Sequences & Series Questions and Answers

Find the products in simplest form 8 5 K 21 16

5 Which expression is equivalent to 2 5 O O O O 1 2 12 28 O 215

4 Fran is working on a word puzzle and is looking for four letter scrambles from the clue word calculate a How many of the possible four letter scrambles contain four different letters b How many contain two as and one other pair of identical letters c How many scrambles consist of any two pairs of identical letters d What possibilities have you not yet taken into account Find the number of scrambles for each of these cases e What is the total number of four letter scrambles taking all cases into account

What is the quotient of O 256 2 01 256 24 244

What is the product of 3y O co 6 6 16 3y 2y 1 B16

3 3 points Suppose A is a 3 x 3 matrix Which of the following matrices is an elementary matrix E such that th operation EA adds 4 x row2 to row3 of A 1 0 0 a E 0 1 0 0 4 1 100 b E 0 1 4 c E 1 0 0 01 0 40 1 d E 0 1 0 14 e E B

Simplify 10 2 10 O 100 000 O 12 18 O 100 000 DONE

Sketch a cylinder with radius 7 feet and height 5 feet then find the total surface area using the formular SA 2nr 2nrh ft2

What is the lateral surface area of the triangular prism below 5 cm 4 cm 5 cm 7 cm 3 cm 4 cm 24 cm 108 cm 7 cm 84 cm 112 cm

5 4 3 2 Domain Range 3 2 2 3 Ist O

sketch the region bounded by the curves y 6 and y 623 then set up the integral needed to find the volume of the solid generated evolving this region about the z axis using the shell method 2y du dy 2TY 2ny 2rz 62 6 2 dz 1 D O my 10 08 du dy

Question 10 of 10 The number of fish in a lake can be modeled by the exponential regression equation y 14 08 2 08 where x represents the year Which is the best prediction for the number of fish in year 6 Round your answer to the nearest whole number OA 176 OB 1140 O C 1758 OD 81

21 Automobiles owned by two people are one of the most commonly eligible vehicle ownerships A True B False

Question 2 25 points Which most appropriately describes the following function shown below 5 f x 2 54 3 2 1 3 1 2 3 4 5 The function f x is an EVEN function The function f x is an ODD function The function f x is neither an EVEN nor an

4 Question 4 25 points The function w x x 3x is shown in the graph The function w x has what type of symmetry 5 4 3 2 1 S 4 3 2 T 2 3 w x 2 3 4 5 Symmetric with respect to the x axis O Symmetric with respect to the y axis O Symmetric with respect to the Origin O The function doesn t have any of these types of symmetry

2 2 43 1 Date This is a 2 page document Directions Classify each function as an exponential growth or an exponential decay 3 y 5 1 y 8 4 y a b 16 5 5 y 3 5 Directions Graph each function using a table of values then identify its key characteristics 30 6 y 2 1 XIY 29 Z 0 1 12 21114 1 3 5 5 4 3 1 5 3 1 5 3 5 XIX 24 9 4 7 4 2 Bell 210 2 4 3 2 y Homework I y X X Growth Domain Range 20 y intercept Co 17 y 0 Asymptote Growth Decay Domain Decay Range y intercept Asymptote Domain Range Growth Decay y intercept BR 47 5 Acumulator 1 0 y 5

Find all zeros of the polynomial function f x x 4x x 8x 6 O O x 3 x 2 x ti x 1 x 2 x 3 x 1 x 3 x x 2 x 1 x 2 x 3

Question 5 20 points Use the graph of g x x 4x 4x to identify the values of x for which g x 0 and to factor g x O O O x 0 x 2 g x x x 2 4 3 2 x 1 x 2 g x x 2 x 1 x 2 x 1 g x x 1 x 2 g x 5 31 21 5 2 3 A 4 5

orn to make the following statement true 22 24 0 12 20 22 24 he blank to complete the statement below 22 24 0 12 20 22 24

Question 4 of 21 ert nor U to make the statement true 10 16 10 9 11 10 Dose the correct answer below A n B U C U orn

