Inverse Trigonometric functions Questions and Answers

control tower Round your answer to the 9 A temporary ramp that is 15 feet long is placed to reach an entrance door that is 4 feet above the ground What is the angle of elevation of the ramp Round your answer to the nearest tenth in a tree stay upright If the

8 intercept 4 liot y intercept 0 12 8 4 8 a Use the graph to identify the x and y intercepts of the graph Note the scale on each axis since they may not be the same 12 16 0

16 i leminde her harf s f r n ASLAN Karkl birer rakam g stermektedir d nda KLM LMK MKL 999 K L M oldu una g re K nin en b y k de eri ka t r A 5 ED AN HOCA B 6 C 7 D 8 ASLAN E 9 439

Find the total income produced by a continuous income stream in the first 10 years if the rate of flow is given by the following function where tis time in years f t 2500 How much was earned over 10 years

A random variable is defined as a process or variable with a numerical outcome Which of the following are random variables a The amount of snow in inches that will fall next winter in Aspen Co b The job of a randomly picked person that is taking the subway c The number of movies that will be released next week by your local movie theater Oc only a and c Ob and c Ob only O a b and c O a only

Listen Complete the truth table for the given statement by filling in the required columns PAq P T T F TITI F 1 9 T F TF T F P T T F F P 9 T F T F PAq wp F F T T PAq F T T F

Complete the truth table for the given statement by filling in the required columns p q P T T F F LL O 1 9 T FT F FL P T T F LL L p ST T FT L p q p F F T T p q F T T F

The demand for a new computer game can be modeled by p x 55 6 In x for 0 x 800 where p x is the price consumers will pay in dollars and x is the number of games sold in thousands Recall that total revenue is given by R x x p x Complete parts a through c below a Find R x R x

4y 4y Question 20 of 20 Simplify by taking roots of the numerator and denominator Assume that all expressions under the radicals represent positive numbers 0 This test This quest FOLLO

Prove the given identity tan x sec xcsc x cot x Choose the correct proof below O A O C tan x sec xcsc x 1 sin x COS X sin x cos x cot x 2 1 sin x sin x cos x 2 COS X 1 cos x sin x tan x sec xcsc x sin x COS X sin x cos x 2 1 sin X sin x cos x 2 COS X cot x Question 7 of 20 www OB tan x sec xcsc x sin x COS X 2 1 sin x sin x cos x 2 COS x sin x cos x cot x OD tan x sec xcsc x 1 sin x cos x 1 sin x This te This qu sin x cos x 2 COS X sin x cos x cot x cos x sin

What is the present worth of the following at 6 interest Initial investment 125 000 Annual revenue 50 000 Annual expense 25 000 Salvage value after 8 years 22 000 a 44 048 Ob 294 048 c 44 048 Od 294 048

What is the break even in the following situation in terms of of pieces Fixed cost 4 000 000 Sales price 10 00 Variable cost 3 60 O a 575 000 Ob 625 000 O c 658 000 Od 695 000

Verify the identity tan 0 cos 0 sin 0 Which of the following four statements verifies the identity A tan 8 cos 0 cos 0 sin 0 OB tan 8 cos 0 sin 0 OC tan 8 cos 8 OD tan 0 cos 8 sin 8 cos sin 8 cos cos 0 sin 0 sin 0 cos 0 cos sin 0 sin 9 cos 0 sin sin 0 0 sin 8 cos 0 cos 0 sin 0 cos cos 9 0 sin 9 sin 8 sin 8 sin 8

3 Find the exact value of 2 sin x cos x 2 sinx cos x sin 2x Questio 2 sin x cos x 2 sin x cos x sin 2x Simplify your answer

Verify the identity sec 0 sin 0 tan 0 Which of the following four statements verifies the identity OA sec 0 sin 0 1 cos 0 OC sec 0 sin 0 cos 0 OD sec 0 sin 0 OB sec 0 sin 0 sin 0 sec 0 sec 0 cos 0 sin 0 cos 0 sin 0 sin 0 cos 0 cos 0 sin 0 cos 0 sin 0 sin 0 cos 0 tan 0 tan 0 tan 0 tan 0

Verify the identity csct 1 cott OB Choose the sequence of steps below that verifies the identity O A csct 1 csct 1 csct 1 csc 1 1 cott csct 1 cott cott csct 1 O C O D cott csct 1 csct 1 cott csct 1 cott csct 1 cott csct 1 cott csct 1 cott csct 1 cott csct 1 csc 1 1 csct 1 cott csct 1 cott csct 1 csct 1 csct 1 csct 1 csct 1 csc 1 1 cott csct 1 csc 1 1 cott csct 1 BE cot t cott csct 1 cot t cott csct 1 cot t cott csct 1 cott csct 1 cott csct 1 cott cot t cott csct 1 csct 1 cott csct 1

y values 9 8 7 6 5 4 3 2 7 3 2 x values If f x g h x then f 1 V 4 5 a y values 5 4 3 2 1 h x 2 3 x values 4 5

