Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Chapter 3.3, Problem 9E
(a)
To determine
The formula for the perimeter of a square with side of length
(b)
To determine
To calculate: The perimeter of a square with side of length
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3) Let R be a set of real number and d:R2 R R such that
d((x, y), (z, w)) = √(x-2)² + (y-w)² show that d is a metric on R².H.W
Use a graph of f to estimate lim f(x) or to show that the limit does not exist. Evaluate f(x) near x = a to support your conjecture. Complete parts (a) and (b).
x-a
f(x)=
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3(x-1)²
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a. Use a graphing utility to graph f. Select the correct graph below..
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(Round to the nearest tenth as needed.)
B. The limit does not exist.
b. Evaluate f(x) for values of x near 1 to support your conjecture.
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0.999
1.001
1.01
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Does the table from the previous step support your conjecture?
A. No, it does not. The function f(x) approaches a different value in the table of values than in the graph, after the approached values are rounded to the…
x²-19x+90
Let f(x) =
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Complete parts (a) through (c) below.
x-a
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B. There are no values of a for which the limit equals a finite number.
b. For what values of a, if any, does lim f(x) = ∞o? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
x→a+
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(Type integers or simplified fractions)
C. There are no values of a that satisfy lim f(x) = ∞.
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A. Either a
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B.
Chapter 3 Solutions
Prealgebra (6th Edition)
Ch. 3.1 - Fill in the blanks. The sum of a number and its...Ch. 3.1 - Fill in the blanks. The sum of two supplementary...Ch. 3.1 - Fill in the blanks. To Solve x6=3, we __________ 6...Ch. 3.1 - Fill in the blanks. To Solve x+6=2, we __________...Ch. 3.1 - Fill in each with the number that gives the...Ch. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Fill in each with the number that gives the...Ch. 3.1 - Prob. 10E
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Fill in each with the number that gives the...Ch. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Fill in each with the number that gives the...Ch. 3.1 - Fill in each with the correct number to solve the...Ch. 3.1 - Prob. 18ECh. 3.1 - Fill in each with the correct number to solve the...Ch. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Solve and check your solution. a. 18=x+2 b. 18=x2Ch. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Simplify and then solve. Check Solution. 4x3x3=8Ch. 3.1 - Prob. 42ECh. 3.1 - Simplify and then solve. Check Solution. 5y4y+1=5Ch. 3.1 - Simplify and then solve. Check Solution. 3y2y+3=1Ch. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Prob. 52ECh. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Prob. 54ECh. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Find the measure of the unknown angle for each...Ch. 3.1 - Find the measure of the unknown angle for each...Ch. 3.1 - Prob. 59ECh. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Prob. 63ECh. 3.1 - Prob. 64ECh. 3.1 - Prob. 65ECh. 3.1 - Prob. 66ECh. