Graph the function, not by plotting points, but by starting from the graph of y= e^x. State the domain and range and asymptote. h(x)= e^x-3+5

Q: Suppose $15000 is invested at 7% interest compounded continuously. How long will it take for the…

A: Suppose $15000 is invested at 7% interest compounded continuously. How long will it take for the…

Q: Graph the function y=-sin2x on [-pi,0]

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Q: A point is moving on the graph of y³ = x². When the point is at (-512, 64), its y coordinate is…

A: Given, A point is moving on the graph of  y3 = x2. When the point is at -512, 64, its y coordinate…

Q: A newspaper headline states that “The rate of growth of the national deficit is decreasing.” What…

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Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

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Q: 9) If a function is decreasing with an upward concavity, what do you know about the function's first…

A: Since you have asked multiple question in a single request, we would be answering only the first…

Q: Average Annual Wage The following table shows theU.S. average annual wage in thousands of dollars…

A: Consider the given table. Now, use the ti-83 calculator to find the function and use the following…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Half life = 1590 years Inititial amount of sample (a0) = 300 mg Final amount of sample (af) = ?

Q: Example: Sketch pictures of some functions that would not have a derivative at x = 2.

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Q: Graph y = - x“ + 2x² – 10 function using x- and y-intercepts, critical points, points of inflection,…

A: Plot the graph for f(x).

Q: Ex.2 : Use first derivative , second derivative, and the graph y= x²-4 to asymptotes X-1

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Q: Evaluate the derivative: y = log2(log2x)

A: It is given that,

Q: The average profit a local store owner earns on a given day is \$590$590 and is growing…

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Q: The value of a brand new car is $30, 000 and the value depreciates 15% every year. Write a function…

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Q: Consider the following situation. A tank contains 2500 L of pure water, with 15 kg of salt dissolved…

A: Let consider that function s(t) is kgs of salt in the tank at time t minutesAs we know thats'(t)=The…

Q: Use symmetry, first derivative, second derivative, and asymptotes to graph function:y: 2-x

A: The given function is y=x2-12-x ...............(1)

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: If f(x) and g(x) is any function then, If limx→∞f(x)g(x)=∞ then f(x) grows faster than g(x). If…

Q: Element X is a radioactive isotope such that its mass decreases by 57% every hour. If an experiment…

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Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A:

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: derive a formula for the of time that takes money to increase by one and half in a bank account that…

A: We have R= 3% compounded  yearly Let say it will take t years

Q: Estimate the instantaneous rate of change of the function shown in the graph at x=600.

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Q: Suppose that fis an exponential function with percentage growth rate of 1% and that f(0) = 4. Find a…

A: Given The percentage growth rate is 1% and f0=4.

Q: Find the maximum area of a rectangle in the first quadrant with one corner at the origin, an…

A: To Find the maximum area of a rectangle in the first quadrant with one corner at the origin, an…

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.067…

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Q: Create two exponential functions that have a horizontal asymptote at y=3 and go through the point…

A: The solution is given below

Q: write down the solution parameters of this graph. what is the: -scale factor -starting x value…

A: Given graph: There is no Linear 2 and Exponential 2 graph. To find: Scale factor Starting x-value…

Q: A government agency estimates the number of young adults (ages 18 to 24) in a particular country to…

A: Given that       A Government agency estimates the number of young adults (ages 18 to 24) in a…

Q: The base of a right triangle is decreasing at a rate of 2 meters per hour and the height is…

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Q: If a function is decreasing with an upward concavity, what do you know about the function's first…

A: Given :   If a function is decreasing with an upward concavity To find : the function's first two…

Q: Choose the correct graph by clicking. 0 = 3150 ly

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Q: Assume straight-line depreciation. A jet ski that cost $13,200 when new will have no salvage value…

A: use rate of depreciation formula to evaluate the desired answer

Q: The half-life of radium-226 is 1590 years. (a) If a sample has a mass of 150 mg, find a function…

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Q: A radioactive substance has a half-life of one week. In other words, at the end of every week the…

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Q: How does a continuous exponential graph differ from a discontinuous exponential graph?

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Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: fx=x2lnx gx=ln2x⇒gx=lnx2 limx→∞fxgx=limx→∞x2lnxlnx2limx→∞fxgx=limx→∞x2lnx

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: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: fx=lnx,  gx=ln2x

Q: An initial investment of $6000 grows at 5% per year. What function represents the value of the…

A: Given that initial investment made = $6000 It is said that the investment grows 5% per year. This is…

Q: When looking at the graph of an original function, how do you know when the derivative of the…

A: To find the derivative, for your visualization, just draw the graph and the graph of its derivative.…

Q: Suppose an initial population of 33 million people increases at a continuous percent rate of 1.6%…

A: Given  Initial population = 33 million  rate =1.6% Increases continuously

Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: According to the guidelines issued by the company We are supposed to answer only first three…

Q: Suppose you are looking at a graph ofvelocity as a function of time. How can you estimate…

A: Consider the graph of the velocity function with time.   Estimating the acceleration at a given…

Q: Find the derivative of the natural logarithm y=lnx.

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Q: y = ln (7x³ + 5)* 4

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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: Use the model to estimate the profit in `1989 y =

A: Given, Y = -0.08 X+ 21.70 where, Y represents profit for a certain company  X represents years after…

Q: A money market fund has a continous flow of money at a rate of f(x)=0.07x+700 for 10 years. Find the…

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Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: We know that from the limit method, a function fx grows faster than gx if and only if limx→∞fxgx=∞…

Q: If $2000 is invested at 7.2% compounded continuously, graph the amount in the account as a function…

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