determine and correctly interpret the maximum or minimum of the functions that model the following situations using valid mathematical procedures and the correct mathematical notation. Express your answer in terms of the context of the problem. The profits of a micro business selling Christmas cakes are related to the price of their product. The relationship is R(p)=-0.4p^2+64p-1000, where R is the revenue in thousands of dollars and p is the price of the product in dollars. What price would maximize revenue?

Q: B. Solve as indicated. 13 1. Find the geometric mean of 28 and 112. 2. Find the geometric mean of 7…

A: Since the geometric mean of two numbers a and b is given by  Geometric mean = √(ab)

Q: Let A be a nxn matrix and Ax = Xx for some scalar A and some nonzero x E R". Then x is called : A.…

A: Let A be a nxn matrix

Q: Find and simplify each of the following for f(x) = 2x - (A) f(x + h) 8x + 5. (B) f(x + h) – f(x) f(x…

A:

Q: (B) Define the integral domain ring. Is the product of integral domain rings also an integr domain?

A: To define integral domain ring and find whether product of integral domains is also an integral…

Q: Just 34) pl

A:

Q: Find the domain of the function. 4 F(x) = 6x* + 6x 2 + 6

A:

Q: given vektor (3.l,2) (6,2,1) (-4, 313) %3D V2 %3D %3D

A: Given

Q: x² + 14x = -24

A:

Q: ne graph of a nearest integer, as indicated. Some problems may have to det X or y more than one…

A: We have, Aim: to find value of x at f(x)=3

Q: For numbers 18-20 18. Given the function f(x) = cos(5x), 0<x<2n

A: f(x) = cos(5x) differentiation of function f'(x) = -5sin(5x)…

Q: A seat's position on a Ferris wheel can be modelled by the function h(t) 14 sin (2.1t + 0.8)+ 15.5…

A: We have to find the height at given time.

Q: 2. The sum of three consecutive multiples of 8 is 888. Find the multiples.

A: Explanation of the answer is as follows

Q: and y intercepts, local or absolute maximum and ontal asymptotes where appropriate. %3D =(x)f (s) -4…

A:

Q: How is the circumference of a circle similar to the perimeter of a square ?

A: To explain the similarity between circumference of circle and perimeter of square.

Q: ong 2, number of marbles that the bag could contain?

A: Here is the solution

Q: The length of a rectangle is twice its width. If the perimeter is 72 meter, find the length and…

A:

Q: Suppose you use exactly 222 feet of wire fencing to enclose a rectangular grazing area for your…

A:

Q: [2 -1 Let k be a real mumber and A =k 1. 7. Then A is a singular matrix if O k=10 O k=5 O None of…

A:

Q: dy Solve x dx - y = x² sin x .

A:

Q: It has been estimated that the population of Indianapolis is growing at a rate of 0.9% per year.…

A: Growing rate of Indianapolis population is 0.9% per year. Population in January 2016 = 1,988,817.…

Q: Find the product. 48z y 5 3 ir3,2

A: Given: 48x5y3y4·x2y6x3y2

Q: 2d 2e 2/ Let a, b, c,d, e, f be real numbers, A = d 1 and B = ld- 3 If determinant of A is equal to…

A: We can solve this as follows:

Q: 4. Find the first five terms of the sequence in which the sixth term is 47 and twelfth term is 77.

A: As per bartleby guidelines we only give first question answers.

Q: ¶/x x-0 sin (1 /x) Lim

A: To evaluate: limx→∞π/xsin(π/x)

Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x (Use decimal…

A:

Q: Estimate the average rate of change from = 4 to a = 5. Enter your estimate as a decimal number (not…

A: Formula   From the graph f(5) = 7 f(4) = 3.5

Q: Let k be a real number and (M) be the following system. (x +y = k – 1 (M): 2х + у %3D 0 Using…

A: We can solve this as follows:

Q: The function y = 17.14 sin(0.52x 1.75) + 7.11, where x represents the number of the month, models…

A: Given problem:- The function y = 17.14 sin(0.52x - 1.75) + 7.11, where x represents the number of…

Q: 6. Determine the absolute maximum values of the function f(x) = x³ – 6x –1 where xe [-2,3]

A:

Q: Operations on Sets Consider the following sets. A = {3, 6, 9, 12, 15, 18} B = (4, 8, 12, 16} C= (3,…

A: Given,A={3,6,9,12,15,18}C={3,6,9,12}E={3,9}Aim : To find A∪C∪EWe know that Union of two or more sets…

Q: 3. A ladder 8 meters long leans against the wall of a building. If the foot of the ladder makes an…

A:

Q: Write an equation for the function that results from each transformation applied to the base y = 3*.…

A: First plotting the graph of given function then apply the given transformations step by step :

Q: (B) What would be the estimated price per computer for a demand of 11,000 computers? For a demand of…

A: We have to find the price per computer at given demand.

Q: Consider the relationship 7r + 6t= 7. a. Write the relationship as a function r f (t). Enter the…

A:

Q: A coffee shop sells different blends of coffee. One blend is made by combining 4 lbs of Columbian…

A:

Q: 2 -1 Let k be a real mumber and A = k Lo Then A is a singular matrix if 7. O k=10 О к-5 None of the…

A:

Q: Given the vectors (1 1 0), (0 2 3), (1 2 3), ( - Select one: O True

A:

Q: Q25: What's mean by a zero divisor element of a ring R? Find all zero divisor elements of Zg-

A: see below the answer

Q: Q28: Define the concept of field. Is (R-{0},+,.) field?

A: Solution: Definition : Concept of field in mathematics is ..set of elements.. where we can do some…

Q: 1. The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

A:

Q: _2. With the sun, a girl 1.4 m tall casts a 3.6 m shadow. Find the angle of elevation from the tip…

A: 5) We know that, tanθ=heightbasetanθ=height of girlshadow of…

Q: Melissa launches a rocket from a 33-meter-tall platform. The height, h, of the rocket, in meters,…

A: Melissa launches a rocket from a 33‐meter‐tall platform. The height, h, of the rocket, in meters,…

Q: 6) 2. 10 Зх - 6 3

A:

Q: Use the following graph of a function f to determine y to the nearest integer for y = f(4). A f(x)…

A:

Q: -5 If f (x) is the function whose graph is shown, on which interval is f constant? -5- Use cursor to…

A: We know that the graph of a constant function is symmetric with respect to the y-axis. That is…

Q: Which of the following step functions corresponds to the graph shown? Use cursor to interact with…

A: Consider the graph given below :

Q: Because of budget cuts, MaryAnn was required to take a 10% pay cut. If she earned $58,000 before the…

A: We have to find out the paycut salary

Q: 6. How much more money would you have by investing $100,000 for 1 year into an account paying 4.2%…

A:

Q: Define the concept of field. Is Za field?

A: We have to define the ceoncept of field. Is Z is field?

Q: Find the product. Write your answer as a fraction. 22-4x 1'+3z-4 I-1

A: