Inverse Trigonometric functions Questions and Answers

dy The response of the system 5y t 4x t with x t 8 t is dt O 1 None of the answers O2 03 O 4 05 y t 5e 5tu t 48 t y t 5e 5tu t y t 4e 5tu t y t 20e 5tu t 48 t 4

A linear time invariant system with the four imaginary poles j2 j2 j4 and 14 is BIBO stable O True O False

The sampler is a linear device used to transform a continuous signal to a discrete one O True O False

5 For the project work points x y shown in the figure the bearing of point R is due West The coordinate for point R is most nearly A 6392 82 6380 78 B 6380 78 6392 82 C 6392 82 11187 21 D 11187 21 6380 78 R N50 45 42 North 9250 43 7380 78 8790 01 5400 55

0 38 Af 20 p 0 002378 slugs ft is driven on a surface with a coefficient of adhesion of 0 5 and the coefficient of rolling friction is approximated as 0 015 for all speeds Assuming minimum theoretical stopping distances if the vehicle comes to a stop 260 ft after brake application on a level surface and has a braking efficiency of 0 82 what was its initial speed a if aerodynamic resistance is considered and b if aerodynamic resistance is ignored 500 16

Draw vectors representing the course of a ship that travels 9 75 miles on a course with bearing 30 10 75 miles on a course with bearing 330 11 25 miles on a course with bearing 135 12 25 miles on a course with bearing 225 13 Heading A boat is crossing a river that runs due north The heading of the boat the direction the boat is pointed is due east and it is moving through the water at 12 0 miles per hour If the current of the river is a constant 3 miles per hour find the true course of the boat to three significant digits 14 Heading A boat is crossing a river that runs due east The heading of the boat is due south and its speed is 11 0 feet per second If the current of the river is 2 feet per second find the true course of the boat to three significant digits 15 Heading An airplane is headed N 30 0 E and is traveling at 200 miles per hour through the air The air currents are moving at a constant 30 miles per hour in the direction N 60 0 W Find the true course of the plane That is find its speed with respect to the ground in miles per hour and its direction with respect to the ground Use three significant digits

Test 1 You MUST UPLOAD YOUR WORK FOR PROBLEMS 1 to 6 TO Question 6 of 20 10 points Question Attempt 1 of 1 The function given by y x shows the average monthly temperature F for Riga The value of x is the month number and x 1 represents January Average Monthly Temperature for Riga Part 1 of 2 Temperature F 3 30 5 52 9 54 of change in temper Month x 1 represents January 11 35 x 1 1 a Find the average rate of change in temperature between months 3 and 5 March and May months 3 and 5 Mare Time Remaining 1 31 F month

Reaction time is the amount of time it takes to respond to a stimulus and for automobile drivers it is an important factor in staying safe while on the road by avoiding rear end collisions Reaction times vary from driver to driver and tend to be longer than one might think A recent study determined that the time for an in traffic driver to react to a brake signal from standard brake lights can be modeled with a normal distribution having mean value 1 24 seconds and standard deviation of 0 45 seconds If we let X denote reaction time for automobile drivers use the appropriate Normal Distribution to determine each of the following 1 What is the probability that a driver has a reaction time less than 0 6 seconds 2 Approximately what proportion of drivers have a reaction time more than 2 5 seconds 3 Within what limits centered about the mean would you expect driver reaction times to lie with 95 probability What are the z scores for these limits 4 What is the reaction time for which only 1 of drivers have a shorter reaction time What is its z score 5 What is the reaction time for which only about 5 of drivers have a longer reaction time What is its z score 4 X 6 Approximately what proportion of drivers have a reaction time within three standard deviations of the mean After you have clicked the tab for your selected topic and read the problem answer the questions below a To model the random variable X defined by the selected scenario use the Normal Distribution with mean 1 24 and standard deviation 0 45 USE SALT b Determine each of the following values rounded to four decimal places 1 2 3 The smaller value is The larger value is 5 X Z score with a corresponding z score of with a corresponding z score of

Suppose that a linear system has fewer equations than variables What can you determine about the solution set of the system

where R is the Sem how that Ifrsino drido 24 R 3 Y 29 Cose above The Intial line 020 circle

2 Determine the final balance of each investment a 275 is invested at 6 2 annual simple interest for 10 years b

1 Determine the simple interest earned on each investmen a 450 is deposited for 4 years and earns 6 5 per year simple interest b 750 year s

Expand fully In o 5 ln 2x 3 6 ln o 5 ln o 5 ln 2x 3 5 3y 2 6 4z 3 o 5 ln 2x 3 6 ln 2x 3 6 ln 2x 3 6 ln 3y 2 7 ln 3y 2 7 ln 3y 2 7 ln 4z 3 4z 3 4z 3 3y 2 7 ln 4z wwww

