Limits & Continuity Questions and Answers

x 1 n 4 The Taylor series for In x centered at x 1 is 1 n 1 Let f be the function given by the sum of the first three nonzero terms of this series The maximum value of In x f x for 0 3 x 1 7 is B 0 039 C 0 145 A 0 030 D 0 153 E 0 529

Study this chemical reaction Mg 1 Mgl Then write balanced half reactions describing the oxidation and reduction that happen in this reaction oxidation reduction 0 0 0 D 00 8

Suppose a product s revenue function is given by R q 6q 900g where R q is in dollar and q is units sold Find a numeric value for the marginal revenue at 40 units and record your result in the box below The Marginal Revenue MR 40 dollars per unit

The function P x 2x 1525x 5000 gives the profit when x units of a certain product are sold Find a the profit when 80 units are sold dollars b the average profit per unit when 80 units are sold dollars per unit c the rate that profit is changing when exactly 80 units are sold dollars per unit d the rate that profit changes on average when the number of units sold rises from 80 to 160 dollars per unit e The number of units sold when profit stops increasing and starts decreasing Round to the nearest whole number if necessary

For the credit card account below compute the average daily balance the finance charge and the account balance for the next billing Assume the billing cycle begins on the same date each month and that the interest rate is 21 5 per month Previous Balance plus Interest 1082 April 1 First Day of the Billing Cycle April 9 Jewelry Purchase April 16 Returns April 21 April 22 April 24 Payment Average Daily Balance Pay for Repairs Online Purchase 1082 106 66 89 53 56 Monthly Finance Charge Account Balance for the start of the Next Billing Cycle

dratic K Factor the trinomial x 2x 35

Write the function if it has the lowest degree possible 3 Given W x 3 x 2 x 4 Find the zero s The multiplicity of each one End behavior As x goes to infinity y goes to As x goes to negative Suzie sketched a possible graph is she correct Why or wh

K Fill in the blank with the appropriate word phra An expression that contains two terms in which called a n An expression that contains two terms in whic

10T A positive angle less than 2 that is coterminal with is 3 Simplify your answer Type your answer in terms of Use integers or fractio

Graph the solution set of the inequality wher 3 x 5

53 Height of a Building The angle of elevation to the top of th Empire State Building in New York is found to be 11 from the ground at a distance of 1 mi from the base of the build ing Using this information find the height of the Empire State Building

in sriggs audiellya 2 Use proof by induction to show n 2n 3 for integer values n 3

5 Find the possible values of the complex number z given that z 8 6i Maxim

Find ALL the zeroes real or imaginary of p x 6x 10x 16x Use calculator to speed things up but also SHOW WORK You will need the quadratic formula

min concavity IP s amed Salad Attempt 1 Question 3 0 5 points Listen Determine the 8 6 6 0 1 max or min for f x 1

r decr max min concavity IP s Mohamed Salad Attempt 1 2 00 00 3 11 6 Question 5 0 5 points Listen Given f x 3a rel min 3x3 4 Determin O incr on 0 0 decr on 0 rel max 0 4

Find ALL of the zeroes real or imaginary for the function p x x 5x x

The graph of f is given Use the graph to compute the quantities asked for If an answer does not exist enter DNE a b lim F x lim f x x 0 c lim f x X 0 d lim f x y 6 2 2 4

hy If the limit does exist so state cause it diverges to or cause the function is not defined to the left of ze se it approaches or cause the function is not defined to the right of a finite number

oes exist so state to or 8 d right limits exist but are not the same finite va the left or right limits exists as a finite value verges to and the other side diverges to co

Consider the function below Use it to find the following limits If an answer does not exist enter DNE if r 4 f x if r 4 20 2 x 1 a lim f x 1 4 b lim f x c lu f x d lim f x

or 8 ges to and the other side diverges to 0 ght limits exist but are not the same finite valu e left or right limits exists as a finite value

imit does exist so state one of the left or right limits exists as a finite va ide diverges to and the other side diverges to erges to or 0 ft and right limits exist but are not the same fin ber

The graph of fis given Use the graph to compute the quantities asked for If an answer does not exist enter DNE 2015 10 5 a lim f x X 10 b lim f x X 5 c lim f x X 5 d lim f x X 5 y 20 15 10 5 5 10 15 20 5 10 15 20

Graph the equation and state the slope of

Graph the equation by plotting points y x 4

A basketball field house seats 15 000 Court side seats sell for 10 end zone for 6 and balcony for 5 Total for a sell out is 92 000 If half the court side and balcony and all end zone seats are sold ticket sales total 52 000 How many of each type of seat are there 4000 courtside 3000 end zone 8000 balcony 3000 courtside 2000 end zone 8000 balcony 3200 courtside 1800 end zone 10 000 balcony 3000 courtside 2000 end zone 10 000 balcony

Multiply and simplify your answer 2 2x 3 2 50 4 8 8

ynamic Systems has an outstanding bond that has a 1 000 par value and an 8 percent coupon rate interest is paid semiannually The bond has 8 years remaining until it matures Today the going terest rate is 10 percent and it is expected to remain at this level for many years in the future a Compute the current yield Do not round intermediate calculations Round your answer to two decimal places b Compute the capital gains yield that the bond will generate this year Do not round intermediate calculations Round your answer to two decimal places

take f is a function with D f 3 3 and R f 00 1 what is D g where g x f x 3 1

The function f x is graphed below What is true about the graph from point c to point d a b It is positive and increasing It is positive and decreasing It is negative and increasing It is negative and decreasing C d e Submit Answer

