Inverse Trigonometric functions Questions and Answers

K Find the set AU A 1 2 6 7 8 empty set Select the correct choice below and if necessary fill in the answer box to complete your choice OA AU Use a comma to separate answers as needed OB AU is an empty set

Diversification and portfolios what is it how does it work the prete

Change the following into drops per minute using a macro drip 15gtts cc 150cc hour gtts min Round to the nearest whole number

Which of the followings cannot be an example of discrete random variable Number of scratch a hood of a car Voltage Number of sodas sold at a fast food place Number of transmitted bits received in error O Scratches on a hood of a car Voltage ONumber of sodas

Determine the following probability P 10 x 19 0 4 0 3 O 0 1 X 9 0 4 P 0 x 19 0 7 P 0 x 29 0 8 P 0 X 39 0 9 P 0 x 49 1 01 Question 27 The probability density function of the weight of packages delivered by post office is f x for 1 x 70 pounds 3 pts 70 692

Let P X15 0 3 and P 15 X 24 0 6 and P x 20 0 5 b Find the following probabilities Be sure to put your answers in order a a Find the P 24 b If P 18 X 24 0 4 find P X 18 Oa 0 9 and b 0 5 Oa 1 1 and b 0 87 O a 0 9 and b 0 7

The Fashion Store has 12 000 available each month for advertising Newspaper ads cost 600 apiece and no more than 40 can be run per month Radio ads cost 300 each and no more than 50 can run per month TV ads cost 1800 a piece with a maximum of 6 available each month Approximately 3000 women will see each newspaper ad 1800 will hear each radio ad and 14 000 will see each TV ad How much of each type of advertising should be used if the store wants to maximize exposure How many newspaper ads should be placed www

Add the numbers below Express the result in polar form 2 47 32 09 1 61 212 59 What is the sum Simplify your answers Round to one decimal place as needed Use angle measures greater than or equal to 0 and less than 36

elw 8400X 400X

45 Points Determine the rate of seepage in cubic feet min under the dam by drawing flow net to scale and also determine the total uplift force in psf acting at the bottom of the dam at Point B per unit length of dam The permeability of the silty sand is 0 05 ft min The drawing is to scale Use the scaled drawing for your flow net sketching and pressure calculations evaluations Upstream water level is at El 200 ft Downstream water level is at El 162 ft Dam is 105 ft long and bottom is at el 146 ft Ground surfaces on both upstream and downstream sides are at El 150 ft T EL 200 FT EL 150 FT TH ht 52 5k 105 FEET LONG FLO F rock THEO by do 20 El 162 FT

1 s2 4s 8 C Determine theinverse Laplace Transform

1 2 48 8 4s Determine theinverse Laplace Transform

1 C 3 48 8 Determine theinverse Laplace Transform

Use Definition to determine the Laplace transform of the given function 1 t 2 et 8

oblem 2 Suppose that sin 0 12 13 2 and T Determine the values of sin 2 cos and tan COS 2 2

Exponential Loga If the monthly supply of math action figures t months after initial delivery to market is given by the logistic growth function find the initial supply of the market Initial supply s t 5000 9 18e 0 44t

Suppose for a given month the mean daily closing price for stock A was 136 03 and the standard deviation was 13 9 For stock B the mean daily closing price was 77 95 with a standard deviation of 6 9 Which stock was more volatile Stocks with greater coefficients of variation are considered more volatile Which stock was more volatile Stock A O Stock B

4 Provide both the equation and a sketch of the requested function Draw two full periods in your sketch Be sure to label your sketch appropriately so it can be verified to be a sketch of your equation Provide a tangent or cotangent function with period 2 and a horizontal shift of it

Introduction to Exponential Functions According to the Mini Lesson which of the following are TRUE regarding f x a b Check all that apply Assume a 0 The Horizontal Asymptote is the line 0 The Horizontal Asymptote is the point 0 a The Range of the exponential functions is f x 0 The Domain of the exponential functions is All Real Numbers The Horizontal Asymptote is the line y 0 The Range of the exponential functions is All Real Numbers The Domain of the exponential functions is a 0

