Math - Others Questions

1 2 points Show that the curve given by r t 1 2tt 3t 4t 1 lies entirely within a single plane and find an equation for that plane

5 2 points Imitate an example from class to parametrize the curve that is the intersec tion of the cylinder x y 4 and the hyperboloid z x y Use Simpson s Rule refresher here with n 8 intervals to approximate the arc length of this curve

2 2 points Recall from one variable calculus the Mean Value Theorem which states that if a function is differentiable on a b then there exists a c a b such that f c f b f a b a Is the same true in multivariable calculus That is if r t is differentiable on a b must there be a c with a c b such that r c r b r a b a

5 A student used a balance and a graduated cylinder to collect the following data Sample mass Volume of water 10 23g 20 0 mL Volume of water and sample 21 5mL a Calculate the density of the element Include the appropriate number of significant figures and proper units Show your work b If the accepted value is 6 93 grams per milliliter calculate the percent error c What error is introduced if the volume of the sample is determined first

3 6 points Find an equation of the plane tangent to 2 at the point 4 2 0 x z y z

6 points Suppose you wake up in a big spooky hillside defined by the plane z ax by c where a b and c are constants The ghost elephants will be here soon and you gotta get out of here You grab your skateboard and look for the way out Find the path in the xy plane beginning at the point xo Yo that corresponds to the path of steepest ascent on the hillside

Excursion Publishing was recently organized as a corporation The company issued common stock to an attorney who provided legal services worth 24 000 to help with the incorporation Excursion also issued common stock to an inventor in exchange for her patent with a market value of 80 000 In addition Excursion received cash both for the issuance of 10 000 shares of its preferred stock at 120 per share and for the issuance of 18 000 of its common shares at 4 per share During the first year of operations Excursion earned net income of 94 000 and declared a cash dividend of 30 000 Read the requirement Requirement 1 Without making journal entries determine the total paid in capital created by these transactions Complete the table below by selecting the transactions that result in paid in capital and then enter the amounts to calculate total paid in capital for the period If an input field is not used in the table leave the field empty do not select a label or enter a zero Transaction Paid in capital Total paid in capital Requirement 1 Without making journal entries determine the total paid in capital created by X

3 During a laboratory experiment a sample of aluminum is found to have a mass of 12 50 grams and a volume of 4 6 milliliters What is the density of this sample expressed to the correct number of significant figures A 2 717 g mL 4 The diagram below representa C 3 B 3 g mL C 2 7 g mL D 4 D 2 72 g mL

Consider the equation y 2xy dx r dy 0 1 Show that this equation is not exact 2 Show that multiplying both sides of the equation by y 2 yields a new equation that is exact 3 Use the solution of the resulting exact equation to solve the original equation 4 Were any solutions lost in the process

THE CHAIN RULE I Composite Functions 1 f x x g x 2x 2 If f x x and g x x 5 II The Chain Rule C

Laura plans to purchase a new SUV The dealer requires a 10 down payment on the 38 000 vehicle Laura will finance the rest of the cost with a fixed rate amortized auto loan at 5 annual interest with monthly payments over 6 years Complete the parts below Do not round any intermediate computations Round your final answers to the nearest cent if necessary If necessary refer to the list of financial formulas a Find the required down payment 0 b Find the amount of the auto loan 0 c Find the mont S payment X

Using the quotient rule differentiate each of the following a f x x b f x x 1 2x 1 x 3 c x x 3x 5 1 x 2

Question 5 Given positive integers n and m how many sequences a1 a2 an of n integers are there such that 1 a a an m Question 6 Given positive integers n and m how many sequences a1 a2 an of n integers are there such that 1 a a an m

2 If the moisture content of oil seed newly harvested is 25 on a wet basis determine the amount of water that has been removed from 1 000 kg seed to a final moisture content of 10 on a wet basis

2 Show that is a solution to the nonlinear equation x y e y 0 1 dy 1 yezy 0 dr 1 ey

Question 6 In a year when the maximum income for Social Security was 106 800 Bart worked two jobs In one job he earned 99 112 second job he earned 56 222 Both of his employers took out the 6 2 Social Security tax As a result Bart had paid excess Social Security tax and the government must return some of it to him How much does the government owe him for excess Social Security paid

Assignment Score 46 2 Question 10 of 13 Macmillan Learning equation of secant line y 1 39 Resources 3x 1 Lx Give Up Find the equation of the secant line for f x In x for the interval 1 4 Express numbers in exact form Use symbolic notation and fractions where needed Let y f x and give the equation in terms of y and x Feedback Attempt 2

ve 2xy 1 dx 2x y dy 0

8 y d x fizp 3x 8 I fi 0

1 a Calculate depreciation for Year 2 1 b Calculate book value and gain loss for sale of Truck on December 31 Year 3 1 c Prepare journal entries to record these transactions and events Answer is not complete Complete this question by entering your answers in the tabs below Required 1A Required 1B Required 1C Calculate book value and gain loss for sale of Truck on December 31 Year 3 Depreciation expense for Year 1 Depreciation expense for Year 2 Depreciation expense for Year 3 Accumulated depreciation 12 31 Year 3 Book value of truck at 12 31 Year 3 Total cost 0

