Functions Questions and Answers

Write the Egyptian numeral below as a Hindu Arabic numeral The Hindu Arabic numeral is Type an integer

Complete the expanded notation for 195 195 x 100 10 x1

Use the table to write the given Roman numeral as a Hindu Arabic numeral Roman Numerals Hindu Arabic Numerals XVIII XVIII Type an integer I 1 V 5 X 10 L 50 C D 100 500 M 1000

Use Newton s Method to approximate the zero s of the function Continue the iterations until two successive approximations differ by less than 0 001 Then find the zero s to three decimal places using a graphing utility and compare the results f x x 9 9x 32 39x 35 061 Newton s method Graphing Utility x 2 5 X 2 5 x 2 89781531 x 2 89997211 x 2 700487 x 2 82029044 smallest value largest value

b Read It ild DETAILS Watch It SMITHNM1 itten by description roster or s

Problem 3 Let 2 be a C bounded domain of RN On H 22 we define the bilinear form N a u v a 92 ijel where a L n satisfying for some 0 N a r du v dij cuv x x 201 a ez and VE ER igel Prove that there exists 0 such that the bilinear form a satisfies the hypothesis of the Lax Milgram Theorem provided c r 2 ren

2 Determine the real values of z for which the series 3 2 1 3x 5 50 1 is convergent and then find its sum for x 1

f x y 0 3x y x y In the notes we proved that the limit of f x is 0 as x y ap proaches 0 0 using the precise definition of limit However this can also be proved via the Squeeze Theorem In the notes we reached the following inequality 3x y x y 3 y Use the Squeeze Theorem with this inequality to deduce that the limit of f x y is 0 as x y approaches 0 0 comfirming what we found in class Go back to Chapter 1 if you need to remind yourself of the Squeeze Theorem It works exactly the multiu niablo galoulua

Construct a truth table for the following symbolic statement p q q p Use the type of truth table where each variable or operator in the given expression has its own column Fill in the the truth table one at a time Pq P p

Subtract A B C D 1 5 3x 3 3 x 2x 1 X 4 2 3 x 1 X 4 x 1 x 5 3 x 1 x 5 x 1

ind the domain of the function shown below g x 2 3 5x What is the domain of the function Type your answer in interval notation

Figure is not drawn to scale 15 ft 17 t 5 ft What is the surface area of the aquarium Note The to of the aquarium is open

Savings Tremanie has 260 in savings and is planning to add 40 each week Fatoumata has 500 in savings and is planning to add 30 each week Their plan is to wait until their savings are equal and then load up their old Volkswagen bus and take a road trip They figure out that the equation used to determine how many weeks it will take until their savings are equal is 40w 260 30w 500 where w is the number of weeks they have been saving How many weeks will Tremanie and Fatoumata have to continue to save until they both have the same amount in savings and they can go on their road trip Tremanie and Fatoumata will have the same amount in savings after weeks

If the profit function for a firm is given by P x 1300 140x x2 and limitations on space require that production be less than 100 units find the break even points Enter your answers as a comma separated list X units

Find the values of the trigonometric functions of 0 from the sin 0 0 in Quadrant IV 5 cos 8 tan 0 csc 0 sec 0 cot 0

Use implicit differentiation to determine equation xy tan x cos y dy dx ay d r given the

Given the equation below find dy dx dy dx 19x5 10xy y 95 30 Now find the equation of the tangent line to the curve at 1 1

Ryy is an integer and 7 y 2 yy is an integer and 7 y 2 yly is an integer and y 8 rm Choose one cated form indicate a pattern make sure to list at least four elements of the set x x is an integer and x 3 X 7 6 5 4 3 2 Choose one 600

A is the set of even numbers greater than or equal to 4 and less than or equal to 16 B 27 23 24 29 a Find the cardinalities of A and B n B n b Select true or false 22 EA 27 E B True False O O X X 5

participated in the drug trial in all 368 of the participants had nausea 338 of the participants had anxiety 248 of the participants had both nausea and anxiety 148 of the participants had both nausea and fatigue 158 of the participants had both anxiety and fatigue 107 of the participants had all three side effects nausea anxiety fatigue 127 of the participants didn t have any of these three side effects nausea anxiety fatigue Construct a Venn diagram illustrating these results Then answer the question All participants in the survey Had nausea Had fatigue Had anxiety How many of the participants had both anxiety and nausea but didn t have fatigue participants X

632 people were surveyed in all 310 of the people own a cat 134 of the people own a cat but own neither a bird nor a fish 67 of the people own a fish but own neither a cat nor a bird 121 of the people own a bird but own neither a cat nor a fish 43 of the people own both a cat and a fish but don t own a bird 32 of the people own both a cat and a bird but don t own a fish 551 of the people own at least one of these three types of pets cat bird fish Construct a Venn diagram illustrating these results Then answer the question All people in the survey Own a cat C 7 Own a bird How many of the people don t own a fish people X

Points 0 of 2 C An account invested in a money market fund grew from 73 387 81 to 73 681 72 in a month What was the interest rate to the nearest tenth Save What was the interest rate Q Do not round until the final answer Then round to the nearest tenth as needed