If possible find polynomials f x and g x so the graph of y f x g x has the following characteristics Vertical asymptotes at x 2 and x Horizontal asymptote y 1 Continuous for all x 2 1 f x 1 and g x

Would you trust Al diagnostics to asses test results for a critical illness in you or a loved one What about if this was a mature technology Do you believe that physicians will become depending on mature Al diagnostic technology the same way that we have become dependant on spellcheck

A normal distribution has a mean of 85 5 and a standard deviation of 4 83 Find the data value corresponding to the value of z given Enter your answer to four decimal places z 0 65

Name the parent function describe the exact transformations to its image Write the coordinate rule of the transformation then write the equation of both the parent function and its image Parent Function Name Description Coordinate Rule Parent f x Image g x 4 3 2 1 4 3 2 2 y It 2 3 4 X

Suppose the government injects 1 000 into the economy and the marginal propensity to consume MPC is 0 8 The initial round of spending adds 1 000 to the economy while round 2 adds and round 3 adds

ABCD A ABCD V1 Consider the graph G shown below W1 A At least one of the answers above is NOT correct V2 W2 V3 incorrect W3 correct Determine whether each of the following is a perfect matching and whether it is a partial matching v w v W V3 W3 A Is a perfect matching A Is a partial matching v3 W v2 v w3 W C Is a perfect matching C Is a partial matching V V2 V3 W W2 W3 B Is a perfect matching B Is a partial matching v W v W v3 W3 v w D Is a perfect matching D Is a partial matching

7 of 13 Macmillan Learning Find one exact solution of the given equation over the interval 2 2 sin x 2 cos x Suggestion First divide each side of the equation by cos x Express numbers in exact form Use symbolic notation and fractions where needed If the answer is given in degrees include the degree symbol x KI4 Attempt 2 T 24

13 of 13 Macmillan Learning You stand 100 horizontal feet from a vertical cliff The top of the cliff is 39 feet above eye level The figure is provided Cliff 39 100 At what angle above the horizontal must you incline your eyes to look directly at the top of the cliff Use decimal notation Give your answer to two decimal places Include the degree symbol in your answer angle

A sporting goods company keeps track of how much it spends on advertising each month and of its corresponding monthly profit From this information the list of monthly advertising expenditures and the associated monthly profit shown in the accompanying table was compiled Sporting Goods Profit Generated by Advertising Advertising thousand dollars a 5 7 Enter a number Interpret the result 9 11 13 15 17 19 Profit thousand dollars p 150 190 240 315 390 450 510 525 a Find the function for the cubic model that gives monthly profit in thousand dollars where a is the amount spent on advertising in thousand dollars with data from 5 sa 19 Round all numerical values to three decimal places p a 0 211a 7 361a 48 122a 234 544 X thousand dollars b Find the rate of change of profit as a rate of change when the monthly advertising expenditure is 10 000 Round your answer to three decimal places X thousand per thousand dollars When 10 000 is the monthly spending on advertising profit is increasing by per thousand dollars Use the model to find the rate of change of profit as an approximate change when the monthly advertising expenditure is 10 000 Round your answer to three decimal places thousand per thousand dollars ree 10 re 10

Use the following to answer question 25 Figure Minimum Wage Wage P3 22 Q Q3 D Q Quantity of labor 25 Figure Minimum Wage With a binding minimum wage of P3 the quantity of lab demanded would be A Q B Q C 0 D 04

A company s marginal cost function is MC x xe x 2 and fixed costs are 215 Find the cost function Hint Evaluate the constant C so that the cost is 215 at x 0 C x

blem 6 If a person with weight W bends at the waist with a straight back then the force F in pounds exerted on the lowe back muscles may be approximated by the function F 3 2 89W sin 8 The angle 8 is the angle between a person s torso and the horizontal a Use the sum and difference identities to rewrite the function F 3 in terms of cosine b Suppose the person is standing straight measure the force exerted on their back c Suppose the person weighs 200 pounds