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - Prob. 69ECh. 3.1 - Prob. 70ECh. 3.1 - Simplify each side of each equation, then solve...Ch. 3.1 - Prob. 72ECh. 3.1 - Prob. 73ECh. 3.1 - Simplify each side of each equation, then solve...Ch. 3.1 - Prob. 75ECh. 3.1 - Prob. 76ECh. 3.1 - Prob. 77ECh. 3.1 - Translate into symbols. [1.4.2] The product of...Ch. 3.1 - Prob. 79ECh. 3.1 - Translate into symbols. [1.8.4] Double what number...Ch. 3.1 - Prob. 81ECh. 3.1 - Translate into symbols. Replace the ? with the...Ch. 3.1 - Fantasy Basketball Fantasy basketball is a game...Ch. 3.1 - Prob. 84ECh. 3.1 - Prob. 1QQCh. 3.1 - Prob. 2QQCh. 3.1 - a. Translate into symbols. The measure of ais35...Ch. 3.1 - Concept Check To solve the equation 9+x=15, Damien...Ch. 3.2 - Fill in the blanks. To solve the equation 22x=66,...Ch. 3.2 - Fill in the blanks. To solve the equation 16x=64,...Ch. 3.2 - Prob. 3ECh. 3.2 - Fill in each with the number that gives the...Ch. 3.2 - Prob. 5ECh. 3.2 - Fill in each with the number that gives the...Ch. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Fill in each with the number that gives the...Ch. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Solve and check your solution. 6x=66Ch. 3.2 - Solve and check your solution. 10x=40Ch. 3.2 - Solve and check your solution. 6y=88Ch. 3.2 - Solve and check your solution. 6y=18Ch. 3.2 - Solve and check your solution. 4a=48Ch. 3.2 - Solve and check your solution. 5m=35Ch. 3.2 - Solve and check your solution. 7y=42Ch. 3.2 - Solve and check your solution. 3y=15Ch. 3.2 - Solve and check your solution. 4x=12Ch. 3.2 - Solve and check your solution. 7a=49Ch. 3.2 - Solve and check your solution. 6y=36Ch. 3.2 - Solve and check your solution. 48=6xCh. 3.2 - Solve and check your solution. 30=3yCh. 3.2 - Solve and check your solution. 72=9xCh. 3.2 - Solve and check your solution. 56=14yCh. 3.2 - Solve and check your solution. 8x=104Ch. 3.2 - Solve and check your solution. 9y=135Ch. 3.2 - Solve and check your solution. 19x=76Ch. 3.2 - Solve and check your solution. 22y=132Ch. 3.2 - Solve and check your solution. 2(3x)=54Ch. 3.2 - Solve and check your solution. 5(2x)=80Ch. 3.2 - Solve and check your solution. 5(4x)=40Ch. 3.2 - Solve and check your solution. 3(2x)=30Ch. 3.2 - Solve and check your solution. 5(x2)=402Ch. 3.2 - Solve and check your solution. 3(x5)=602Ch. 3.2 - Solve and check your solution. 4(x2)=963Ch. 3.2 - Solve and check your solution. 6(x5)=1202Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Solve and check your solution. 15y=165Ch. 3.2 - Solve and check your solution. 14x=168Ch. 3.2 - Solve and check your solution. 4x=323Ch. 3.2 - Solve and check your solution. 3a=413Ch. 3.2 - Solve and check your solution. 12x4x=56Ch. 3.2 - Solve and check your solution. 15x10=95Ch. 3.2 - Solve and check your solution. 55=5aCh. 3.2 - Solve and check your solution. 44=4yCh. 3.2 - Solve and check your solution. (3x)2=363Ch. 3.2 - Solve and check your solution. (8x)3=482Ch. 3.2 - Solve and check your solution. 9x+3x=120Ch. 3.2 - Solve and check your solution. 7x+3x=90Ch. 3.2 - Dimensions of a building The length (L) of a...Ch. 3.2 - Comparing weights The weight of a steel beam (B)...Ch. 3.2 - Prob. 61ECh. 3.2 - The width (W) of a yard is triple the length (L)....Ch. 3.2 - Cost of Race Boat The cost of a new race boat (R)...Ch. 3.2 - Dimensions of Wood The length of the larger piece...Ch. 3.2 - Tickets sold There were three times as many child...Ch. 3.2 - Write vs. Res Cars There are two times as many...Ch. 3.2 - Soccer Goals The total number of soccer goals...Ch. 3.2 - Prob. 68ECh. 3.2 - Prob. 69ECh. 3.2 - Prob. 70ECh. 3.2 - Distance Traveled On Monday Leah drove x miles on...Ch. 3.2 - Prob. 72ECh. 3.2 - Solve. a. 13x=26 b. 13x=26 c. x+13=26 d. x13=26Ch. 3.2 - Prob. 74ECh. 3.2 - Prob. 75ECh. 3.2 - Solve. a. 9y=72 b. 9y=72 c. y+9=72 d. y9=72Ch. 3.2 - Prob. 77ECh. 3.2 - Prob. 78ECh. 3.2 - Find the value of x for each pair of supplementary...Ch. 3.2 - Prob. 80ECh. 3.2 - Find the value of x for each pair of supplementary...Ch. 3.2 - Prob. 82ECh. 3.2 - [1.2.5] Find the perimeter of a rectangle with a...Ch. 3.2 - Prob. 84ECh. 3.2 - [2.6.2] Evaluate. 2xy for x=7andy=9Ch. 3.2 - Prob. 1QQCh. 3.2 - Prob. 2QQCh. 3.2 - Prob. 3QQCh. 3.2 - Prob. 4QQCh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Fill in each blank with the correct formula. a....Ch. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - For each of the following: (a) State the...Ch. