L{(e' Li(e' + e )?)=

Q: sketch the shifted exponential curves

A: We have to sketch the shifted exponential curves: y=-ex and y=-e-x. We know the graph of ex and e-x,…

Q: Find the effective rate of interest. For 6% compounded continuously

A:

Q: Since the data obtained as a result of 5 observations of an experiment is ∑ log Xi = 6.27, what is…

A: n = 5 ∑ log Xi = 6.27 We have to find the geometric mean.

Q: 2) 12

A:

Q: What is the total amount of 4500 TL with 3,7 % continuously compound interest after 3 years?

A: Given Present value (P)= 4500 TL Rate (r)=3.7% Number of years (t)= 3

Q: ind the half-life of a radioact

A: Given that: Rate = 12 %

Q: 2X Y=ln (3") +sec (Inx)+tan (ln5x)

A: We will differentiate the function and simplify.   The detailed solution is as follows below:

Q: The half-life of carbon-14 is 5700 years. If an item is discovered with only 17% of the original…

A: Given Half life of carbon-14 =5700 years  i.e. and an item is found with only 17% of the original…

Q: If a derivative of a function is constant, the function is: O First Degree Exponential O Logarithmic…

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Q: 43. Find the function whose tangent line has slope (x + 1)e¯* for each value of x and whose graph X-…

A:

Q: A quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the…

A:

Q: Suppose that a population grows according to a logistic model with carrying capacity 6500 and k =…

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Q: How would I calculate the principle value of  ln(-ie)

A: Given, z=lne-i Convert e-i to polar form. For a complex number a+bi  polar form is given by,…

Q: 7. Use linear approximation to approximate the value of log(99) without the need for a calculator.…

A:

Q: Find 49 by implicit differentiation if

A: differentiate both sides with respect to p and get the solution in 2nd step.

Q: What rate of interest compounded continuously will yieldan effective interest rate of 6%?

A: It is given that, the effective interest rate is 6%. re=6%=0.06

Q: Differentiate the following function.   y = ln(3x+1) - ln 3

A: We need to differentiate the following function.   y = ln(3x+1) - ln 3

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

A: Given: lnx-2lnx+1

Q: A radioactive substance decays at a rate proportional to the amount present ( y(t) = yoe-rt ) If 40%…

A: let the amount of radioactive material be x, and Given that…

Q: Evaluate the derivative of y=(cosh'(4x))* . Give your answer in natural logarithmic form.

A:

Q: 2-if y³ = ln xx

A: Please refer to the image below

Q: solve for y: ln(3-y)-ln(y) = 2x + ln(5) without a calculator

A: Given equation is :Moving all the logarithm terms and using the property: ln(a) – ln(b) =…

Q: What are the domain and range of ln x?

A: Given: y=lnx we know that in lnx, x>0 so, domain of given function is x>0

Q: Suppose the rate of net investment is given by I (t) = Lnt, find the total capital accumulation…

A:

Q: Create a function in VBA of the equation of exponential curve fitting of The Annual Revenues of…

A: it graph based problem  try to substitute each value of x from 0 to 5000 and with obtain values try…

Q: Interest is compounded continuously at 5%.  How long until a $5000 investment grows to $12000?

A: Interest is compounded continuously at 5% $5000 investment grows to $12000

Q: find the present value of an investment worth $15,000 in 15 years with 5% interest compounded…

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Q: A radioactive substance decays at a rate proportional to the amount present. If the initial mass of…

A:

Q: A quantity with an initial value of 8200 grows continuously at a rate of o.55% per decade. What is…

A:

Q: What's the derivative of ln(ln(ln(lnx^3)))

A:

Q: Find the amount after 3 years if $ 1000 is invested at an intrest rate of 12% per year, compounded…

A: Given :             The amount invested is $1000.             Interest rate = 12% per year.…

Q: sketch the shifted exponential curves

A: To draw the graphs , first draw x and y axes . Label x for x-axis and y for y-axis . Choose some…

Q: An artifact is discovered at a certain site. If it has 52% of the carbon-14 it originally contained,…

A: Topic:- exponential decaying function

Q: Find the effective rate of interest for 10% compound continuously.

A: The continuous rate is calculated by raising the number "e" (approximately equal to 2.71828) to the…

Q: Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0). y…

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Q: When do we use the Chain rule in derivates of exponential function

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

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Q: What is the value of ln ( e8)?

A:

Q: Give 5 example of integrals yielding natural log functions with solution

A: The integral examples are:

Q: 2. How long will it take you to get ten times your money at 2% interest compounded continuously.

A:

Q: What is the derivative of e^-x

A: Given query is to find derivative of e-x

Q: find the equation of the tangent line to the graph of the logarithmic function at the point (1,0)…

A: Given problem:- find the equation of the tangent line to the graph of the logarithmic function at…

Q: In your own words, explain what a differential is, and what it's used for.

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Q: 3 sin-xe 5%

A:

Q: Give 5 examples of derivative of exponential function with solution

A:

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A: Definition:                                Let f(x) and g(x) be positive for x…

Q: Calculate ln1√e.

A: we have to calculate :-  ln1e

Q: In the last 4 line, where is the ^2 in the ln part?

A: The given integral,      ∫13arctanx dx

Q: What is the derivative of log (x²)? ○ 2x-log(x²) 1 x² 2x O log(2x) O exp(2x)

A: