(a) Find a function that models the cost of fencing the garden.

Q: what does the average rate of change represent for a linear function and nonlinear function

A: We need to say what does the average rate of change represent for a linear function and nonlinear…

Q: How will you know if a function increases and decreases and how will you locate the maximum and…

A: Let y = f(x) be any function given

Q: A photocopy service has a fixed cost of $2000 per month (for rent, depreciation of equipment, etc.)…

A:

Q: Define the term linear functions?

A: A function of the form f(x)=ax+b is called a linear function. Where a and b are real numbers.  A…

Q: Sketch a rough graph of the yield of a crop as a function  of the amount of fertilizer used.

A: According to the question, When we use the fertilizers, the amount of yield of crop will increases,…

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: Given  Fixed cost : $35 Cost of 8 items to produce is $395

Q: How can you tell right away if a function is Quadratic vs. Linear?

A: A function is Quadratic vs. Linear

Q: 5. When sign analysis is very effective for determining whether a function is increasing, decreasing…

A:

Q: ) A baseball team plays in a stadium that holds 55,000 spectators. With a ticket price at $10, the…

A:

Q: What information do you need in order to write the equation of a function that could model the…

A: 1. Gymnast's distance from the trampoline as they jump can be modelled by a Polynomial of order 4.…

Q: What is a function?

A:

Q: 1- Study the measurability of the functions:

A: Given  Two functions....we must study the measurability of the functions....where p is not…

Q: Give an example of a linear function, and sketch its graph.

A: given: the function is linear function.

Q: Suppose a company sells a certain product of x quantity and the price in dollars that modeled by the…

A:

Q: Explain Functions of More Than Two Variables?

A: A real valued function of n variables is a function that takes as input n real numbers, commonly…

Q: You are choosing between two texting plans. Plan A has a monthly fee of $15 with a charge of $0.05…

A: Given: Monthly fee of plan A is $15 with a charge of $0.05 per text. Monthly fee of plan B is $5…

Q: What is the only type of function that has a constant averagerate of change?(a) linear function (b)…

A: To find the only type of function that has a constant average rate of change.

Q: A global data plan costs $25 a month for the first 100 megabytes and $20 for each additional 100…

A: The equation representing the cost as a function of the number of megabytes x used per month is:…

Q: What is a piecewise linear function?

A:

Q: b) Differentiate between the domain and range of your function.

A: Topic  =Functions

Q: a function?

A: We know that ,  For a relation to be function each element of A should have single image in B.

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A:

Q: What is the midline equation for the function

A:

Q: For a basic subscription, a cable television provider charges an activation fee of $60, plus $125…

A: Given: Activation fee = $60 Charges per month = $125

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A:

Q: A banquet hall charges $975 to rent a reception room, plus $39.95 per person. Next month, however,…

A: Given that, the banquet hall charges $975 to rent a reception room, plus $39.95 per person. Let the…

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A: We can write two Equations. And help of the equations, We find monthly cost. Let "x" be cost of 1…

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A: from the question for a linear function, our co-ordinates will be (37,18.68) and (71,21.74) slope of…

Q: My square orchid garden abuts my house so that the house itself forms the northern boundary. The…

A:

Q: If variable B is a function of variable A, which is the independent variable and which is the…

A: It is given that B is a function of A that is, for any value of A, there is a value of B related to…

Q: The daily payroll for a work crew is directly proportional to the number of workers, and a crew of…

A:

Q: Suppose that a company has just purchased a new computer for $3600. The company chooses to…

A: A company has just purchased a new computer for 3600.the company chooses to depreciate using the…

Q: What is the significance of the point where the graph of a linear function and its inverse intersect

A: Let f be a function such that  f(x) =y Then f-1(y)=x The point of intersection of the graphs of f…

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A:

Q: A mobile plan charges a base monthly rate of $10 for the first 500 minutes of air time plus a charge…

A:

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: fix cost $200 20 item cost $400 here per item cost = 400/20 = $20 cost function  C(x) = 200 + 20x…

Q: linear functions or not?

A: Given,           A table is shown below :

Q: ... suming that the total cost per day, C(x), is linearly related to the total output per day, x,…

A: Here  is given that fixed cost is $300 total cost =$5100 per day Output 20 boards

Q: What's the difference between alinear function, a non-linear function and non-linear and not a…

A:

Q: What is linear property of the mathematical function?

A:

Q: What is the linear function?

A:

Q: How to find the derivite of a function?

A: To explain how to find derivative of function:

Q: 3. When can you say that the function is an implicit function?

A:

Q: The monthly cost (in dollars) of a long distance phone plan is a linear function of the total…

A: The monthly cost is the sum of the fixed cost and variable cost. The variable cost can be written as…

Q: Does the table below represent a linear function? Explain the space

A: We have given that, X=5,6,7,8 and f(x) =5,8,11,13 Thus, we have following co-ordinates points as…

Q: minute monthly limit. Write a piecewise-defined function to model the monthly cost Cx (in $) as a…

A: Given: A cell phone plan charges $48.35 per month plus $14.06 in taxes, plus $0.20 per minute for…

Q: manufacturer of electronic parts has a fixed cost of $410 and a variable cost of $17 per part…

A:

Q: Assume that the situation can be expressed as a linear cost function. find the cost function fixed…

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.