Model the following data using an exponential function of the form f(x) = Ab^x . set up a system of equations, and solve it to get A and b.  (a) f(x) is exponent

Q: A company's revenue (in 1,000's of dollars) can be shown as R(x) =-×^2 + 15x + 10 and cost (in…

A: The given revenue function:R(x)=-x2+15x+10The Cost function is:C(x)=4x+34

Q: A firm’s revenue after selling q items is given by R(q) = 2q3 +36q while the firm’s costs after making…

A: R(q) = 2q3 +36qC(q) = 3q2 −10Profit, P(q) = R(q) - C(q) = 2q3 +36q - (3q2 −10) = 2q3 - 3q2 +…

Q: The ife expectancy for females in a certain country born during 1980 -1985 was approximately 74.2…

A: We have 3 unknowns, we will make 3 equations with given data.

Q: 7. - B-[73] Solve for X in the matrix equation: B-4X = A 6

A: Given:  A=1-6510B=-237-1 to solve for X in the matrix equation: B-4X=A

Q: Solve (D2+20D+200)y = 10 O y = e-10x (c₁sin10x + c₂cos10x) + 20 Oy=e-10x (c1sin10x + c₂cos10x) +…

A: Given

Q: 3. Two experimental lines of botflies reproduce at different rates. These equations represent the…

A: Here the function used to represent the number of bot flies are exponential functions. An…

Q: Does the following system of equations have a solution? How do you know? s(x)=x^2(1/9x+2) and…

A: We need to graph both the functions for set of solution

Q: Find a linear model, g(t)=mx+b, and an exponential model, g(t)=ab^t, if g(0)=5 and g(-2)=10. (Round…

A: Here the exponential model is given. So from that, we will find the value of a and b. then solving…

Q: Solve []=[ 'y' 3 - 17 ][] 2 -3, x(0) -4, y(0) = 1

A: Given: x'y'=32-17-3xy, x(0)=-4, y(0)=1 To find: Solution of given system of differential equations.

Q: Your professor has written down a pdf for you to work with, but unfortunately she has spilled tea on…

A:

Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

A:

Q: (b) A virus is believed to be spreading through a sheep farm according to that equation 1 N = 450 (-…

A: The function that represent the spreading is given as N(t)=45011+249e-0.1t . (i) Obtain the number…

Q: 4) * Which equation represents a nonlinear function? А. у-х- 6 В. у3 2х- 3 C. y 2x + 4 D. y= x + 2.5…

A: Answer

Q: FOR THE EQUATION, Y- 3n-n (2%,+Z2+.+Z,)+3^-(n-1"(22.+Xz+...+Zn-1)+.+3m-(2=1) +Xa t...+Xn - 3 FIND…

A: As per the question we are given an expression for Y in terms of x1 , x2 , ... , xn , n > 0  And…

Q: The transmission dynamics of a disease in a population is represented by the equation ما بين ,al - (…

A: As per the question we are given a transmission dynamic model where : I : number of infected peple…

Q: 4. Differentiate y = 2³-² from first principles.

A:

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.