Give the procedure to fit the following exponential curves, (i) y = a ebx

Q: Given the exponential growth function f(x) = 78(1.0145)* What is the initial value of the function?

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Q: Determine the y-intercept of the exponential function h(x)=e^x

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Q: Find the exponential function f(x) = a whose graph is given. f(x)

A: GivenThe graph of the exponential function which is in the form f(x)=ax

Q: Find an exponential function of the form f(x) = bax + c for the graph.

A: Given function-  f(x)= bax+c ----(A)  The curve (A)  is passing through ( -1,9) So putting x=-1 and…

Q: Graph Y1 = log(x2) and Y2 = 2 log(x) using a graphingutility. Are they equivalent? What might…

A: the two function are , y1=log(x2) and y2=2log(x) . the graph of the two function will be as follows

Q: for X=3,5, Find y value by considering tihe exponential curve fitting techinics y= dePX + Inly)…

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Q: Find the exponential function y = Cekt that passes through the two given points. (0,1/2),(3,1)

A: We have to find exponentially function

Q: Find derivative for the following exponential function at x = 0 O -5 e O -5/e O 5e O 5/e

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Q: Suppose $14000 is invested at 7% interest compounded continuously. How long will it take for the…

A: Consider the provided information P=14000r=0.07A=28000 Find the value of t.

Q: Suppose f(x)=3•27x , find a constant b such that the graph of log b f has slope 1. b=?

A: Given

Q: An investment of $75,000 increases at a rate of 12.5% per year. Find e value of the investment after…

A: An investment of 75,000 increases at a rate 12.5% per year. Find the value of the investment after…

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

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Q: = Evaluate the exponential function below from x up to x = 5. ſ((5x¹+2x) (2x³ + 1))dx

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Q: Find the deri vative OF +he exponential function: y = arcsin e*

A: Given function - y = sin-1e-xDifferentiating on both sides with respect to x - dydx =…

Q: Complete the table to determine the balance A for $13,000 invested at rate r = 7% for t years,…

A: Compound interest = P ert r = 7% = 0.07 P = $13000

Q: Find the exponential function f(x)=a^x whose graph is given. f(x)=

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Q: Find the effective rate of interest for 11% compounded continuously. The effective rate of interest…

A: The effective rate of interest for 11% compounded continuously

Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: Given that, population of a certain bacteria in a laboratory sample is P=100. For every 6 hours the…

Q: Suppose $2000 is invested at 7% interest compounded continuously. How long will it take for the…

A: Given query is to find the time taken to reach the investment of 2000 to 10000 if compounded…

Q: How many years will it take for an initial investment of $25,000 to grow to $80,000? Assume a rate…

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Q: Jay wants to invest $5,000 in an account with an interest rate of 8.5% that is compounded…

A: Here we have to find out amount of money.

Q: Find the function of the form y = loga x whose graph is given.

A: Let the function of the form y=logax Given graph:

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A: Formula to calculate continuously compounded interest: A = Pert where, A is Amount at time t,P =…

Q: As the base a of an exponential function f(x) = a* , where a>1, increases, what happens to the…

A: As the base a of an exponential function f(x) = ax where a >1, increases To find what happens to…

Q: y = log (4x°)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How many years will ittake for an initial investment of $10,000 to grow to $25,000?Assume a rate of…

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Q: A function defined by y = ab can be written in terms of an exponential function base e as

A: The function is y=abx

Q: Lucy invested $6,000 into an account that earns 6% interest compounded continuously. Approximately…

A: Directly use the formula for compound interest.

Q: Differentiate the function Y = logi5(x° +1)

A: Differentiation of logax is defined as dlogaxdx=1xloga Chain rule of differentiation states that…

Q: Given the function y = log3 (x – 2) + 1, what is the equation of the asymptote?

A: Equation of the asymptote of the given function y=log3x-2+1

Q: Find the exponential model that fits the points shown in the table. (Round the exponent to four…

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Q: The APY for 6.5% compounded continuously is %. Give answer as a percent rounded to one decimal…

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Q: Find the function of the form y = loga x whose graph is given.

A: A logarithm function of the form logax has the property that loga1=0. This is because a0=1. For this…

Q: How long will it take for $25000 to grow to $42000 if invested at 5.5% compounded continuously? use…

A: Given,

Q: Complete the table to determine the balance A for $13,000 invested at rate r= 7% for t years,…

A: Principal amount = $13000 Interest rate = 7% = 0.07 Time = t years Compound interest compounded…

Q: Find the function of the form y log,(x) whose graph is given.

A: Given that: Graph of f(x)

Q: How long does it take for 1,000 to double when compounded continuously with an interest rate of 2.4%

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Q: Find a so that the graph of y = logax passes through the point (e , 2).

A: Given,

Q: Deduce the relationship between y and x from the graph shown. log(y) 3.7 0.7 log(x)

A: The general equation of a line in two-point form is: where x and y are variables of horizontal and…

Q: The graph of the exponential function with base, e, has a at Its domain is Its range is

A: Domain and range of the exponential function with base e

Q: Find the exponential function f(x)=a whose graph is given as

A: Here we have to find the exponential function whose graph is

Q: Create the exponential function in the form f (x) = a(b)* that fits the two data points given:…

A: Given query is to find the exponential function.

Q: Altitud Tasa de dosis Altitud Tasa de dosis y 50 28 4400 51 450 30 4800 58 780 32 5300 69 1200 36

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: Create the exponential function in the form f (x) = a(b)" that fits the two data points given: (0,…

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Q: If a population grows exponentially at a rate r, the time it will take for the population to double…

A: We can derive the formula for the time it will take for the population to double using the basic…

Q: why does the value d(y) not matter when estimating theta for a member of the linear exponential…

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Q: Find the RMS value of / logx over the range x = 1 to x = e

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Q: what is the average rate of change of f(x)=log2(x) between 4 and 32. write the answer as a fraction

A: It is average rate of change.