If a person s eye level is h meters above sea level and she can see d kilometers to the horizon then d 3 57 h Suppose the person s eye level is 5 29 meters above sea level How far can she see to the horizon Round your answer to the nearest tenth 0 kilometers X S

On a given planet the weight of an object varies directly with the mass of the object Suppose that an object whose mass is 7 kg weighs 21 N Find the weight of an object whose mass is 4 kg N olo

Estimate 2135 531 by first rounding each number so that it has only 1 nonzero digit C

Estimate a 15 tip on a dinner bill of 57 17 by first rounding the bill amount to the nearest ten dollars Estimated tip X

For a moving object the force acting on the object varies directly with the object s acceleration When a force of 12 N acts on a certain object the acceleration of the object is 3 m s If the force is changed to 20 N what will be the acceleration of the object 0 m s 2 Olo

Estimate 395 x 57 by first rounding each number so that it has only 1 nonzero digit 0 X

Estimate 6249 26 by first rounding each number so that it has only 1 nonzero digit m

Linda had 90 fliers to post around town Last week she posted posted fliers 64 J N of them This week she posted of the remaining fliers How many fliers has she still

There are 45 new houses being built in a neighborhood Last month houses are left to be sold 0 houses 00 1 4 of them were sold This month of the remaining houses were sold How many

3 2 points Let 2 be the piece of the plane z y 1 inside the cylinder x y 1 oriented upward Hint use cylindrical coordinates to parameterize Compute each of the following a The surface area of N b The average value of g x y z z on n c The flux of F x y z yi zk through

8 Book Hint Print erences A manufacturer reports the data below Accounts payable Accounts receivable Inventory Net sales Cost of goods sold Required 1 Current Year 9 023 29 905 1 Compute the number of days in the cash conversion cycle for each year 2 Did the company manage cash more effectively in the current year Required 2 11 324 163 000 79 000 Complete this question by entering your answers in the tabs below Cash conversion cycle Prior Year 12 968 18 752 10 815 110 000 116 000 Compute the number of days in the cash conversion cycle for each year Note Use 365 days in a year Round calculations to the nearest whole day Current year days Prior year days

he accompanying data table contains chest deceleration measurements in g where g is the force of gravity from samples of small midsize and large cars Shown are the technology results for analysis of variance of this data table Assume that a researcher plans to use a 0 05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test Complete parts a and b below Click the icon to view the table of chest deceleration measurements Click the icon to view the table of analysis of variance results a What characteristic of the data specifically indicates that one way analysis of variance should be used OA The population means are approximately normal B The measurements are categorized according to the one characteristic of size OC There are three samples of measurements OD Nothing specifically indicates that one way analysis of variance should be used More Info SPSS Results Sum of Squares DOO DET df Mean Square 100 100 F 2 299 Sig 0 061 comme X More Info X

The accompanying table gives amounts of arsenic in samples of brown rice from three different states The amounts are in micrograms of arsenic and all samples have the same serving size The data are from the Food and Drug Administration Use a 0 05 significance level to test the claim that the three samples are from populations with the same mean Do the amounts of arsenic appear to be different i the different states Given that the amounts of arsenic in the samples from Texas have the highest mean can we conclude that brown rice from Texas poses the greatest health problem Click the icon to view the data What are the hypotheses for this test OA Ho H H2 3 H At least one of the means is different from the others B Ho At least one of the means is different from the others H H 3 OC Ho H1 H H3 H1 H H H3 OD Ho H H2 H3 H H H H3 nic Amounts X

11 MP Justify Conclusions Rowan found that 4 out of 28 students in her class bike to school What is the ratio of students that bike to school to the number of students that do not bike to school Write an argument to defend your solution

What is 100 26 written as a a percentage b a decimal

3 5 Book Print erences Check my work Prepare a flexible budget performance report for July at activity level of 7 260 units Show variances between budgeted and actual amounts Note Indicate the effect of each variance by selecting favorable unfavorable or no variance For Month Ended July 31 Sales Variable costs Direct materials Direct labor Indirect materials Sales commissions Total Variable Costs Contribution margin Fixed costs Depreciation Machinery Supervisory salary Insurance Depreciation Office equipment Administrative salaries Total Fixed Costs Income NINA COMPANY Flexible Budget Performance Report Flexible Budget 7 260 units 24 43 27 9 103 0 Actual Results 7 260 units 0 Variances 2 624 000 Favorable or Unfavorable 20 E marks

A sample of bacteria is decaying according to a half life model If the sample begins with 900 bacteria and after 10 minutes there are 360 bacteria after how many minutes will there be 40 bacteria remaining When solving this problem round the value of k to four decimal places and round your final answer to the nearest whole number

