Inverse Trigonometric functions Questions and Answers

1 i Z exp 1 i logz z 0 0 arg z 2 eie 0 0 27 I the indicated power function and C is the unit circle z Ans i 1 e 2

Use the Cosine Law for Angles to find the measure of angle B in the triangle given below wherex a 9 cm b 14 cm and c 11 cm A b

Prove the identities 1 tanu cscu sinu cosu 1 cscx 2 cos x cotx secx 3 cscx cot x csc x cot x

Solve the equation Enter your answers as a comma separated list Use n as an arbitrary integer Enter your response in radians sec2 x 5 sec x 14 0

Find the angle between the vectors 0 u 4 5 0 v 5 4 3 radians

for the following exercises find the exact value if possible without a calculator if not possible explain why Odd numbers only please For the following exercises find the exact value if possible without a calculator If it is not possible explain why 1 1 24 sin cos 25 tan sin 26

5 2 3 cotx secx cosecx Show that cosx sinx tanx 5 3 2 3

3 Evaluate 3a when a 4 and when a 4 When a 4 3a3 When a 4 3a

9 3 4 converted to a fraction equals 39 400 39 40 390 400 39 4 000 None of these

Simplify 14 19 8 4

What term matches the definition below An angle whose measure is greater than 0 and less than 90 The term that matches the given definition is

The W21 48 steel beam shown in the figure has its compression flange laterally braced at th one third points over its full length Assume Fy 50 ksi and C6 1 0 for the critical segment Th maximum factored load w kips ft that the beam can carry for this length is most nearly LATERAL SUPPORT POINT L 30 0 ft W21 48

8 Storm runoff is observed flowing in an 8 ft wide rectangular concrete channel n 0 015 The depth of flow is determined to be 5 ft a Calculate the velocity and flow rate of the storm flow The channel has a slope of 1

Select the correct choice that completes the sentence below The formula for finding the probability of event A or event B is P A or B P A and B P A P B 1 P A and B

The Kurds Roma and Palestinians have this in common they are Ostateless peoples members of the United Nations newly sovereign nations of states that failed as a result of World War Two

2 5 2 sin 7T 2 5 an 37 Use an identity 3 6 3 6 6 to find the exact value

ok Tim is a single cash method taxpayer with an AGI of 50 000 In April of this year Tim paid 740 with his state income tax return for the previous year During the year Tim had 4 200 of state income tax and 15 300 of federal income tax withheld from his salary In addition Tim made estimated payments of 1 020 and 1 540 for state and federal income taxes respectively Finally Tim expects to receive a refund of 380 for state income taxes when he files his state tax return for this year in April next year What is the amount of taxes that Tim can deduct as an itemized deduction Deductible taxes

Higher value placed on behaviors practices characteristics typically associated with whiteness

Which of the following is the graph of r 12 12 cos 0 Note that the r grid lines occur in increments of 4 OA OB O C 0 OD Q 0 O E 0 0 OF 0 0 0 5

cos 0 7 cos 0 2 0 Solve in general

Find f g x and identify the graph of f g f x x and g x 6 Part 0 2 Part 1 of 2 f g x 9 0 0 0

Review the instructions for homework 2 in the link at the top of our class modules page For full credit be sure to discuss all aspects of one relationship that you currently have minimum one page to provide details Even if that relationships doesn t meet each concept discuss how it doesn t meet it Homework 2 respond to the following Think about the quality of one of your own relationships Try to identify what it is about your motivating style and the motivating style of the other person that contributes to the quality of that relationship Estimate the other person s way of interacting with you in terms of how much he or she Nurtures your inner motivational resources Relies on informational language to communicate with you Promotes your valuing Acknowledges and accepts your expressions of negative affect as okay Be sure to give examples of each of the above You must include all four areas in your paper

Find the cardinal number for the set B x x is a letter of the alphabet OA 25 OB 30 OC 23 OD 26

designed for 70 mi h What is the station of the PT 3 44 A horizontal curve is being designed through mountainous terrain for a four lane road with lanes that are 10 ft wide The central angle A is known to be 40 degrees the tangent distance is 520 ft and the stationing of the tangent intersection PI is 2600 00 Under specified conditions and vehicle speed the roadway surface is determined to have a coefficient of side friction of 0 08 and the curve s superelevation is 0 09 ft ft What is the stationing of the PC and PT and what is the safe vehicle speed

3 43 A horizontal curve on a single lane highway has its PC at station 123 70 and its PI at station 130 90 The curve has a superelevation of 0 06 ft ft and is designed for 70 mi h What is the station of the PT ramp is 45 m of the how m

f the curve and has an 1 0 The t a point on 245 ft What What is the 3 13 A 1200 ft equal tangent crest vertical curve is SS currently designed for 50 mi h A civil engineering student contends that 60 mi h is safe in a van because of the higher driver s eye height If all other design inputs are standard what must the driver s eye height in the van be for the student s claim to be valid

6 Write your final answer as a mixed number or improper fraction 1 poin What value of x makes the equation shown below true 24x 33 3 5x 21 9 Show your work

