Find either a linear or an exponential function that models the data in the table. -4 -2 0. 2 4 y 0.0096 0.24 150 3750 f(x) = | | (Use integers or fractions for any numbers in the expression.)

Q: Write the equation of the graphed exponential function in the form f (x) = a(b)*

A: Given,

Q: Determine if the function f is an exponential function.  If so, identify the base.  If not, why not?…

A:

Q: b. Write the expression in exponential form. 2y

A: (xa)b = xab (x.y)a = xa. ya

Q: Sara bought 3 fish. Every month the number of fish she has doubles. Write an exponential function to…

A: Sara bought 3 fish. Every month the number of fish she has doubles.  To write an exponential…

Q: The amount of money in an investment is modeled by the function A(t)= 700 (1.10198)^t . The variable…

A:

Q: Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases…

A: Given: Depth after 1 hour is 64 feet and depth after 4 hour is 28 feet.

Q: 20 3. 27 32 35 36 35 8. 32 27 10| 20 11

A:

Q: Write the exponential function that produces the following table: y 2 1. 4 2 5 6 5 3. 3.

A:

Q: Does the table describe a linear or exponential fuction and do they change by equal differences or…

A: for linear model we observe that for a constant change in X we see a constant change in Y that is.…

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.