24 Mo 36 Mo 48 Mo APR 12 Mo 6 00 86 07 44 32 30 42 23 49 19 33 6 25 86 18 44 43 30 54 23 60 19 45 6 50 86 30 44 55 30 65 23 71 19 57 23 83 19 68 6 75 86 41 44 66 30 76 19 80 19 92 7 00 86 53 44 77 30 88 23 95 7 25 86 64 44 89 30 99 24 06 7 50 86 76 45 00 31 11 24 18 20 04 7 75 86 87 45 11 31 22 24 30 20 16 8 00 86 99 45 23 31 34 24 41 20 28 8 25 87 10 45 34 31 45 24 53 8 50 87 22 45 46 31 57 8 75 87 34 45 57 31 68 20 40 24 65 20 52 24 77 20 64 9 00 87 45 45 68 31 80 24 89 20 76 20 88 13 08 13 22 9 25 87 57 45 80 31 92 25 00 9 50 87 68 45 91 32 03 25 12 21 00 9 75 87 80 46 03 32 15 25 24 21 12 10 00 87 92 46 14 32 27 25 36 21 25 10 25 88 03 46 26 32 38 25 48 10 50 88 15 46 38 32 50 10 75 88 27 46 49 32 62 25 72 11 00 88 38 46 61 32 74 25 85 21 74 13 78 21 37 13 35 25 60 21 49 13 49 21 62 13 63 50 Mo 120 Mo 11 10 following question 11 23 11 35 What is the monthly payment for a 2 1148 11 61 year 9 000 loan with an APR of 11 74 11 87 7 75 Round your answer to the 12 00 nearest cent Do not include a dollar 12 13 12 27 sign in your answer 12 40 12 53 12 67 12 80 12 94

Now by definition and 1 cot 0 tan 0 sec 0 csc 0 This gives you the values as follows csc 0 sec 0 cot 0

C Carb Diyeti Ne 4 5 X TU gc blackboard com ultra courses 323494 1 cl c 10 Benefits of Onlin QUESTION 2 ProQuest Ebook C Express each of the following in standar 650 000 000 000

QUESTION 1 Select the numbers that are in proper scientific notation 45 x 102 0 45 x 105 4 5 x 10 0 045 x 10 5 5 x 10 4 5 x 100

x 2y z 1 2x 3y 2 y 2z 0 1 1 Solve the system below using Gaussian Elimination

MCV4U 3 Sketch the graph of one piecewise function which has all of the following a lim f x 4 b lim f x 2 c f 3 1 d lim f x 5 e f 2 is undefined f lim f x 0 4 Using your graph from question 2 what is lim f x Why X 3 Unit 1 Limit 5 2

The box plot represents the number of tickets sold for a school dance 11 12 13 3 Tickets Sold for a Dance 15 21 20 17 18 19 Number of Tickets Sold 16 22 23 24 Which of the following is the appropriate measure of variability for the data and what is its value The IQR is the best measure of variability and it equals 3 The range is the best measure of variability and it equals 12 O The IQR is the best measure of variability and it equals 12 25 O The range is the best measure of variability and it equals 3

12 Assume that there is country with a population of 60 individuals Assume further that the labor force is 40 and those who are employed is 38 What is the employment rate

19 1 tan x 1 cot x tan x cot x

Determine whether the graph repres domain and range Is this the graph of a function O No n Yes

Write a conditional statement that the Venn W

Domain a f x y 9x 20 y 350 3 VERO YOU b d Function e g x y 2x 4y 1 sin x sin y x y k x y xy yx h x y k x y y cos x Ran

The relationship between the Fahrenheit F and Celsius C scales is given by F g C C 32 a Find g g F 20100 5 g What does g1 represent O g represents the Fahrenheit temperature that corresponds to a Celsius temperature O g represents the difference in degrees between Celsius and Fahrenheit g represents the Celsius temperature that corresponds to a Fahrenheit temperature O g represents the Celsius temperature at time F O g represents the Fahrenheit temperature at time F b Find g 77 g 77 25 What does your answer represent O It represents the Fahrenheit temperature that corresponds to 77 Celsius It represents the difference in temperature between 77 Fahrenheit and its Celsius equivalent It represents the Celsius temperature that corresponds to 77 Fahrenheit It represents the Celsius temperature after 77 minutes

Use f x 4x 3 and g x 2x 2 to evaluate the expression a fog x b gof x

Find the inverse function of f f x 5 6x f x

5 10 Point Consider the function g x y a if x y 0 0 if x y 0 0 Using polar coordinates calculate lim r 0 0 g x y and find a so that g is continuous at the origin

y b 4 4 0 a f 1 6 f 3 c F 4 2 f 4 the Indi ted values X

HW4 1 Provide a detailed explanation step by step proof or solution to the given problem Make sure to include any theorems or definitions used Problem 3 5 1 If n is not prime and n 4 show that n divides n 1 that is n 1 0 mod n

mework 1111 Polynomial Fun iar la Use a d