Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Chapter 9.5, Problem 21P
The Widget Company sells boxes of widgets by mail order. The company charges a tixed amount for shipping, no matter how many boxes of widgets are ordered. All boxes of widgets are the same size and cost the same amount. The company is out of state, so there are no taxes charged. You fund out that the total cost (including shipping) for 6 boxes of widgets is $27, and the total cost (including shipping) for 10 boxes of widgets is $41. Find the cost of shipping and the price of one box of widgets. Also, find an expression for the total cost (including shipping) of N boxes of widgets. Explain your reasoning.
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1 pts
Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
(-3 +/-3 i sqrt(3))/4
+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
2. Answer the following questions.
(A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity
Vx (VF) V(V •F) - V²F
(B) [50%] Remark. You are confined to use the differential identities.
Let u and v be scalar fields, and F be a vector field given by
F = (Vu) x (Vv)
(i) Show that F is solenoidal (or incompressible).
(ii) Show that
G =
(uvv – vVu)
is a vector potential for F.
Chapter 9 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 9.1 - Write an expression that uses addition and...Ch. 9.1 - Write at least three different expression for the...Ch. 9.1 - Write at least three different expressions for the...Ch. 9.1 - a.Draw a design made of small circles ( or another...Ch. 9.1 - a.Draw a design made of small circles ( or another...Ch. 9.1 - Write two different expressions for the total...Ch. 9.1 - Write two different expressions for the total...Ch. 9.1 - Write two different expressions for the total...Ch. 9.1 - Prob. 9PCh. 9.1 - An auditorium has 50 rows of seats . The 1st row...
Ch. 9.1 - Write at least two expression for the total number...Ch. 9.1 - Write an expression using multiplication and...Ch. 9.1 - Write an expression using multiplication and...Ch. 9.1 - Shade 23.25+12.15 Of rectangle in such a way that...Ch. 9.1 - Shade 3413.12 Of rectangle in such a way that you...Ch. 9.1 - Show how to make the expression 21131356+17361834...Ch. 9.1 - Show how to make the expression (3111)(15+111)...Ch. 9.1 - Write equation that use rules about operating with...Ch. 9.1 - Explain why it is not valid to evaluate 22+377...Ch. 9.1 - Write equation that uses rules about operating...Ch. 9.2 - Describe the structure of the expression 3S3+2S3Ch. 9.2 - Describe the structure of the expression...Ch. 9.2 - a. Students sometime mistakenly think that the...Ch. 9.2 - Prob. 4PCh. 9.2 - a.Write at least two expression for the area of...Ch. 9.2 - Write at least two expression for the total number...Ch. 9.2 - Write and explain two equivalent expressions that...Ch. 9.2 - Draw label and shade a rectangle so that it gives...Ch. 9.2 - Draw label and shade a square so that it gives...Ch. 9.2 - a. Write two equivalent expressions , each using...Ch. 9.2 - Tyrone has a marble collection that he wants to...Ch. 9.2 - Kenny has stickers to distribute among some goodie...Ch. 9.2 - Ted is saving for a toy. He has no money now, but...Ch. 9.2 - If you pay $7 for a night light that cost $ 0.50...Ch. 9.2 - Bonnie had B stickers . First , bonnie gave away...Ch. 9.2 - There are X quarts of liquid in a container ....Ch. 9.2 - Martin had M dollers initially . First , martin...Ch. 9.2 - There are F cups of flour in a bag . First , 38 of...Ch. 9.2 - Write a scenario for the expression (x+15)13(x+15)...Ch. 9.2 - a. Write a scenario for the expression 45x25...Ch. 9.2 - At a store , the price of an item is $ P ....Ch. 9.2 - a. Try this mathematical magic trick several...Ch. 9.3 - Explain how to solve the next equation by...Ch. 9.3 - Write an equation that can be solved by reasoning...Ch. 9.3 - In your own words explain how to solve each of the...Ch. 9.3 - Solve 4x+5=x+8 In two ways : with equation and...Ch. 9.3 - Solve 3x+2=x+8 In two ways : with equation and...Ch. 9.3 - You asked your students to solve the equations...Ch. 9.3 - Give your own example of the following equations ....Ch. 9.3 - What's wrong with the next reasoning that...Ch. 9.3 - You are walking to azkaban when you come to a fork...Ch. 9.4 - A candy bowl contains 723 candies. Some of the...Ch. 9.4 - Sarah spends 25 of her monthly income on rent....Ch. 9.4 - After Joey spent 38 of his money on an electronic...Ch. 9.4 - Katie made some chocolate truffles. She gave 14 of...Ch. 9.4 - a. Suppose you want to modify Problem 4 about...Ch. 9.4 - Write something similar to Problem 4 in which a...Ch. 9.4 - By washing cars, Beatrice and Hannah raised $2000...Ch. 9.4 - There are 1700 bottles of water arranged into 4...Ch. 9.4 - Write something simiiar to Problem 8 in which a...Ch. 9.4 - One day a coffee shop sold 360 cups of coffee,...Ch. 9.4 - A 1-pound-5-ounce piece of cheese is divided into...Ch. 9.4 - A hot dog stand sold 38 of its hot dogs before...Ch. 9.4 - Write something similar to Problem 12 in which the...Ch. 9.4 - Julie bought donuts for a party - 16 of the donuts...Ch. 9.4 - Shauntay caught twice as many fireflies as Robert....Ch. 9.4 - At a frog exhibit, 35 of the frogs are bullfrogs,...Ch. 9.4 - {See