Sequences & Series Questions and Answers

Question 5 Choose the correct translation of the following int 40 cubic centimeters less than triple the volume Where V volume cubic cm O 403 3V 4000 40 3V 4000 OV3 40 4000

Find a polynomial p of degree 3 so that 3 89 4 186 2 6 4 86 then use your polynomial to approximate p 2 p x 0

Moving stion 12 Tother question ve this respo Choose the correct translation of the following into s 8 times quantity 60 inches less than the radius Where the radius feet O 8 60 r O 8 x 60 r O 8 r 60 O 8 5 r

Let T VV be a linear transformation Suppose v EV and y EV satisfy T v X and T y X y for some XX in F Prove that y v 0

The student activities office has four students who work part time on a work study program Three of the students work 15 hours per week 19 hours per week and 14 hours per week The office policy is that the average number of hours students work per week in the student activities office is less than 16 5 hours What is the restriction for the number of hours that the fourth student can work The fourth student can work less than hours

Divide and simplify 250x y 2x y Select one True False 5x x y

Ex The force F needed to break a board varies inversely with the length of the board If it takes 24 lbs of pressure to break a board 2 feet long how many pounds of pressure will it take to break a board that is 5 feet long

point The graph of y f x is given below A 1 0 B 2 1 1 1 C 5 0 X n a piece of paper sketch the graph of y f x 1 and determine the new coordinates of points A B and C n a piece of paper sketch the graph of y f x 2 and determine the new coordinates of points A B and C

For the function f x cot x 3 2 find the following a The stretching factor b The period c The domain x x d The range e The vertical asymptotes m k where k is an Select an answer

8 The graph of f x is given Sketch the transformed graph of y f x on the blank set of axes provided below 10 8 6 4 2 10 0 6 4 2 2 F 4 6 8 10 2 4 6 M 8 10 10 8 6 2 10 8 6 4 2 2 4 6 8 10 6

A poll conducted in a country found that 66 of adults believe that fake news is causing confusion about basic facts current issues and events Suppose that the researchers are 99 confident that the result from the poll is off by few than 1 1 percentage points from the actual percentage x of adults who feel this way Express this situation as an inequality involving absolute value then solve the inequality for x to determine the interval in which the actual percentage is likely to fall Note In statistics this interval is called a 99 confidence interval Express the situation as an inequality involving absolute value Use integers or decimals for any numbers in the inequality

y 2sin 2 3 x Give the exact values not decim

equation Definition Every point on the line has meaning Ask yourself if fractions decimals are okay Continuous Functions MULTIPLE CHOICE QUESTION What does H x represent Height Writing the Domain D R

The one to one functions g and h are defined as follows g 8 5 4 8 1 3 4 7 h x x 13 7 Find the following n 1 4 0

Which of the following series converge a k 1 1 b Ex 1 41 c EK 1 8 2 3 Find the volume of the resulting solid of revolution of the region bounded by y 2 x 56m 53m 28m 3 3 ne t 2y 1 with 0 x 2 d Ex 1 2 2 3 k 41 y 0 and x 0 about y 3 14m 3

For the given function tox the point e and a positive number find L im fix Then find a number 60 such that for all x 0 x c 6 x Le THE f x 9 x c 7 0 5 L Simplity your answer What is the largest possible value for 87

Price Quantity Demanded Income 1 000 24 20 16 12 8 4 0 55 1 36 0 73 135791 0 40 Quantity Demanded Income 2 000 470369 10 13 16 19 Refer to the Table Using the midpoint method at a price of 8 what is the income elasticity of demand when income rises from 2 000 to 3 500 Quantity Demanded Income 3 500 8 12 16 20 24 28

Assignment Online Quiz 4 Quest X wkeslearning com Portal Test Test Take Test lent X Question 8 of 10 Step 1 of 1 An atom of gold has a mass of approximately 3 25 notation Answer 2 Points X

ind the sum of the series if it converges If it diverges say so and explain 2 1 1 1 n 2 n 1

110 pg 56 Nam nd state all the characteristics f x 4 1 5 x 1 4

Why can t a system of lincar equations have exactly s solutions where s is an integer strictly greater than 1

We know that sin sin choose all the other functions where the function of negative angle produces a negative result Select one or more a cosecant b secant c tangent d cosine e cotangent

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

Given the expression sin 0 1 cos Fill in the equivalent expression using constants and cosine