An accountant for a corporation forgot to pay the firm s income tax of 725 757 78 on time charged a penalty of 7 6 interest for the 45 days the money was late Find the total amount tax and penalty that was paid Assume 365 days in a year The total amount paid was Round to the nearest cent as needed

2 b Subtract 5 from of 23 1 3 of 23 5

d the interest on the following loan 1250 at 7 5 for 3 months interest is und to the nearest cent as needed

37 1 Points DETAILS Match the trigonometric function with one of the graphs I VI f x tan x 2 Select HHH IV NI H TT T X II AN 7 45 5 4 2 771 3m

49 2 Points DETAILS Find the period and graph the function y 5 tan 3 X period rad MMM O 20

59 2 Points DETAILS Find the period and graph the function y 4 tan x period rad ASNA 16

Given the following expectations for return Portfolio S Portfolio B Risk free E r O 0 11 0 18 0 25 0 08 0 14 0 035 01032 psb An optimal portfolio of S and B has been possible 100 or 1 0 What would be th

Given the returns risk and correlation Portfolio S Portfolio B Risk free 0 8104 0 7823 E r O 0 8536 pSB What is the weight of Portfolio B for the min 0 11 0 4 0 065 0 16 0 03 0 41

Knowledge Check The Sugar Sweet Company is going to transport its sugar to market It will cost 4350 to rent trucks and it will cost an additional 150 for each ton of sugar transported Equation Let C represent the total cost in dollars and let S represent the amount of sugar in tons transported Write an equation relating C to S and then graph your equation using the axes below 00 6000 C 3500 5000 Question 1 4500 4000 3300 3000 Michelle

1 Find the domain of the following functions a log x 2 1 log 2 2 b f x log 2 f x 2 3 8 32 2 2 9 f x 2x 523 iri

bers Edit the given code to randomly place the track 1 sound clip on either measure 1 2 or 3 Run the code multiple times to make sure the start measure is being randomly selected 1 from earsketch import from random import randint 2 3 4 init 5 6 setTempo 100 7 insertMedia RD UK HOUSE MAINBEAT 17 1 1 9 10 insertMedia RD UK HOUSE ACOUSTICGUITAR 1 2 1 11 12

Write a in the form a a T aNN at the given value of t without finding T and N r t 9e cos t i 9e sin t j 9e 7 k t 0 a 0 T N Type exact answers using radicals as needed

In the 20th century courses in the US to US and in 1975 the a 6 points Fir years after 195 b 2 points Ho year 2023

How long would it take 1250 to become 5500 if it was invested at 8 7 annual interest compounded continuously In addition to your answer write the equation you started solving this problem with and briefly in a sentence or two describe what you did to finish solving the problem

C 25 1 Points 2 webassign net web Student Assignment Resp A graphing calculator is recommended Graph f g and f g on a common screen to illustrate graphical addition f x sin x g x sin 2x ww 0 6 DETAILS 6 O 6

26 2 Points Graph the three functions on a common screen y x y x y x sin 2 6xx 1 2 2 1 DETAILS O 01 1 2 3 4 5 6 7 O 2 1 0 1 0 1

11 If 2 5 is a point on the graph of y f x what point must be on the graph of y f x Explain

Find all the real and complex zeros of the polynomial P x 2x 5 5x 4 4x 3 4x 2 6x 9

webassign net web Student Assignment Res 15 3 Points DETAILS Find the amplitude and period of the function and sketch its graph y 2 sin 2xx amplitude period f 4 AMA 2 3A A

Business Costs MC A home cleaning service has fixed monthly expenses of 1 276 00 and a monthly profit of 4 135 00 Determine how much revenue is earned for the month if 61 homes are cleaned with variable expenses of 6 45 per home O 1 276 00 O 2 465 55 0 52 859 15

2 Plot two points on the line 3 Click on the side that should be shaded 15 10 or dashed 5 y 1 15 10 5 10 15 15 10

The monthly profit from the sale of x units of a product is P 60x 0 04x2 12 000 dollars a What level of production maximizes profit units b What is the maximum possible profit

If 32 500 is invested at 6 1 for 30 years find the future value if the interest is compounded the following ways C a annually b semiannually quarterly d monthly e daily N 360 f every minute N 525 600 g continuously h simple not compounded

Multiply both sides of the equation by the LCD and solve the resulting quadratic equation Enter your answers as a comma separated list x 7 X X

e amount of airborne particulate pollution p from a power plant depends on the wind speed s among other things with the relationship between p and s approximate p 16 0 01s a Find the value s of s that will make p 0 Enter your answers as a comma separated list S b What value of s from part a makes sense in the context of this application S What does p 0 mean in this application p 0 means there the particulate level is at

Let f x x 4 e 5z a State any values of a where f x 0 b State any intervals of a where f x is increasing c State any intervals of a where f x is decreasing

What is the y intercept of this line X 10 5 0 5 10 15 yl 61 51 41 3 2 1 0

oster form oster form 1 2 et builder form yy is a natural number and y 5 yy is a natural number and y 5 yy is a natural number and y 1 tyy is a natural number and 1 y 4 Choose one the indicated form e to indicate a pattern make sure to list at least the first four elements of the set ilder form x x is a natural number and x 3 0 form 1 2 3 4 r form X 885