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Find the length and width of each rectangle....Ch. 3.3 - Prob. 16ECh. 3.3 - Find the length and width of each rectangle. a....Ch. 3.3 - Prob. 18ECh. 3.3 - Find the length and width of each rectangle. Floor...Ch. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - For each of the following: (a) State the...Ch. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Find the unknown side of each rectangle.Ch. 3.3 - Prob. 28ECh. 3.3 - Find the unknown measure for each parallelogram.Ch. 3.3 - Prob. 30ECh. 3.3 - Find the area of each shape made of rectanglesCh. 3.3 - Prob. 32ECh. 3.3 - Find the area of each shape made of rectanglesCh. 3.3 - Find the area of each shape made of rectanglesCh. 3.3 - Solve each applied problem. a. How many cubes with...Ch. 3.3 - Prob. 36ECh. 3.3 - Solve each applied problem. Water in a fish tank A...Ch. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - For each of the following rectangular solids: (a)...Ch. 3.3 - Find the unknown side of each rectangular solid.Ch. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Find the perimeter of each shape. A rectangle with...Ch. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Find the volume of each solid. A rectangular solid...Ch. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - Find the unknown side of each shape.Ch. 3.3 - Find the unknown side of each shape.Ch. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Wood Flooring Loretta has a townhome with a family...Ch. 3.3 - Prob. 62ECh. 3.3 - Prob. 63ECh. 3.3 - Chest Lining One roll of felt material at the...Ch. 3.3 - Painting a Room The walls of Anitas family room...Ch. 3.3 - Painting a Room The walls of Anitas family room...Ch. 3.3 - Find the area of the shaded region.Ch. 3.3 - Prob. 68ECh. 3.3 - Prob. 69ECh. 3.3 - Find the next two figures that would appear in the...Ch. 3.3 - [2.6.3] Simplify 7(x2)Ch. 3.3 - Prob. 72ECh. 3.3 - [1.4.3] Simplify (2)(3x)(5)Ch. 3.3 - [2.3.2] Perform the indicated operations. 8314.Ch. 3.3 - The width of a rectangle is double the length. If...Ch. 3.3 - Find the area of the following shape made of...Ch. 3.3 - A storage facility claims the volume of its...Ch. 3.3 - Prob. 4QQCh. 3.4 - Is 2422=46? Why or why not?Ch. 3.4 - Prob. 2ECh. 3.4 - a. Is 2(3x2)=23+2x2=6+2x2 ? Why or why not? b. Is...Ch. 3.4 - Prob. 4ECh. 3.4 - Fill in the blank. In the algebraic expression...Ch. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Prob. 11ECh. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Prob. 13ECh. 3.4 - Write each expression as repeated multiplication...Ch. 3.4 - Write each expression as repeated multiplication...Ch. 3.4 - Write each expression as repeated multiplication...Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Simplify. (4y5)(6y7)Ch. 3.4 - Simplify. (5y3)(3y3)Ch. 3.4 - Simplify. (6a6)(9a8)Ch. 3.4 - Simplify. (6a4)(2a4)Ch. 3.4 - Simplify. (5x)(3x2)Ch. 3.4 - Simplify. (6x)(3x)Ch. 3.4 - Simplify. (4y)(3y)Ch. 3.4 - Simplify. (5y)(4y)Ch. 3.4 - Simplify. (5a)(7a3)(2a6)Ch. 3.4 - Simplify. (3x)(2x4)(4x5)Ch. 3.4 - Simplify. (x)(4x6)(7x5)Ch. 3.4 - Simplify. (4x)(x7)(9x6)Ch. 3.4 - Simplify. (5x)(3y)(2x)Ch. 3.4 - Simplify. (5x)(2y)(7x)Ch. 3.4 - Simplify. (6y)(3x)(3y)Ch. 3.4 - Simplify. (3a)(2b)(4a)Ch. 3.4 - Identify each polynomial as a monomial, binomial,...Ch. 3.4 - Identify each polynomial as a monomial, binomial,...Ch. 3.4 - Simplify. 2x(x2+5)Ch. 3.4 - Simplify. 5y(y2+6)Ch. 3.4 - Simplify. 6x2(3x31)Ch. 3.4 - Simplify. 7x3(2x22)Ch. 3.4 - Simplify. 5y3(y42y)+3y7Ch. 3.4 - Simplify. 7x2(x36x)+2x5Ch. 3.4 - Simplify. 2x3(x2+4x)+5x5Ch. 3.4 - Simplify. 