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A: P=Aert Where P is present value , A is amount and r is rate and t is time.

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: y = log,(8th): In2)

A: Given,          y=log28tln2

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A: Topic- continuous compound interest

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

Q: 22. Express the signed area between the graph of y = - and the x-axis from x = 0.25 to x = 1 in…

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Q: Log(X^3Y^2Z^7)

A:

Q: s) Use the properties of logarithms to find dx y = In 4] sin' (3x) 5* √√x² +1

A: We can solve the derivative of 'y' as below.

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A:

Q: y = loga 4x 6.

A: Differentiate with respect to x.

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A:

Q: At the time of the birth of a child, a parent wants to begin a college fund that will grow to $43000…

A: Given that the interest is compounded continuously

Q: How long will it take to triple $12000, invested at 4.5% compounded continuously? (A = Pe*t) %3D

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

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

Q: Order the functions f(x) = log2 x, g(x) = xx , h(x) = x2 , and k(x) = 2x from the one with the…

A: Consider the given functions fx=1og2x,gx=xx,gx=x2,k=2x.

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A:

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

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A: We have to solve

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A: A=$5200, P=$4000, r=4.7%=0.047

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A:

Q: 5. Find the derivative of the following Natural Logarithm functions f(x) = In(3x – 4) a. b. 2

A:

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A: a)

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A:

Q: Suppose y m In(x) + b is a logarithmic function that has the points (12.5,2.4) and (62.3,8) on its…

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Q: Find the present value for a $85,000 investment for 11 years at a compounded continuously at 3.2%.

A:

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

A: Given that: Graph of f(x)

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Q: Find a formula for the exponential function passing through the points (– 2, 40) and (1, 5) f(z) =

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Q: find the deliva tiva dy for the function by using logarithmic

A: Derivative.

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

A: Given,

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A:

Q: 4. Which of the following functions grow faster than x2 as x→∞? Which grow at the same rate as x²?…

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Q: Find the exponential function f(x)=a^x that passes through the point (3,343) and has a y-intercept…

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

A: We can find the required year in the following steps.

Q: 2 In 2 log2 x dx 7- S

A: Here I am attaching image so that you understand each and every step.

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Q: 3. Compute the value of log(2875) from the following values of log(x) with the help of Newton…

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Q: Find d/dx(4^x). Type ln(x) for the natural logarithm function.

A:

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A: topic - derivative of a function

Q: 1. Find for the following functions : dx 2x (ans.: 3x' log,( 3 – 2x)-’ (3–2x )In 2 45) y=x' log,(3–…

A: