2. In this question you will find/estimate x - 2| dr in a few different ways. (a) Estimate |x - 2| dr and over using SIX rectangles and a RIGHT endpoint -2 sum (like Papa Bear). Be sure to sketch the graph and show all calculations. (b) Estimate |r - 2| dr and over using SIX rectangles and a LEFT endpoint sum (like Mama Bear). Be sure to sketch the graph and show all calculations. O Now find Jr- 2| dz EXACTLY. There's an easy way and a hard way. Find (c) -2 the answer the éasy way and show all calculations.

Q: In a certain state, it was predicted that next year's sales tax should not change by more than 8% of…

A: maximum change in sales tax for upcoming years = find out 8% of 6% sales tax.

Q: Sketch the region defined by the inequalities 0 ≤ r ≤ 2 sec θ and -π/4 ≤ θ ≤ π/4.

A:

Q: 6. Find two numbers whose sum is a, if the product of the square of the one by the cube of the other…

A:

Q: Suppose a company has fixed costs of $32,000 and variable costs of 4/9x + 333 dollars per unit,…

A:

Q: Find the positive integer that maximizes the sum of the numbers and its reciprocals?

A: First make equation and then differentiate

Q: If a company has total costs C(x)=24000+25x+0.1x^2 and total revenues given by R(x)=485x-0.9x^2,…

A:

Q: 4. Find xandy intercepts, intervals of monotoncity, local extreme value, intervals of concavity,…

A: Given: f(x)=3x2x2-x-2. X-intercept: We know to find x-intercept, put y=0 : Therefore, 0=3x2x2-x-2…

Q: How is the graph of the entire function different from the graph for the real-life situation?  2)…

A: Answer for sub question 1; Given Cn=600+115nn Then, C'n=-1n2600+115n+1n115=-600n2-115n+115n=-600n2…

Q: 5. A farmer wants to fence an area of 9600 square feet in a rectangular field and then divide it in…

A:

Q: Estimate the local maximum shown in the graph below. 5 4 3- 2 -5 -3 -2 -1 3 6. -2 -3- -5 -6 -7 5 4.

A:

Q: If the arithmetic mean of the marks of 3 students equals 9 where the mark of the first student = 6…

A: Given data is appropriate for measures of central tendency . so, for this data we need to find a…

Q: A family has two cars. The first car has a fuel efficiency of 16 kilometers per liter of gas and the…

A: The first car has the fuel efficiency =16 km/lit The first car has the fuel efficiency =18 km/lit…

Q: If a company has total costs C(x) = 14,000 + 55x + 0.2x2 and total revenues given by R(x) = 325x −…

A:

Q: 1. The sum of two numbers is 12. What are these numbers if the product of the first and the cube of…

A: Given problem Given that   The sum of two numbers = 12 Let the two numbers be x and y. We have to…

Q: Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.

A: To find a positive number for which the sum of it and its reciprocal is the smallest possible.

Q: The number of 3-digit numbers less than 400 that can be created if the last digit is either 4 or 5…

A: Solution  :

Q: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost…

A: Given query is to make system of equations and solve them to find the number of each ticket sold.

Q: Sometimes it is necessary to find the coordinate of a point on a number line that is located…

A: Hey, Thanks for the question." Since you have posted multiple subparts, as per our guidelines we…

Q: During a flu epidemic, the total number of students on a state university campus who had contracted…

A:

Q: Suppose (−4,1) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A:

Q: Farmer Ed has 800 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: To find- Width , Length and the largest area that can be enclosed.

Q: If a company has total costs C(x) = 36,000 + 25x + 0.1x² and total revenues given by R(x) = 515x -…

A: Let's find break even points.

Q: Suppose you have a 2.5 grade point average in 3 courses. What is the minimum average you can have in…

A:

Q: Lester thinks that the solution of any inequality with a > sign is the region above the line and the…

A: In this case graph can be of two type: Horizontally or vertically. Case 1: When a graph (or line) is…

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: the length of the square end edge is =?                                     box height is =? the…

Q: Solve the following problems involving optimization. 2. Find a pair of non-negative number that…

A: We have to find a pair of non-negative number that have a product of 162 andhave to minimize the sum…

Q: What are two positive numbers with a product of 250 where the sum of the first and four times the…

A: Let the positive numbers are x and y.Given that the product of them is = 250So, xy=250or, y=250x

Q: If a class of children is separated into groups of 5 children, 2 children will be left over. If the…

A: Let the number of children in the class is N. 1. It is given that when the children are seperated…

Q: 1. The sum of two positive number is 42. What are these numbers if their product is a maximum?

A: As per our guidelines we can help you in solving only first question. Rest of the problems, you have…

Q: 1. The product of two numbers is 147. If the sum of one of the numbers and thrice the other is to be…

A:

Q: 17. Find two positive integers such that their sum is 10 and maximize and minimize the sum of their…

A:

Q: Fihd the minimum sum of two positive numbers (not necessarily integers) whose product is 500.

A: Given that: Product of two positive numbers is 500

Q: There are four students working on a project in math class. Miguel has completed 1/8 of the project,…

A:

Q: Research has shown that losing even one night's sleep can have a significant effect on performance…

A: Solution

Q: 20) Show that the sum of two consecutive integers is always odd.

A: Let x be any integer. Then its consecutive integer can be written as x+1.

Q: The distance between x and 3 on a number line is no more than 0.5.

A: Given: The distance between x and 3 on a number line is no more than 0.5

Q: Suppose the funcion x is defined as follows.          {-1 if -3.5 < x < -2.5         { o if -2.5 <…

A: Given function, h(x)=-1  if -3.5&lt;x≤-2.50    if -2.5&lt;x≤-1.51     if -1.5&lt;x≤-0.52     if…

Q: what is the maximum number of functions one can make from a set of n elements to a set of m elements

A: If |A|=n  And  |B|=m  Then the number of possible function from A to B is m^n.

Q: 2. Find two nonnegative numbers whose sum is 2022 and whose sum of squares is as large as possible

A:

Q: Research has shown that losing even one night's sleep can have a significant effect on performance…

A: We have to conduct t test for testing the difference in mean of paired data.

Q: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost…

A: Given, Advance tickets cost $35 Same-day tickets cost $20 Totally 35 tickets are sold. The total…

Q: Suppose you have 13 juniors and 11 seniors. How many different draws of 6 names would contain…

A: Given that, We have 13 juniors and 11 seniors. We should select 3 juniors from 13 and 3 seniors from…

Q: Draw the graph of f(x) = 5* - 3 10+ 7- 5- 4- 10 -9 -8 -7 -6 -5 -4 -3 -2 7 8 9 16 -2 -3 -4- -5- -6-…

A:

Q: stion do not necessarily correspond to the number of correct choices in this question. If there are…

A: We have to choose the correct answer from the given option according to the given condition

Q: The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice,…

A: Answer written in image with explanation

Q: If the profit function for a firm is given by  P(x) = −3800 + 210x − x2  and limitations on space…

A: According to the question,  Profit function for a firm is given by equation: P(x) = −3800 + 210x −…

Q: A piece of wire of length 63 is cut, and the resulting tow pieces are formed to make a circle and a…

A: The total length of the wire is 63.Let x be the length of the wire cut for the circle.Then, 63-x is…

Q: Four consecutive positive integers are such that the smallest is a multiple of 5, the second is a…

A:

Q: If total costs are C(x) = 1500 + 1420x and total revenues are R(x) = 1500x − x2,  find the…

A: Given:- The total costs are C(x) = 1500 + 1420x Total revenues are R(x) = 1500x − x2,

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.