The quantity Q(t) of a drug in the bloodstream, in mg, at hour t, decays exponentially, as given in the graph and the table below. Assume the pattern in the table holds. Complete parts (a) through (d) below. (a) Fill in the table. Hint: Some of the values are listed on the vertical axis. (Type an integer or decimal rounded to one decimal place as needed.) Amount Q, 12.8- Time, t, (hours) (mg) Number 4 Number 8. Number 12 Number 16 Number Q 6.4- 20 Number 24 Number 3.2- 4 8 12 16 24 28 32 (b) Report the half-life. Use the pull-down menu to report the units. The half-life is Number Click for List (c) Write a formula which gives Q as a function of t. The parameters in the formula should not contain rounded values. Include 0.5 in your formula. Q = AEA (Your answer involves 0.5, real numbers, and a lower case t.) TIP: If desired, click on the Plot icon (A) next to the answer box to graph your response. (Although your answer may match the graph, it will be counted incorrect if it is not in the form requested.) (d) Estimate the length of time until the amount of the drug in the patient's bloodstream is 0.2 mg. After Number hours, the amount of drug in the bloodstream is 0.2 mg. (Type an integer or decimal rounded to one decimal place as needed.) 20

Q: Consider the data in the following table: X 1 23 456 7 y 121.260 113.984 107.145 100.716 94.673…

A:

Q: 2a) The population of a village was 40 at the beainning of 200. The doğ 2003.' AsSuming an)…

A:

Q: The function f(x) = 2x²-3x+ k has a minimum -Find the value of k. 8. value of-

A: The function fx=2x2-3x+k has a minimum value 78. We have to find the value of k.

Q: 3) Find the formula for an exponential function y = ab* that passes thru the two points. Round 6 to…

A: Given,  An exponential function  y = abx  It passes through the points  a  0, 6, 3, 750 b 1, 6, 5, 1…

Q: 3. The population of a town is decreasing at a rate of 6.2% per year. The city council believes they…

A:

Q: The width w (in millimeters) of successive growth spirals of the sea shell Catapulus voluto, shown…

A: We need to find the width of third spiral.

Q: The population, P, of fish in a lake after t years can be modelled by P = 3,200(0.9526)* Determine…

A: We have to find annual rate of increase or decrease of the given data.

Q: Is this table linear or exponential? 4 1 8 16 3. 32 2.

A:

Q: A life table has the following form: 4 = (1.01)* x la. Q7: Find qx-

A: Solution is here

Q: 5) Four students were asked to graph the exponential functions shown below. LOIS JONAH y = -9(4)* y…

A: Lois:  y=-94x,  Jonah:  y=40.8x Sonny:  y=-60.3x,  Zona:  y=41.3x . y=40.8x to find the y-intercept…

Q: The graph shows an exponential function. What is the equation of the function? O A. y = 2 O B. y = -…

A: A function is a relation which maps each value in its domain to exactly one value in its range. A…

Q: K A restaurant purchased a 72-in. range with six burners for $7378. The value of the range each year…

A: Step 1:Given that, The range of dollars  with 't' years is given as, V(t) = (7378)(0.69)t Step 2:…

Q: Roche manufactures Tamiflu to treat flu symptoms. Roche manufactured 5.5 million treatments of…

A: Roche manufactures Tamiflu to treat flu symptoms. Roche manufactured 5.5 million treatments of…

Q: O ADD NOTE Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car…

A:

Q: Determine whether the growth (or decay) is linear or exponential, and answer the associated…

A:

Q: Complete the table shown to the right for the population growth model for a certain country. k=…

A:

Q: 10. Write an equation for each of the exponential functions shown below. The base graph is y = 2*.…

A:

Q: Solve the equation below. Give your answer in exact form. (5) - = 10 3 Entry Tip: Be sure to use log…

A: see below the answer

Q: (1/64)3n x 8 =26

A: Formula:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.