3x2(x3+3x)+6x5Ch. 3.4 - Simplify. (2y5)(6y2)Ch. 3.4 - Simplify. (5x1)(3x2)Ch. 3.4 - Simplify. (2x34x)(3x)Ch. 3.4 - Prob. 66ECh. 3.4 - Write the area of each rectangle as an algebraic...Ch. 3.4 - Write the area of each rectangle as an algebraic...Ch. 3.4 - Write the area of each parallelogram as an...Ch. 3.4 - Write the area of each parallelogram as an...Ch. 3.4 - Write the volume of each rectangular solid as an...Ch. 3.4 - Write the volume of each rectangular solid as an...Ch. 3.4 - Write the perimeter of each rectangle as an...Ch. 3.4 - Write the perimeter of each rectangle as an...Ch. 3.4 - Write the perimeter of each rectangle as an...Ch. 3.4 - Write the perimeter of each rectangle as an...Ch. 3.4 - For each of the following rectangles: (a) Write...Ch. 3.4 - For each of the following rectangles: (a) Write...Ch. 3.4 - Perform the operation indicated. a. 4cd+9cd b....Ch. 3.4 - Perform the operation indicated. a. 5xz+2xz b....Ch. 3.4 - Perform the operation indicated. a. 9ab57ab5 b....Ch. 3.4 - Perform the operation indicated. a. 6y7z3y7z b....Ch. 3.4 - Write the width of each rectangle as an algebraic...Ch. 3.4 - Write the width of each rectangle as an algebraic...Ch. 3.4 - [2.4.4] Divide. 357Ch. 3.4 - [2.4.3] Evaluate. (3)3Ch. 3.4 - [1.5.4] Divide. 20,566312Ch. 3.4 - [1.4.4] Multiply 31,42328Ch. 3.4 - Golf Scores In golf, par is the number of strokes...Ch. 3.4 - Golf Scores In golf, par is the number of strokes...Ch. 3.4 - Multiply. Leave your answer in exponent form. a....Ch. 3.4 - Simplify. a. 6a(a3+8a) b. (x53)(2x2)Ch. 3.4 - Write the area of the following rectangle as an...Ch. 3.4 - Concept Check Explain in words the steps to...Ch. 3 - Write the definition for each word. (3.1) Adjacent...Ch. 3 - Write the definition for each word. (3.1)...Ch. 3 - Write the definition for each word. (3.3) Parallel...Ch. 3 - Write the definition for each word. (3.4)...Ch. 3 - Write the definition for each word. (3.4)...Ch. 3 - Prob. 6RPCh. 3 - Prob. 7RPCh. 3 - Write the definition for each word. (3.4)...Ch. 3 - Prob. 9RPCh. 3 - Prob. 10RPCh. 3 - Prob. 11RPCh. 3 - Prob. 12RPCh. 3 - Prob. 13RPCh. 3 - Prob. 14RPCh. 3 - Prob. 15RPCh. 3 - Prob. 16RPCh. 3 - Prob. 17RPCh. 3 - Prob. 18RPCh. 3 - Prob. 19RPCh. 3 - Prob. 20RPCh. 3 - Prob. 21RPCh. 3 - Prob. 22RPCh. 3 - Prob. 23RPCh. 3 - Prob. 24RPCh. 3 - Prob. 25RPCh. 3 - Prob. 26RPCh. 3 - Prob. 27RPCh. 3 - Prob. 28RPCh. 3 - Prob. 29RPCh. 3 - Blue vs. White Cars There are twice as many white...Ch. 3 - Prob. 31RPCh. 3 - Miles Jogged On Friday Leo jogged x miles for his...Ch. 3 - The perimeter of a triangle is the sum of the...Ch. 3 - Prob. 34RPCh. 3 - Find the area of the square garden.Ch. 3 - Prob. 36RPCh. 3 - Prob. 37RPCh. 3 - Prob. 38RPCh. 3 - Prob. 39RPCh. 3 - Prob. 40RPCh. 3 - Find the length of the unknown side of each...Ch. 3 - Prob. 42RPCh. 3 - Prob. 43RPCh. 3 - Prob. 44RPCh. 3 - Buying Weed Killer The McBeths front yard measures...Ch. 3 - Prob. 46RPCh. 3 - Prob. 47RPCh. 3 - Multiply and leave your answer in exponent form....Ch. 3 - Prob. 49RPCh. 3 - Prob. 50RPCh. 3 - Multiply and leave your answer in exponent form....Ch. 3 - Prob. 52RPCh. 3 - Prob. 53RPCh. 3 - Multiply and leave your answer in exponent form....Ch. 3 - Prob. 55RPCh. 3 - Prob. 56RPCh. 3 - Multiply and leave your answer in exponent form....Ch. 3 - Multiply and leave your answer in exponent form....Ch. 3 - Prob. 59RPCh. 3 - Identify each polynomial as a monomial, binomial,...Ch. 3 - Identify each polynomial as a monomial, binomial,...Ch. 3 - Use the distributive property to simplify. x(x2+3)Ch. 3 - Use the distributive property to simplify....Ch. 3 - Write the area of the rectangle as algebraic...Ch. 3 - Write the volume of the rectangular solid as an...Ch. 3 - Solve each equation and check your solution. x2=8Ch. 3 - Solve each equation and check your solution....Ch. 3 - Prob. 3TCh. 3 - Prob. 4TCh. 3 - Solve each equation and check your solution....Ch. 3 - Prob. 6TCh. 3 - Prob. 7TCh. 3 - Prob. 8TCh. 3 - Prob. 9TCh. 3 - a. Translate into symbols. Angle x measures 10...Ch. 3 - Prob. 11TCh. 3 - Prob. 12TCh. 3 - Find the area of a rectangle with length 5 ft and...Ch. 3 - Prob. 14TCh. 3 - Prob. 15TCh. 3 - Find the length of the unknown side.Ch. 3 - Prob. 17TCh. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - Prob. 20TCh. 3 - Prob. 21TCh. 3 - Prob. 22TCh. 3 - Prob. 23TCh. 3 - Prob. 24TCh. 3 - Prob. 25TCh. 3 - Prob. 26T