Use the differential equation approach to find IL t for t 0 in the circuit in Fig P7 14 Select the correct plot for iL t 180 Figure P7 14 0 0 545 02 04 02 0 02 0 0 667 0 6 0 5 0 90 04 0 0 7273 8V 0 6 08 0 5 0 ww 12 90 2 H 14 i 1 16 30 18

Covington Corporation purchased a vibratory finishing machine for 15 000 in year 0 The useful life of the machine is 10 years at the end of which the machine is estimated to have a salvage value of zero The machine generates net annual revenues of 6 500 The annual operating and maintenance expenses are estimated to be 1 100 If Covingto MARR is 20 how many years will it take before this machine becomes profitable Assume that the cash flows occu continuously throughout the year It will take years before this machine becomes profitable Round to one decimal place

In his book Chances Risk and Odds in Everyday Life James Burke states that there is a 72 chance a polygraph test lie detector test will catch a person who is in fact lying Furthermore there is approximately a 7 chance that the polygraph will falsely accuse someone of lying a Suppose a person answers 85 of a long battery of questions truthfully What percentage of the answers will the polygraph wrongly indicate are lies b Suppose a person answers 15 of a long battery of questions with lies What percentage of the answers will the polygraph correctly indicate are lies c Suppose 40 of the questions are answered truthfully and 60 are answered with lies What percentage of the answers will the polygraph wrongly indicate are lies d Suppose 40 of the questions are answered truthfully and 60 are answered with lies What percentage of the answers will the polygraph correctly indicate are lies e Suppose 20 of the questions are answered truthfully and the rest are answered with lies What percentage of the answers will the polygraph wrongly indicate are lies f Suppose 20 of the questions are answered truthfully and the rest are answered with lies What percentage of the answers

The probability that a single radar station will detect an enemy plane is 0 65 LAUSE SALT a What is the smallest number of stations required to be at least 98 certain that an enemy plane flying over will be d by at least one station 4 stations b If five stations are in use what is the expected number of stations that will detect an enemy plane stations

Q2 In economic decision making when the inputs and outputs are fixed the criterion to use is minimize the input a True b False

A vending machine accepts nickels dimes and quarters Exact change is needed to make a purchase How many ways can a person with five nickels three dimes and two quarters make a 25 cent purchase from the machine For this problem treat all coins within a particular value as if they are the same That is do not count the number of ways that a single coin a nickel a dime or a quarter could be chosen There are ways to make the purchase IA TO

To help pay for a class trip at the end of their senior year the sophomore class at a high school invests 1100 from fund raisers in a 30 month CD paying 3 2 interest compounded monthly Determine the amount the clas will receive when it cashes in the CD after 30 months www The sophomore class will receive 1 100 when it cashes in the CD Round to the nearest cent as needed

5 1 5 The following Vern diagram shows the events A and B where P 4 0 3 The values shown are probab b in Find the value of p Find the value of q Find d ULR U 0 1 B 0 4

A botanist has developed a new hybrid cotton plant that can withstand insects better than other cotton plants However there is some concern about the germination of seeds from the new plant To estimate the probability that a seed from the new plant will germinate a random sample of 3 000 seeds was planted in warm moist soil Of these seeds 2 570 germinated a Use relative frequencies to estimate the probability that a seed will germinate What is your estimate Round your answer to 3 decimal places b Use relative frequencies to estimate the probability that a seed will not germinate What is your estimate Round your answer to 3 decimal places c Either a seed germinates or it does not What is the sample space in this problem O germinate germinate or not germinate not germinate Do the probabilities add up to 1 Yes No Does this make sense The above result Select make sense since we see that the table Select sample space the sum Select d Are the outcomes in the sample space of part c equally likely probabilities for all outcomes in the

Not yet answered Marked Given the least squares regression line y 2 48 1 63 x and the coefficient of determination of 0 81 the coefficient of correlation is O a 0 85 O b 0 9 O c insufficien information to compute O d 0 9 Oe 0 85

e the Venn diagram to write the elements of B Enter your answer as a set using the listing method U h a n A b 3 2 m g B j i d 1 k

Solve the compound inequality and write the answer using interval notation Simplify your answer completely 12 x 14 12

Consider the following compound inequality x 1 or x 2 a Graph the compound inequality Use the tools to enter your answer 10 8 WebAssign NumberLine 4 2 0 2 0 0 0 0 6 8 10 Rewrite the compound inequality using interval notation for a real number x Simplify your answer complet

The general manager of a fast food restaurant chain must choose six restaurants from among 19 for a promotional program In how many ways can the six restaurants be chosen ways