8 of 13 The triangle in the figure may require the law of sines or the law of cosines Choose the appropriate method and solve the triangle A 45 b b A 5 C Use decimal notation Give your answers to two decimal places where needed Include the degree symbol in your answers where needed If two solutions exist enter one solution and either will be counted as correct Enter DNE if the triangle has no solution 30

The triangle in the figure may require the law of sines or the law of cosines Choose the appropriate method and solve the triangle A 5 B B b 8 Use decimal notation Give your answers to two decimal places Include the degree symbol in your answers where needed If two solutions exist just pick one and either will be counted as a correct one Enter DNE if the triangle has no solution 14

Macmillan Learning Solve the triangle which is a case of SSA A B B 45 10 Use decimal notation Give your answers to two decimal places Include the degree symbol in your answers where needed If two solutions exist enter one solution and either will be counted as correct Enter DNE if the triangle has no solution 116

on Macmillan Learning Solve the triangle which is a case of SAA 60 C 60 b C 9 Give exact answers Use symbolic notation and fractions where needed Include the degree symbol in y where needed

K Find the linear equation whose graph passes through the given points Write the equation in slope intercept form 1 4 and 2 8 Identify the appropriate problem solving method Choose the correct answer below A The Three Way Principle B Relate a New Problem to an Older One OC Try a Simpler Version of the Problem O D Be Systematic Write the equation of the line in slope intercept form The equation is y Simplify your answer Type an expression using x as the variable

A sample of size n 10 is drawn from a population The data is shown below 115 8 122 2 132 7 114 109 9 92 4 115 6 106 3 132 7 132 7 What is the range of this data set range What is the standard deviation of this data set Round to 2 decimal places stdev

The science club at a large middle school has 25 members The members want to survey a sample of 125 students to estimate the percentage of all students at the school who plan to submit a science fair project Each member of the club asks 5 friends the following question Will you be submitting a project to the science fair this year Of all the friends 76 percent replied with a yes Which of the following is a reason why the sample selection method described is NOT fair O A The club members did not survey every student at the school B A sample of 125 students is too small to be representative of students at the school O C The percentage of students who plan to submit a project is not equal to 50 O D The club members only surveyed their friends so the sample is not likely to be representative of the students at the school

sec x csc X sin x sec x cos X CSC X hoose the correct proof below A sec xcsc x sin x sec x 1 1 COS X sin x 1 sin sin x cos x 2 COS X sin x cos x cos X CSC X OC sec xcsc x sin x sec x 1 1 sin x COS X X 1 sin X sin X sin x cos x cos 2 X sin x cos x cos X CSC X 1 cos X B sec xcsc x sin x se 1 1 sin cos x sin x sin x cos x 1 sin x 2 sin x cos x cos 2 X cos X CSC X O D sec xcsc x sin x se 1 1 COS X sin x sin x cos x 1 sin x 2 sin x cos x cos 2 X cos X CSC X

Simplify the given expression The result will be one of sin x cos x tan x cotx secx or cs tan x cot x csc X tan x cot x

cos x sin x 1 2 sin a Using the identity sin x cos x 1 make the appropriate substitution Which of the following substitutions proves the iden O A 1 cos sin a 1 2 sin 2 OB O C O D 1 sin 2 1 sin 2 1 1 2 sin sin 1 2 sin cos 2 x 1 2 sin 1 2 sin sin 1 2 sin x 1 2 sin 1 2 sin 2 2 sin 1 2 sin a 1 2 sin 1 2 sin x 1 2 sin

Verify the identity 1 sint cost Choose the sequence of steps below that verifies the identity O A O B O C cost 1 sint D 1 sint 1 sint 1 sint cos t cost 1 sint 1 sint cost 1 sint cost 1 sint cos t 1 sint 1 sint cost 1 sint 1 sint cos t 1 sint cos t 1 sin t 1 sint 1 sint 1 sint 1 sin t cos t 1 sint 1 sin t cos t 1 sin t 1 sin t cos t 1 sin t 1 sin t cos t 1 sint cos t cos t 1 sin t cos t cos t 1 sint cos t cos t 1 sint cos t cos t 1 sin t cost 1 sint cost 1 sint cost 1 sint cost 1 sint

Simplify the given expression 4 sin 8x cos 8x

Solve the given system of equations by using the inverse of the coefficient matrix 3x y 0 2x y 8 The solution is X and y

ind the inverse of the following matrix M M 1 0 2 2 3

Find the exact value of cos 4x sin 4x cos 2x cos 4x sinx cos 2x Simplify your answer

Simplify the given expression The result will be one of sin x cos x tan x cotx sec x or csc x cos x sec X tan x cos X sec X tan x 11