Differentiate: (Do not simplify or plug in any numbers); You must use the chain rule where required. If necessary rewrite the function before you use the rules. ln(x^4+1)

Q: What is evaluating limits of exponential functions and how do we use it in our life?

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Q: True or False ln1x + 32 - ln12x2 = ln1x + 32ln12x2

A: Given the equation is  ln x + 3 - ln 2x = ln x+3ln 2x To check whether given statement is True or…

Q: tion size after 9 years. ary.

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Q: ln(3x-4)=ln(20)-ln(x-5)

A: Given query is to find the value of x.

Q: Condense ln x + ln 6 - ln 12

A: Ln problem.....

Q: A certain forest covers an area of 2100  km2 . Suppose that each year this area decreases by 9% .…

A: ANSWER:

Q: Solve: ln(x + 2) - ln(4x + 3) = ln (1/x).

A: GivenIn(x+2)-In(4x+3) = In(1/x)We have to solve this equation We have In(x+2)-In(4x+3) = In(1/x)We…

Q: Finding the derivative of f(x) = 2x2+3x+2, using definition of derivative

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Q: Solve using logarithmic differentiation.

A: We need to find differentiation.

Q: According to on of the derivative, lim (Enter the simplified form of the difference quotient) (Enter…

A: Using formula :

Q: Differentiate  f (x) = 1/ln(x4 + 5)

A: We have the given function as fx=1lnx4+5         ⋯⋯1 We know that, from the quotient rule of…

Q: exact doubling time of: a nation of 100 million people is growing at a rate of 4% per year. What…

A: N0=100×106=108Nt=1081+4100t, where t is in yearsN15=1081.0415=180094350 people

Q: Solve: ln x = ln(x + 6)- ln(x - 4)

A: The properties of logarithms can be used to solve the problem. Now, it is observed that the…

Q: Solve: ln(x - 3) = ln(7x - 23) - ln(x + 1).

A:

Q: Radioactive dating is a method used to estimate the age of fossils. Evaluate (8 x 10") + (2.2 x 10®)…

A: We can evaluate the answer as below

Q: Solve ln(x^2−5x)=ln(6)

A: We have to solve

Q: Find the value of an investment of 20,000 for 12 years at an annual interest rate of 4.95%…

A: Obtain the value of an investment of 20,000 for 12 years at an annual interest rate of 4.95%…

Q: ln(x+2)=7

A: We have to solve for x

Q: Solve ln 6

A: log106log102 * 3log102 + log1030.3010 + 0.4771= 0.7781

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative.…

A:

Q: Solve ln x - 32 ln x + 2 = 0

A: Given: lnx-32lnx+2=0 For finding value of x, we simplify given expression

Q: Without showing the details, explain how to condense ln x - 2 ln(x + 1).

A: Given: lnx-2lnx+1

Q: Solve ln 0.5

A: To find: The value of expression ln 0.5. Concept used: Quotient rule of logarithmic: ln ab=ln a- ln…

Q: Determine whether the following statement is true or false, and explain why. (ln 3)4 = 4 ln 3

A: We know that, ln an=n ln a ; n is an integer

Q: eliminate the constant using any methods (by isolation of constants or by differentiation and…

A: Given: xsiny - ycosx = c We are using the method of differentiation to eliminate the arbitrary…

Q: certain forest covers an area of 2300 km2 . Suppose that each year this area decreases by  3.75% .…

A: Topic :- algebra

Q: Differentiate  y = ln(4x2 - 2x + 9)

A: To differentiate  y=ln(4x2-2x+9) The given function is a composite function, Hence, let u=4x2-2x+9…

Q: A certain ball is dropped from a height of x feet. It always bounces up to 2/3x feet.  Suppose the…

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Q: Solve ln(3x+2)−ln(10)=ln(5)

A: Given that       ln(3x + 2) - ln(10) = ln(5)

Q: solve for x   ln(x)=.0807

A: We want  to free up x from natural  log. So take exponential  on both side.

Q: Simplify and condense 2(ln(x)-ln(x+1)+3/2ln(x-1))

A: 2(ln(x)-ln(x+1)+32ln(x-1))=2lnxx+1+lnx-132

Q: do you find the

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Q: Evaluate ln( – 0.003). Give your answer to 4 decimal places. - In( – 0.003) -

A: Topic- Function

Q: Derivative of ln[cosx/4-3x^2]

A:

Q: express ln 3√4 in terms of ln 2 and/or ln 3

A:

Q: Graph of ln x

A: Given,         The function is fx=lnx.

Q: A population of bears originally numbers 45000. After 2 years of growth at the same rate each year,…

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Q: A population of bears originally numbers 88000. After 2 years of growth at the same rate each year,…

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Q: Find the time required for the investment given in the table below to grow to the specified amount.

A: we will use the formula A(t)=Pe^rt  where  A(t)= ending balance  P= principal amount r= rate t= time…

Q: Find the second derivative of the f(x)=9+8x ln x function

A:

Q: lim log, (8X – 4) x→∞

A: The given limit is: limx→∞log28x-4 This can be written as:…

Q: Sima invests some money in an account that earns a fixed rate of interest compounded annually The…

A: Given that, Sima invests some money in an account that earns a fixed rate of interestcompounded…

Q: Find the doubling time of an investment earning 6​% interest if interest is compounded continuously.

A: The doubling time formula with continuous compounding is the natural log of 2 divided by the rate of…

Q: solve for the unknown. ln(x4) − ln(x2) = 2

A: Use this property of log: Then combine like terms

Q: Determine whether the equation is true or false: ln x + ln(2x) = ln(3x). Where possible, show work…

A: Our Aim is to determine whether the equation given below:-ln (x) +ln (2x)=ln (3x) -(i) is true or…

Q: derivative of f (x)= (9x4 5 - 7x

A: Given:

Q: The mean life of a radioactive material is the reciprocal of its decay constant. Show that 95% of a…

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.