Sequences & Series Questions and Answers

How many edges are in the graph below A D 05 4 B

Assume that Sunday is represented as day 0 Monday is represented by day 1 and so on If today is Sunday day 0 determine the day of the week it will be at the end of 141 days Assume no leap years It will be a Tuesday Friday 141 days after Sunday Saturday Thursday Monday Wednesday

Hort the edges in the graph below from least to greatest In applying the Sorted Edges Algorith ircuit which cost would be the first one in the list NOT used e 7 4 a 2 4 3 5 9 b 8 6 10 C

Use the Standard Form and Scientific Notation applet to answer Understand Standard Form and Scientific Notation You are asked to write numbers in scientific notation and standard form Which of the following is true about using the applet Choose the correct answer below OA The applet will not give you numbers that need negative exponents in scientific notation OB The applet asks you to use the symbol for multiplication in scientific notation O C The applet asks you to write 104 as 10E4 OD Once the correct answer is entered you can click a box to see how to change the number to the form required

Fill in the blank with the appropriate word phrase or symbol In the expression 5 7 the 7 is called the In the expression 5 7 the 7 is called the radicand dividend radical

Martin is planning to collect new songs in his iTunes The number of songs in Martin s iTunes collection is modeled by N m 200 15m where m is the number of months What does the number 15 tell you about Martin s iTunes collection O Martin should add minimum of 15 songs in his iTunes collection O Every month Martin removes 15 songs from his iTunes collection Martin currently owns 15 songs in his iTunes collection Every month Martin adds 15 new songs

the graph below which edges are used to form a Hamiltonian circuit using the Sorted Edges Algorithm C 12 5 6 12 13 5 6 11 5 7 11 12 O 5 6 7 11 6 13 B 5

Which of the following describes an Euler circuit for the graph below g b OA B G C F D D OA B C D F E F C G B A OA B G C F D C B A This graph does not contain an Euler circuit d

where Pis the initial amount invested ris the interest rate as a decimal n is the number of times compounded annually and t is the number of years Determine the value of the account if the initial investment is 8 000 compounded annually at a rate of 4 after 5 years 9 761 52 9 733 22 8 320 8 004 est is A A Question 5 3 6 points Consider the function h x 4X 2 Determine the asymptote for the function h x OP 1 O x 2 0 3 0 4 Question 6 3 6 points The function f x 2x 3 is graphed at the right What is the domain of the function f x shown Domain x 3 Domain x 1 Domain x 3 Domain ALL REALS 90 fix 2 3 1 4 12 Asymptote y 3

P x 5 P x log 5 p x logs x P x log 5x OP x log x Question 15 3 6 points Find the inverse of the following y log x 8 13 8 13 07 13 8 O 138 1 owing function Question 16 3 6 points What is the asymptote of g x log4 x 1 2 shown in the graph 0 1 07 3 14 2 2 1 w

If the original exponential function defined by y 0 how would it change i G y The exponential function would move up 6 The exponential function would move down 6 The exponential function would move right 6 The exponential function would move left 6 Question 9 3 6 points Rewrite the exponential equation as a logarithm Oh x 8 O h 3 were graphed instead log x e Olag 8 Question 10 3 6 points Rewrite the logarithm as an exponential equation 2 log x 03 x 03 2 0 7 O2 3 Question 11 3 6 points Simplify log 216 36

a Given 2 points 1 5 and 2 10 find the equation of the exponential function f x b x that is find a and b

Consider the parent function f x 4 How would the original graph be transformed if it were to be changed to f x 4 2 The graph would be translated right 1 and down 2 The graph would be translated left 1 and down 2 The graph would be translated right 2 and down 1 The graph would be translated left 2 and down 1 Question 4 12 5 points Consider the graphs of the following functions 3 2 1 Of x 1 2 3 O 1 x 1 f x 2 3 3 Which function below is equivalent to g x based on the graphs 2 g x

Consider the 2 polynomial functions below Function 1 f x 543 f x Function 2 g x 31 g x Which comparison of the two functions is the most accurate Both functions have the same y intercept Both functions have the same number of local maximums Both functions have the same number of zeros Both functions have the same end behavior

