\}$

Workings below. Don't know if it could've have been simplified further.

I've made a "smooth criminal" version, just in case you like things compressed.

$\frac { dy }{ dt } =\frac { n }{ { t }^{ 2 } } \left\{ \frac { 1 }{ t-k } -\frac { \ln { \left( { \left( t-k \right) }^{ 2 } \right) } }{ t } \right\} \\ \\ n=\frac { 4\cdot { 10 }^{ 6 } }{ 799 } ,\quad k=\frac { 1 }{ 10 }$

How do i differentiate (2ln(t-0.1))/(39.95t^2)

How do i differentiate (2ln(t-0.1))/(39.95t^2)

Answer from: Quest

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.

Answer from: Quest

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.

Another question on Mathematics

Mathematics, 21.06.2019 15:00

Find the sum of the measure of the interior angles of a polygon of 9 sides ; of 32 sides

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

What power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent and then find the volume of the cube

Answers: 3

Answer

Mathematics, 21.06.2019 19:00

List the sides of δrst in ascending order (shortest to longest) if: m∠r =x+28°, m∠s = 2x+16°, and m∠t = x+12

Answers: 1

Answer

Mathematics, 21.06.2019 19:20

What is x3+3x2−16x−48 divided by x−1?

Answers: 1

Answer

You know the right answer?

How do i differentiate (2ln(t-0.1))/(39.95t^2)...