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- Sketch a possible graph of a function f, together with vertical asymptotes, that satisfies all of the following conditions. f(2)=0 f(4) is undefined lim f(x)=1 X-6 lim f(x) = -∞ x-0+ lim f(x) = ∞ lim f(x) = ∞ x-4 _8arrow_forwardNo chatgpt pls will upvote Already got wrong chatgpt answerarrow_forwardNo chatgpt pls will upvote Already got wrong chatgpt answerarrow_forwardDetermine the following limit. lim 35w² +8w+4 w→∞ √49w+w³ 3 Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. ○ A. lim W→∞ 35w² +8w+4 49w+w3 (Simplify your answer.) B. The limit does not exist and is neither ∞ nor - ∞.arrow_forwardCalculate the limit lim X-a x-a 5 using the following factorization formula where n is a positive integer and x-➡a a is a real number. x-a = (x-a) (x1+x-2a+x lim x-a X - a x-a 5 = n- + xa an-2 + an−1)arrow_forwardThe function s(t) represents the position of an object at time t moving along a line. Suppose s(1) = 116 and s(5)=228. Find the average velocity of the object over the interval of time [1,5]. The average velocity over the interval [1,5] is Vav = (Simplify your answer.)arrow_forwardFor the position function s(t) = - 16t² + 105t, complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 1. Time Interval Average Velocity [1,2] Complete the following table. Time Interval Average Velocity [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] [1,2] [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] ப (Type exact answers. Type integers or decimals.) The value of the instantaneous velocity at t = 1 is (Round to the nearest integer as needed.)arrow_forwardFind the following limit or state that it does not exist. Assume b is a fixed real number. (x-b) 40 - 3x + 3b lim x-b x-b ... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (x-b) 40 -3x+3b A. lim x-b x-b B. The limit does not exist. (Type an exact answer.)arrow_forwardx4 -289 Consider the function f(x) = 2 X-17 Complete parts a and b below. a. Analyze lim f(x) and lim f(x), and then identify the horizontal asymptotes. x+x X--∞ lim 4 X-289 2 X∞ X-17 X - 289 lim = 2 ... X∞ X - 17 Identify the horizontal asymptotes. Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice. A. The function has a horizontal asymptote at y = B. The function has two horizontal asymptotes. The top asymptote is y = and the bottom asymptote is y = ☐ . C. The function has no horizontal asymptotes. b. Find the vertical asymptotes. For each vertical asymptote x = a, evaluate lim f(x) and lim f(x). Select the correct choice and, if necessary, fill in the answer boxes to complete your choice. earrow_forwardExplain why lim x²-2x-35 X-7 X-7 lim (x+5), and then evaluate lim X-7 x² -2x-35 x-7 x-7 Choose the correct answer below. A. x²-2x-35 The limits lim X-7 X-7 and lim (x+5) equal the same number when evaluated using X-7 direct substitution. B. Since each limit approaches 7, it follows that the limits are equal. C. The numerator of the expression X-2x-35 X-7 simplifies to x + 5 for all x, so the limits are equal. D. Since x²-2x-35 X-7 = x + 5 whenever x 7, it follows that the two expressions evaluate to the same number as x approaches 7. Now evaluate the limit. x²-2x-35 lim X-7 X-7 = (Simplify your answer.)arrow_forwardA function f is even if f(x) = f(x) for all x in the domain of f. If f is even, with lim f(x) = 4 and x-6+ lim f(x)=-3, find the following limits. X-6 a. lim f(x) b. +9-←x lim f(x) X-6 a. lim f(x)= +9-←x (Simplify your answer.) b. lim f(x)= X→-6 (Simplify your answer.) ...arrow_forwardEvaluate the following limit. lim X-X (10+19) Select the correct answer below and, if necessary, fill in the answer box within your choice. 10 A. lim 10+ = 2 ☐ (Type an integer or a simplified fraction.) X-∞ B. The limit does not exist.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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