6 For a given material the modulus of elasticity is 300 GPa and it s Poisson ratio is 0 5 The shear modulus is

8 7 pry OA Multiply the first numerator by the second denominator and multiply the second numerator by the first denominator and then find the sum of these two products OB Multiply the first numerator by the second denominator to get the new numerator and multiply the second numerator by the first denominator to get the new denominator C Multiply the numerators to get the new numerator and multiply the denominators to get the new denomina OD Add the numerators to get the new numerator and add the denominators to get the new denominator Set up the multiplication 5 3 5 3 8 7 8

As a result of the Fed s sale of 8 000 worth of government securities to First Main Street Bank the bank becomes reserve deficient Suppose that Sharon a First Main Street Bank s customer re pays back the 8 000 loan she took out a few months ago Which of the following most accurately describes First Main Street Bank s actions O The bank creates a 8 000 loan O The bank keeps the 8 000 as reserves The bank keeps the 1 200 as reserves The bank creates a 187 000 loan The money supply in the economy is s

EACH PROBLEM WILL BE GRADED 0 15 1 For how many elements n 0 1 600 is the following statement true n is divisible by 8 or by 12 and n is not divisible by 5

total amount of berries in the salad 8 The LCD is 16 www 4 my vy uomiy an appropriate ULATION no capitis caunumite i uit v OD Simplify if possible What is the next step in adding fractions when denominators are different OB Simplify if possible OC Add the numerators and the denominators 16 n OA Multiply by 1 using an appropriate notation to express each number in terms of the LCD

41 2 8 10 points Given the cofactor matrix of matrix A is C 6 0 3 and A 3 find A 2

How many times would the moon fit across the sky from horizon to horizon 180 image not scale

An object falls freely in a straight line and experiences air resistance proportional to its speed this means its acceleration is a t kv t where k is a positive constant and v is the object s velocity The speed of the object decreases from 1200 ft s to 1100 ft s over a distance of 1400 ft Approximate the time required for this deceleration to occur Hint Note that a t v t and v t x t Write the velocity of the object as a function of time v t XXX

Devise an exponential decay function that fits the given data then answer the accompanying question Be sure to identify the reference point t 0 and units of time The homicide rate decreases at a rate of 3 per year in a city that had 900 homicides yr in 2006 At this rate when will the homicide rate reach 800 homicides yr What is the reference point t 0 OA the initial number of homicides 900 B the rate 3 C the year 2006 OD the future number of homicides 800 What are the units of time A years B percents C cities OD homicides yr Write the exponential decay function y t 900 0 030 Type an expression Round coefficients to three decimal places as needed In what year will the homicide rate reach 800 homicides yr final answer Then round to the nearest whole number as needed

Suppose the acceleration of an object moving along a line is given by a t kv t where k is a positive constant and v is the object s velocity Assume that the initial velocity and position are given by v 0 4 and s 0 0 respectively Complete parts a through c a Use a t v t to find the velocity of the object as a function of time v t CI

Devise an exponential decay function that fits the given data then answer the accompanying questions Be sure to identify the reference point t 0 and units of t The pressure of a certain planet s atmosphere at sea level is approximately 900 millibars and decreases exponentially with elevation At an elevation of 25 000 ft the pressure is one third of the sea leve pressure At what elevation is the pressure half of the sea level pressure At what elevation is it 3 of the sea level pressure What is the reference point t 0 A the elevation at sea level 0 ft B the elevation 25 000 ft C 3 of the sea level pressure OD the pressure at sea level 900 millibars What are the units of t OA millibars B feet C pressure levels At what elevation is the pressure half of the sea level pressure 15 773 feet Do not round until the final answer Then round to the nearest whole number as needed At what elevation is the pressure 3 of the sea level pressure

Given the following function prove or dissaprove that function is One to one injective and that it is not Onta subjective Remark that a counterexample is NOT ENOUGH You should explain every step in your solution f Z ZXZ f n 2n n 3

Divide 11 8 11 11 Simplify your answer Type an integer or a frac 8

implify 0 2 The answer is Simplify your answer Type an inte

Divide Assume that all variables are nonzero 56 9 56 64 64 Simplify your answer Type an integer or a fraction

Math 110 Course Resources Derivatives Course Packet on basic rules of differentiation an example of the product rule Let f x x 2 2x8 1 Use the product rule to compute f x f x Submit Answer

Divide and simplify 2 9 2 9 3 4 3 4 3 11 Simplify your answer Type an integer or a fraction

A local carnival features a booth where a person guesses the participant s age Suppose that a 21 year old person has his ag guessed as 30 years a Compute the absolute error Simplify your answer completely AE Interpret the result The guesser estimates a person s age correctly this proportion of the time The guesser s estimate was off by this much relative to the participant s age This is the ratio of the guesser s estimate to the participant s age The guesser s estimate had this percent error The guesser s estimate was off by this many years b Compute the relative error Round to three decimal places Simplify your answer completely RE Interpret the result The guesser estimates a person s age correctly this proportion of the time The guesser s estimate was off by this much relative to the participant s age This is the ratio of the guesser s estimate to the participant s age The guesser s estimate had this percent error The guesser s estimate was off by this many years

Evaluate lim h 0 3 1m 1 1 2 3 3 2 3 h 3 h