The function f x x 6x 9x 3 is graphed at the right As x determine f x i e As x approaches infinity what does f x approach f x o f x co f x 3 f x 3 A f x x 6x 9x 3

Jane is 1 4 as old as Damian In 1 year Jane s age will be 2 years less than 1 3 of Damian s How old are Jane and Damian now

x 1 0 trapezoidal rule Round the final result to five decimal places Estimate the value of J C a 1 40385 b 2 20769 c 2 d 1 10385 dx by using n 4 subintervals of equal width using th

Find the average value of f x O O O a In10 2 b In10 3 c In10 6 d In10 1 6 c 6 X 2 x 1 over the interval 0 3

Find the 15 th partial sum of the arithmetic sequence a n 4n 3

The graph of g x 2 3 2 is shown below As x approaches infinity x what does g x approach g x 2 g x 3 g x 8 x co g x co

Which linear function below is increasing at the fastest rate Y 5 4 O a x Ob x Oc x d x 5 4 3 2 7 2 3 A 5 b x 3 c x d x 4 5

An airplane travels due South from city A to city B a distance of 85 miles as shown in Figure 2 Then it makes a 37 turn in the direction toward the East and travels 105 miles in the direction toward city C Figure 2 85 mi B 37 105 mi Show all work in excruciating detail Round off correctly to the closest 10th a Find the total distance of the direct flight from city A to city C b Find the correct bearing to city C at city A

A wedding planner is preparing a wedding reception dinner and has determined that the overall cost will require 25 for each guest that attends and a maximum of 200 guests This situation can be represented by c x 25x where x is the independent variable and represents the number of guest and c x is the dependent variable and represents the cost of the reception Which correctly describes the DOMAIN of this situational function The domain is a DISCRETE variable The domain is a CONTINUOUS variable The domain is a DEPENDENT variable The domain is an INFINITE variable

Given x can be described by the set of points 2 1 1 2 0 2 1 3 2 3 what is the RANGE of f x 1 2 3 2 1 0 1 2 2 1 0 1 2 3 0 1 2 3 Question 3 14 28 points Given x can be described by the set of points 2 1 1 2 0 2 1 3 2 3 what is the DOMAIN of f x 1 2 3 2 1 0 1 2 2 1 0 1 2 3 0 1 2 3

A population of squirrels doubles every year Initially there were 5 squirrels A biologist studying the squirrels created a function to model their population growth P 1 5 2 where t is time The graph of the function is shown P t 5 2 5 100 80 60 40 20 2 5 5 7 5 10 Which of the following describes the RANGE of the function any real number any whole number greater than 0 any whole number greater than 5 any whole number greater tha

Which function of the form f x b below shows exponential GROWTH O O 5 4 3 2 1 17 2 3 5 4 3 2 2 7 2 3 21 g x 2 f 2 54 3 2 1 p x 22 7 h x 2 12 1 2 3 4 1 4

The graph of the linear function x is shown below st 6 O x 3x 9 x 3x 3 Ax x 3 54 3 2 1 x x 9 5 4 3 2 1 4 3 27 F1 ME FI 2 Which function correctly describes the graph shown 34 5 2 f x

Find the best fitting curve of each type below for the given data 2 6 1 0 1 8 2 17 a Parabola y ax bx c b Exponential function of the form y a b 2

Find the surface area of the figure below Round to the neare 10ths 11 ft 3 ft 10 ft 9 ft

Solve y 5cosx 3x 6e 0 7 a y 5sinx b y 5sinx d y 5sinx 3x 1 given that the solution passes through the point 3x 20 3 c y 5sinx 3x3 26 349 9 9 12 2x 2 26 x 5 De 3 2 26 3X 3X 5

Use the method of corners to solve the linear programming problem Maximize P 4x 2y subject to The maximum is P x 2y 12 x y 8 3y 6 x 0 y 0 2x at x y

crosses the x axis or touches the x axis and tur f x 8 x 1 x 7 3

Evaluate the following limit lim 2x 1 5 cotx X 0 O O a lim 2x 1 5cotx e5 x 0 b lim 2x 1 5cotx 10 X 0 c lim 2x 1 5 cotx e10 x 0 d lim 2x 1 5cotx 5 x 0