9 Of all the pairs of real numbers that add to 101 which pair has the greatest produc Type a response

Solve the following exponential equatic 5 x 1 1 Select one a 1 b 1 C 0 d 1

Graph the solution set of the inequality wher 2x 7 AY 29

K Graph the equation by plotting points y x 5

Find a4 when a1 3 and r 2 Select one a 16 b 24 C 24 d 16

f x 4x 9x 9 x f 3 Simplify your answer

Test aspx testid 2490655 ra Spring 2023

K A worker invested 26 000 in two accounts one yielding 8 interest and the other yielding 10 If he received a total of 2220 in interest at the end of the year how much did he invest at 8 The amount invested at 8 was

Jonathon and Samantha row their canoe 42 miles downstream in 3 hours After a picnic they row back upstream After 4 hours they only travel 16 miles Assuming that they canoe at a constant rate and the river s current is constant find the speed at which Jonathon and Samantha can row in still water The speed at which Jonathon and Samantha can row in still water is miles per hour

YA Use the graph of the function f to determine where the function is domain range x f x

Let E be a point on the segment AB Further let C and D be another 2 points o one side of AB such that AE AD BC BE and BC AD Find Z CED D A C B

Identify the explicit function for the sequence in the table X 1 23 4 5 O A a n 8 n 1 OB a n 6 n 1 O C a n 6 n 1 8 OD a n 8 n 1 6 y 8 14 20 26 32

Given y A sin B x C D thoose the statement that is NOT true elect one a The red graph is y sin x The phase shift for the blue graph is x 1 2x 1 Ob The vertical phase shift of y 3sin 5x 6 is 5

Choose all the expressions which are equivalent to cos Select one or more a sec 1 sin 0 b cos 0 1 sin c sin cos tan cot d sec tan sin

Which angle is closest to 4 5 radians Select one a 100 Ob 300 O c 45 O d 250

What is the value of sin 3 2 cos 2 3 is Hint use the unit circle Select one O a 1 2 Ob 3 2 c 3 2 Od 1 2

Dividing sin cos 0 1 by yields 1 cot csc 0

Which of the following values are a solution to sin 20 cos for 0 s0s 2 t Select one or more a 3 2 Ob 00 C d 7x 6

The sum of the first n tern 1 r S d 1 2 a

n 4 ed out of Find a6 when a Select one a 64

V n 2 ed Quiz 3 6 If the given sequence is a geor 64 32 16 8 4 2

Radioactive decay follows A Exponential growth pattern B Linear growth pattern Select one a A Ob A B None O c O d B

For which equation is the value of e in radians a positive value Select one a sin b 3 2 sin 1 C tan 0 d cos 3 3 1 2

Jika sisa pembagian x 2023 x 2012 x 116 Oleh x 2 adalah ax b maka niai dari 3a 4b adalah

What is the function represented by the blue graph 4x 3 1 Select one 3 1 a y cos x b y cos x 5 C y cos x 2 d y cos x 5 0 2 2x 3 1 2

20 marks The subspace has bases U p x P3 R p 0 p 1 0 8 1 2x 1 2x 1 2x and 6 1 2x 2x 2x 1 2x2x 2x 1 2x 2x 2x

Which best describes the types of zeros for the polynomial function f x f x x 7x 7x 15 2 18 16 14 21 2 1 real and 2 imaginary 3 real O2 real and 1 imaginary O3 imaginary f x x 7x 7x 15 2 6 Question 2 25 points Saved A polynomial equation has roots at x 1 and x 2i What is the minimum degree of the 7 X

1 Consider the sequence a 2 3 1 a2 2 3 1 2 3 5 a4 243 13 an 2 3 1 defined for positive integers n Which elements of this sequence are divisible by 5 Wh about 13 Are any elements of this sequence divisible by 655 13 Why or why not

The solubility of nitrogen gas N in water at 25 C and 79 03 kPa is 475 M Calculate the solubility in uM of N at 47 76 kPa Report your answer to 3 significant figures without the unit Example answer format 500

For each of the following i Determine 3 key points on the new graph and sketch y label the vertex and axis of symmetry