DOLLARS PER VISIT 300 250 200 150 100 50 0 0 Market for Doctor Visits 125 Supply Demand 250 375 500 625 DOCTOR VISITS PER YEAR 750 The equilibrium number of doctor visits in this economy is Graph input Doctor Visits per Year Patient Payment Dollars per visit Insurance Payment Dollars per visit 250 200 0 visits per year while the equilibrium price is Price Doctors Charge Dollars per visit per visit D 100 Now suppose everyone in this economy gets health insurance that pays 80 of the price received by doctors In this case there would be doctor visits demanded per year Hint Type each entry in the drop down menu into the white box and examine the result When you change the number of doctor visits in the white box the value in the insurance payment box changes to reflect the amount that would make up the

Find the distance in kilometers between the following pair of cities assuming they lie on the same north south line The radius of the Earth is approximately 6400 km City A 18 N and City B 10 S The cities are approximately km apart Round to the nearest integer as needed www

Find the exact values of x and r 45 r X 29

Use the formula V W h for the volume V of a right circular cone where w represents the width of the base this is the same as the diameter and represents the height This formula yields the volume in cubic units Suppose a highway traffic cone is 14 inches wide and 30 inches tall What is the volume of this highway cone in in Rour result to two decimal places in 3

Simplify the expression which involves a square root Round your answer to two decimal place 2 014 11

Simplify the expression which involves an exponer 1 1 1 1 201 2

Translate the sum of 20 8 and z multiplied by 8 4 is 63 14 into an algebraic equation Do not solve the equation

Translate 11 increased by x is 69 into an algebraic equation Do not solve the equation

Translate the difference x minus 20 6 then divided by 2 9 yields 1 35 into an algebraic equation Do not solve the equation

d 654 to the nearest 10 V

Evaluate each of the following expressions a 80 000 1 0 04 11 b 980 1 02 1 0 02 Round to two decimal places Round to two decimal places

Find in the network in Fig P2 10 given 12 5 mA and 13 2 mA 1 m www Figure P2 10 www 12 mA W Notes on entering solution Enter your solution in milliAmperes mA Enter your solution to 2 decimal places 13 mA mA Do not include units in your answer ex 5 mA is entered as 5 00

X 24 61 Press here for long description a Solve using sine law only b Solve using cosine law and quadratic formula only Task 2 Developing a real world sinusoidal equation A C 12 a Describe a situation in the real world that can be modelled by a sinusoidal function b Create a reasonable table of values for at least two cycles and then graph Make sure you define your variables c Find the equation for your graph and explain what each parameter a p c and d of y asin 360 x d c means for your specific situation d Write two questions that could be answered using the equation Answer the questions

a 3 16 14 12 10 8 2 2 1 0 Domain Range y intercept Asymptote Interval of increase decrease b 244 22 20 18 16 14 12 10 B 6 4 2 0 Domain Range y intercept Asymptote Interval of increase decrease c 4 3 2 1 0 21 6 8 10 12 14 16 18 20 S 2 Domain Range y intercept Asymptote Interval of increase decrease

With new travel technologies the world seems to be getting smaller True False

Jake can mulch a garden in 30 minutes Together Jake and Ross can mulch the same garden in 16 minutes How much time t in minutes will it take Ross to mulch the garden when working alone

For the real valued functions f x 5x 25 and g x x 2 find the composition fog and specify its domain using interval notation rea x 0 olo 5

6 A woman spends 7 42 at the drug store If she had NOT bought the mouthwash costing 1 19 she would have spent A B D 6 23 6 27 6 33 8 61

How long will a package containing a dozen gauze pads last if a dressing that requires one pad is changed four times a day A B C D 2 days 3 days 4 days 5 days

Graph the following inequality Note To graph the inequality 1 Select the type of line below solid or doshed 2 Plot two points on the line 3 Click on the side that should be shaded 15 10 VI 25 10 5 10 Mot 10

Samira 22 Multiplication Worksheets 6 1 00 8 79 6 00 x6 0 5 E 6 12 a 13 8 2 14 6 2 57 13 5 x5 37 8 15 V 58 imp www addicals com 4 6 x3 5 28 x8 29 2 6 15 2 15 8 54 1 8 D 1 x4 1 6 13 6 De 12 21 2022 0 31 6 8 x4 4 x8 32 0 x10 00 10 10 20 23 73 34 22 16 x6 3 x2 99 52 6 5 5 x1 9 9 86 9 45 x5 00 g 8 34 x4 74 x4 79 x9 8 x3 6 x4 24 5 x4 8 x4 2 x6 6 x10 0 x6 7 19 6 6 x10 00 8 S 2 x3 22 x2 5 x6 5 x5 7 x6 5 x8 33 69 66 x6 2 15

14 Determine all the roots of the equation 2 cos x in the interval 2 x 2 Explain how x you did this 2

1 6 pts Find all solutions to 2 cos x 2 0 on the interval 0 x 2 Don t forget to show your work Give exact solutions