The graph of an exponential function is shown in the figure below The horizontal asymptote is shown as a dashed line Find the range and the domain 1 11 a b 1 1 Write your answers as inequalities using x or y as appropriate Or you may instead click on Empty set or All reals as the answer range 0 domain 0 0 0 0 020 8 08 Empty set OSO All reals

Frequency 4 1 0 Scores in a game 1 2 3 4 5 6 5 6 Score What is the mode score for this game

3 Identify the correct statement for the quadratic y 4x 24x 2 a The optimal value is a maximum b The axis of symmetry is 3 c The optimal value is 3 d Both a b

10 1 point Which situation will result in a previously balanced budget becoming unbalanced One expense increases so another expense is decreased Income increases so expenses are decreased c One expense increases so another expense is increased d Income increases so expenses are increased a b

Find the exact value of each trigonometric expression a cos 1 2 3 2 3 b tan 1 3

3 Solve each equation on the interval 0 0 2T a 2 sin 0 3 0 N 2 b cos 20 12

Find the exact value of each of the six trigonometric functions of the angle given the point 3 4 on the terminal side of the angle 8 in standard position

Find the value of each of the six trigonometric functions of the angle 8 3P Sin0 Coso 4 b4 0 A stu

A group of 20 students were asked how many times they visit a certain website per week and the following results were obtained Find the mean median and mode for the distribution 11 7 14 7 10 16 27 18 27 28 4 19 24 27 17 9 3 21 15 70 Find the mean Select the correct choice below and fill in any answer boxes in your choice OA The mean is Type an integer or decimal rounded to one decimal place as needed OB There is no mean for these data Find the median Select the correct choice below and fill in any answer boxes in your choice OA The median is Type an integer or decimal rounded to one decimal place as needed OB There is no median for these data Find the mode Select the correct choice below and fill in any answer boxes in your choice OA The mode s is are Type an integer or a decimal Use a comma to separate answers as needed OB There is no mode for these data

4 of 13 esources 2 Assume s is an angle with sin s It is an angle with cos t information together with appropriate identities to calculate tan s t 9 Give an exact answer Use symbolic notation and fractions where needed 3 tan st Give up Hint and both angles are between 0 and Check Answer 1 Use this 2

6 Which of these graphs represents a function Justify your answer a 2 2 0 2 y 1 2 X b 2 2 0 2 y X 1 2 X xl

3 Let S 0 0 Which of these statements are true OCS S S 1 ES

Find the mean the median and the mode of the following salaries of employees of the Moe D Lawn Landscaping Company If an answer does not exist enter DNE mean 26700 median 28000 mode 21000 Salary 21 000 26 000 30 000 45 000 Frequency 4 321

9 Suppose the interest rate on a 1 year T bond is 4 0 and that on a 2 year T bill is 7 0 Assuming the pure expectations theory is correct what is the market s forecast for 1 year rate 1 year from now

10 uestion 13 1 point Lite Lise the graph to find the horizontal asymptote if any and vertical asymptotes if any of the function 10 10 D 1 The A y 3 y 3 B no horizontal asymptotes C y 0 D y 3 y 3 y 0 2 The vertical asymptote s is are A no vertical asymptotes B x 3 x 3 x 0 C X 0 D x 3 x 3

Use the fundamental counting principle The editor of the Video Gamer is selecting 8 video games from 12 possibilities to review in her online column One will be the featured game and the other 7 will be covered in less detail and in no particular order In how many ways can she make her selection There are ways the editor can make her selection Simplify your answer Type a whole number point s possible www 2

point s possible Find the value of the ordinary annuity at the end of the indicated time period The payment R frequency of deposits m which is the same as the frequency of compounding annual interest rater and time period t are given amount 1 000 quarterly 5 9 six years The value of the ordinary annuity is Round to the nearest cent as needed

Solve the given equation Enter your answers as a comma separated list Let k be any integer Round terms to three decimal places where appropriate If there is no solution enter NO SOLUTION tan 0 9 2 cos 0 1 0 0