Problem 15 in Section 9.2) Bonnie had some...Ch. 9.4 - (See problem 18 in Section 9.2 ) there are some...Ch. 9.4 - Not every algebra word problem is naturally...Ch. 9.4 - Not every algebra word problem is naturally...Ch. 9.4 - In a group of ladybugs there were 10% more male...Ch. 9.4 - A farmer planted 65% of his farmland with onions,...Ch. 9.4 - Some exercise equipment is on sale for 20% off....Ch. 9.4 - Clevere makes 30% more money than Shane. If...Ch. 9.4 - Two stores had a combined total of 210 teddy...Ch. 9.4 - If 23 of a cup of juice gives you 120% of your...Ch. 9.4 - Erika is weaving a wool blanket. So far, she has...Ch. 9.4 - Jane had a bottle filled with juice. At first, she...Ch. 9.4 - A flock of geese on a pond was being observed...Ch. 9.5 - Assume that the pattern of a square followed by 2...Ch. 9.5 - Assume that the pattern of a circle followed by 3...Ch. 9.5 - Assume that the repeating pattern of 4 squares...Ch. 9.5 - What day of the week will it be 1000 days from...Ch. 9.5 - Figure 9.52 shows a sequence of figures made of...Ch. 9.5 - Consider the arithmetic sequence whose first few...Ch. 9.5 - Consider the arithmetic sequence whose first few...Ch. 9.5 - Draw the first 5 figures in a sequence of figures...Ch. 9.5 - a. Consider the arithmetic sequence 5, 7,9,11,13,...Ch. 9.5 - Consider an arithmetic sequence whose third entry...Ch. 9.5 - Consider an arithmetic sequence whose fourth entry...Ch. 9.5 - Consider an arithmetic sequence whose fifth entry...Ch. 9.5 - Consider the geometric sequence whose first few...Ch. 9.5 - Consider the geometric sequence whose first few...Ch. 9.5 - Consider the geometric sequence whose first few...Ch. 9.5 - Describe four different rules for determining the...Ch. 9.5 - Describe four different rules for determining the...Ch. 9.5 - Describe four different rules for determining the...Ch. 9.5 - Suppose you owe $500 on a credit card that charges...Ch. 9.5 - Suppose you put $1000 in an account whose value...Ch. 9.5 - The Widget Company sells boxes of widgets by mail...Ch. 9.5 - Suppose a scientist puts a colony of bacteria...Ch. 9.5 - a. Use a calculator to compute 2161 . Are you able...Ch. 9.6 - Describe your own real or realistic context in...Ch. 9.6 - For each of the following descriptions, draw a...Ch. 9.6 - Consider the followmg scenario: Over a penod of 5...Ch. 9.6 - A patient receives a drug. This situation gives...Ch. 9.6 - Sketch three different graphs that could fit with...Ch. 9.6 - Sketch three different graphs that could fit with...Ch. 9.6 - Solar panels produce electricity by collecting...Ch. 9.6 - For each of the three scenarios below, sketch...Ch. 9.6 - An object is dropped from the top of a building....Ch. 9.6 - A skydiver jumps out of a plane. At first, the...Ch. 9.6 - Water is being poured at a steady rate into a...Ch. 9.6 - Write a story or describe a scenario that gives...Ch. 9.6 - Draw two different graphs of two different...Ch. 9.6 - Consider the doubling plus one function: The...Ch. 9.6 - Prob. 15PCh. 9.6 - Explain why the next proposed function is not a...Ch. 9.6 - The levels of a certain toxin in a lake have been...Ch. 9.7 - A small-order coffee company charges $12 for each...Ch. 9.7 - A company prints T-shirts with original designs....Ch. 9.7 - A company sells mail order T-shirts. The company...Ch. 9.7 - Today a T-shirt company has 500 T-shirts in stock....Ch. 9.7 - in a problem about the weight of animal feed in a...Ch. 9.7 - Some students are washing cars for a fund-raiser....Ch. 9.7 - Initially, a vat is filled with 500 liters of...Ch. 9.7 - Max was asked to write an equation corresponding...Ch. 9.7 - To cook rice, you need to use 112 times as much...Ch. 9.7 - A company sells 314 times as many tissues as...Ch. 9.7 - Show how to use strip diagrams to help you...Ch. 9.7 - After a vine that was 18 inches long was planted,...Ch. 9.7 - A mail order coffee company charges $12 for each...Ch. 9.7 - Assuming that the following tables are for linear...Ch. 9.7 - Consider a function that has the following...Ch. 9.7 - Consider a function that has the following...Ch. 9.7 - At one stage in a factory’s candy production,...Ch. 9.7 - A school bought 100 rolls of wrapping paper for a...Ch. 9.7 - For the spring fling, a school bought 200 slices...Ch. 9.7 - The Gizmo store sells gizmos. You pay $3 for the...Ch. 9.7 - At a store that sells fences, if you buy 15 feet...Ch. 9.7 - Describe a real-world scenario in which two...Ch. 9.7 - Consider these two relationships: Relationship 1:...Ch. 9.7 - For each of the following, either define variables...Ch. 9.7 - Compare and contrast inversely proportional...Ch. 9.7 - For each of the following tables, determine what...Ch. 9.7 - For each of the following tables, determine what...Ch. 9.7 - Find two different equations for two different...Ch. 9.7 - Consider the function whose equation is y2=x22x...Ch. 9.7 - An object is thrown down from the top of a...Ch. 9.7 - An oil company has determined that its profit...Ch. 9.7 - During a 6-hour rainstorm, rain fell at a rate of...Ch. 9.7 - In the country of Taxo, each household pays taxes...Ch. 9.7 - A company that sells coffee has determined that if...Ch. 9.7 - A projectile is launched. After tseconds, the...
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