Determine all the vertical asymptotes of f x O O a x 2 b x 3 C x 4 x 2 d 2 O 3 X 4 3x 14x 8 X 2x 8

Find the exact value of tan tan tan 45 28 sin 45 28 sin 84 85 85 In the answer box above type an exact answer only i e no decimals You do not need to fu simplify reduce fractions rational expressions and radical expressions

rice 16 gigabyte memory sticks are displayed on the graph Price p 600 560 520 480 440 400 360 320 280 240 200 160 120 80 40 0 10 16 gigabyte Memory Sticks from Tech Guys If n stick 20 140 70 385 50 275 120 600 100 500 30 50 70 90 110 130 Number of Memory Sticks n Select True or False for each statement about the graph 100 then 5 00 is the cost of each memory If n 100 then 5 00 is the cost of each memory stick If 50 n 100 then 5 50 is the cost of each memory stick If 0 n 50 then 7 00 is the cost of each memory stick X 150 True False O O O O

Which of the following equations could be written such that y is a function of x O Or x Ox y 0 2 Question 2 20 points Which of the following data sets of ordered pairs is the only one that could represent a function 2 1 4 3 3 5 5 2 3 1 3 5 3 2 3 1 3 7 3 2 O 5 2 4 2 7 2 8 2 4 2 9 1 1 9 3 6 6 3 6 1 Question 3 20 points If 12 4 12 20 which function gives f x f x 4x Ax 12x f x 4x 20 O fx 12x 20

termine the reactions to the structure w2 200 lb ft w1 100 lb ft 15 ft 4000 lb 5 ft

testid 249611131 centerwin yes 2023 e cards are chosen at random from an ordinary deck to form a hand in p a How many ways is it possible to choose 4 sevens ways b How many ways is it possible to choose no face cards Question There are

2 Janet and David Scott bought 1 500 shares of Metro Health Care MHC at 84 92 per share The broker s commission was 14 95 for fewer than 1 000 shares or 0 015 per share for 1 000 shares or more Complete the following problem 3 Linda and Martin Sonoma purchased 300 shares of Hampton Publishing at 31 94 per share and 150 shares of Company R at 29 19 per share The broker charged 19 95 for each transaction What was the total paid

10 Which is the greatest number in the following set 2 2 6 6 6 6 06 6 O 6 06 0 6 23 6 7 5 O 6 6

4 Which of the following symbols will make a true sentence when inserted in the blank 4 0 26 15 O O X

Damon is savi 5064 If he i answer to two Answer

A Plus taxi service charges 6 initially and 2 per mile Luxury taxi service charges 4 initially and 2 50 per mile If x the number of miles and y the cost of each taxi cab fare which system of the graphs below best represents the situation Cost 18 16 14 K 12 10 8 6 22 20 2258 18 16 14 12 10 8 6 22 20 18 16 14 12 10 8 6 4 2 22 20 18 16 14 12 10 6 Cost N Cost Cost C 23 16 11 miles 56 78 no 8 milos the following milos les

Calculate XKYK for the n 5 data points x V 1 3 x 2 5 X3 Y3 3 8 x4Y4 4 10 and k 1 X5 Y5 5 14 XKYK Simplify your answer

Write an expression of the type A log x B or A log x B for the transformed logarithmic function shown below 6 5 f x 4 3 2 1 6 5 3 2 1 4 2 23 7 5 5 3 6 1 6 Hint Lleo the vertical asymptoto to find To solve for use a point on the graph and substitute the

The following function is one to one Find the inverse of t

4 13 Find the probability that event A or B takes place A 6 13 B DO 13 P A or B w w Enter

The diagram below represents an experiment consisting of two independent trials Find P A and D C VIN 517 A B 21313 213 P A and D D C D

Use the method of Frobenius to find a general formula for the coefficient an in a series expansion about x 0 t solution to the given equation for x 0 x y 3 x x y 3y 0 What is the general formula for the coefficients OA anao OB anao 4 3 n 4 n 4 41 3 3 n 4 n 4 OC anao7