K The postal service of a country charges 0 39 postage for a letter weighing up to 1 ounce plus 0 26 for each additional ounce up to 5 ounces Letters weighing more than 5 ounces do not qualify for these rates a Write a piecewise defined function C for the postage charged for a letter weighing x ounces 0 x 1 1 x 2 C x f2 x 3 113 x 4 4 x 5 b Graph the function Choose the correct graph below OA OB AC 1 43 1 17 50 91 50 65 0 10 390 Q a AC 1 30 HK Q 1 04 10 78 10 52 m 10 396 194 OC Mr Q OD AG 1 30 1 04 10 78 0 52 50 324 He quiz Q

lined function is given Write a definition for the function that best describes this graph Type the left piece of the function Type the right plece of the function CA point s possible P 304 0 0 Ay

a Draw the graph of y f x b Draw the graph of y f x 5 9 is illustrated in the figure below 2 9 Q 4 Score 91 31 36 52 of 40 points O Points 0 of 1 V Choose the correct graph of y f x below OA OB O C W A OD M

n polynomial based on the degree and the 3x 4 2x 3 5x 2 6x 12 standard form

The graph of a function f is illustrated to the right Use the graph off as the first step toward graphing each of the following functions a F x f x 2 b G x f x 2 c P x f x d H x f x 2 1 e Q x f x g h x f 2x c Choose the correct graph of P x f x below SOA OB 6x do 3x 6x Q P 1 g x f x 3x 3x 6x Q G www O C 3xx 3x 53 O D 6x 3x 6x 3x Q Q

Find the value of k that makes the function f continuous on Justify your answer Jkx if x 2 3 if x 2 f x

10 Each formula below is used to determine a length an area or a volume Each variable represents a length Identify which kind of measurement the formula is used for length area or volume Explain how you know without using a table of formulas c s h ws2 b b 2 a d d b 2 rh 4 r Ir r 2 2 h d S1S2 S153 54 e f 2R r 2

23 WATER TOWER The following water tower is consists of a cylinder with a hemisphere on top If the tower is filled with water to the top of the cylinder how many gallons of water will it hold 10 0 ft

Solve each equation or inequality Check your solutions y 5 3 5 1 O all positive real numbers except 5 O all real numbers except 5 O all real numbers

Solve each equation or inequality Check your solutions 3x 2 x O O in 100 2 3 8 528 05

SPRINGS The length S that a spring will stretch varies directly with the weight F that is attached to the spring If a spring stretches 20 inches with 25 pounds attached how far will it stretch with 15 pounds attached 33 3 in O 18 75 in O 12 in O 20 in Question 7 1 pts

If y varies directly as z and inversely as x and y 10 and z 5 when x 12 5 find z when y 37 5 and x 2 0 3 12 06 14 5 pts Question 5 1 pts

State whether each equation represents a direct joint inverse or combined variation Then name the constant of variation p 4s joint 4 O direct 4 inverse 4 O combined 4 M

Plane Pl1 is the plane containing the three points A 1 6 6 B 2 3 5 and C 2 3 5 Plane Pl2 is the plane containing the three points D 1 1 2 E 4 3 4 and F 2 5 4 Find the smaller dihedral angle in degrees between the planes Pl1 and Pl2 O a 79 O b 26 O c 81 O d 53 28

Ages Number of students 15 18 19 22 23 26 27 30 31 34 35 38 8 4 3 8 5 4 Based on the frequency distribution above find the cumulative frequency for the class with lower class li 31 Cumulative Frequency Enter an integer or decimal number more Give your answer rounded to one decimal place

In the unit circle shown what are the coordinates of B 30 Select one O a 1 2 1 2 O b 1 2 3 2 Oc 3 2 1 2 O d 2 2 2 2

10 Find the equation of the line passing through the point 6 4 that has an undefined slope 2 points vertical ling

Find the standard form of the equation of the circle with endpoints of a diameter at the points 5 6 and 1 2

9500 is invested part of it at 11 and part of it at 6 For a certain year the total yield is 865 00 How much was invested at each rate was invested at 11

5 Find each of the following values Your answers MUST be in simplest radical form 5 tan 0 csc 0 sin y cot y 0 30 Y

38 F x y yi xj C counterclockwise along the semicircle y 4x2 from 2 0 to 2 0

riscilla is planning to hike a new trail this weekend She sets up camp Friday wening at the start of the trail which begins at an elevation of 184 56 ft and nds at an elevation of 759 22 ft She plans to begin her hike in the early morning nd wants to travel of the change in elevation of her trip on Saturday then set O camp until the next morning What is Priscilla s starting elevation on Sunday

A meteor crashed onto a planet and caused a crater that was 624 542 yd deep Use the table of facts to find the depth of the crater in inches Round your answer to the nearest tenth Conversion facts for length 12 inches in 1 foot ft 3 feet ft 1 yard yd 36 inches in 1 yard yd 5280 feet ft 1 mile mi 1760 yards yd 1 mile mi

Find the length of an arc of a sector if you are given a central angle If the central angle is 24 and the radius is 11 inches what is the length of the arc First draw the circle and the sector When highlighting the arc observe it is a fraction of the whole circumference The fraction of the circumference is the central angle divided by the degrees of a circle central angle degrees in a circle Next multiply by that fraction by the total circumference Round to the nearest tenth Select one a 9 2 O b O C d 0 35 None of these 4 6

The angle 750 rotates times around the origin full

What is the measure in degrees of the angle A 5 3 Select one O a 90 O b 30 O C 300 O d 120