6 Let x represent the regular price of a book a Give a function f that represents the price of the book if a P100 price reduction applies b Give a function g that represents the price of the book if a 10 discount applies c Compute fog x and gof x Describe what these mean Which of these give a better deal for the customer

3 n e answer above is NOT correct 3n 1 point Find the sum of the arithmetic sequence below incorrect This answer is equivalent to the one you just submitted 11 8 5 2 11 3n

olve 2xy 1 dx 2x y dy

Answer the following questions Prepare your written assignment using proper sentence format with attention to grammar punctuation spelling and capitalization Each answer response should be a minimum of 5 sentences long 0 5 deduction per error grammar punctuation spelling and capitalization Question 1 Why is it important for first responders to have knowledge of autism Question 2 How can understanding autism affect how first responders handle emergency situations Question 3 What specific strategies can first responders use when interacting with individuals with autism

Five school mates Ben Kevin Frans Maya Alina competed who was the quickest to build a card house They all started the competition at the same time Ben was ready before Alina but later than Maya Kevin was ready before Frans but only after Alina Select the correct order of school mates from the quickest to the slowest Maya Ben Alina Kevin Frans Alina Kevin Ben Maya Frans o Maya Ben Alina Frans Kevin o Maya Ben Kevin Frans Alina o Ben Alina Maya Frans Kevin o Ben Maya Alina Frans Kevin Alina Kevin Frans Maya Ben

The model represents an equation X X X X X 1 Based on the model what is the value of x X X X H H 1

Wildlife researchers try to predict the weight in pounds of alligators by measuring their length in inches from aerial photographs They collected data on adult alligators and computed a 387 1 least squares regression line 381 2 weight 393 5 9 x length a What effect on average does an increase of 1 inch in length have on weight The increase in length

2 1 point Fatima wants to paint ten square signs like the one shown Each sign needs two coats of paint for each colour How much grey paint does she need A 2 1700 in b 2330 in C 15 in 8 in 2230 in d 2270 in

7 1 point Calculate the surface area of this right triangular prism to the nearest square inch a 49 in b 97 in 4 3 in C 6 4 in 99 in 3 8 in d 84 in

4 1 point The volume of this cylinder is 900 m Determine the height of the cylinder to two decimal places d 12 4 m C 1 86 m b 9 3 m 7 45 m 12 4 m d 5 59 m

8 1 point A small cylindrical candle has a diameter of 38 mm and a height of 12 mm Determine the minimum surface area of a box with lid that can hold a row of five candles 00000 c 19 9 cm a 19 144 mm b 20 444 mm d 19912 mm

6 1 point What is the surface area of the prism a 535 cm b 580 mm C 23 mm 485 mm 5 mm d 510 mm

5 1 point The volume of a cylindrical container with a height equal to its radius is 817 cm What is the radius to the nearest tenth a 9 1 cm b 16 1 cm 3 0 cm d 6 4 cm

3 1 point Determine the volume of concrete needed to construct this ramp to the nearest tenth of a cubic metre 32 cm a 72 cm b 1 4 m 1 9 m c 0 36 m 1 2 m d 0 4 m

Ication Directions Select the most correct answer for each of the questions below 1 1 point What is the area of the figure 6 m 2 5 m

The following information is known to be true All seadolls are birds Seadolls nest on small rocky islands with other bird species Some birds on these sites are greyish Seadolls nesting habits are influenced by the fear of predators Some predators can swim or attack from the air Based on the information given above which of the following conclusions must be true Choose the correct alternative e Some greyish birds are seadolls All seadolls are greyish Some seadolls are greyish All greyish birds are seadolls of the conclusions above are necessarily true

students go to the same school Their family names are Smith Miller and Taylor and the first names are Joanna Bill and Mary However their first names and family names are not necessarily in the same order as written here Their ages are 19 21 and 22 Ms Smith is three years older than Mary The student whose family name is Taylor is 21 What is the name of the youngest student O Ms Mary Taylor O Ms Joanna Taylor Mr Bill Taylor Mr Bill Smith Mr Bill Miller Jh Ms Mary Smith

The energy used in a 100 kilometres car trip is about 15 kWh Assuming that the energy content of the fuel is 10 kWh litre and the efficiency of the engine is 33 how many litres of fuel are needed for a 100 kilometres car trip Choose the best alternative 5 litres 7 5 litres 10 litres O 15 litres

Complete parts a and b a Write the inverse of y 2 in logarithmic form b Graph y 25 and its inverse and discuss the symmetry of their graphs GETES a The inverse of y 2 in logarithmic form is y log x b Use the graphing tool to graph y 2 and its inverse Click to enlarge graph KILD

Suppose that 80 000 is invested at 9 interest Find the amount of money in the account after 0 years if the interest is compounded annually If interest is compounded annually what is the amount of money after t 10 years Do not round until the final answer Then round to the nearest cent as needed

After the end of an advertising campaign the daily sales of a product fell rapidly with daily sales given by S 3900e 0 12x dollars where x is the number of days from the end of the campaign a What were daily sales when the campaign ended b How many days passed after the campaign ended before daily sales were below half of what they were at the end of the campaign a The daily sales when the campaign ended were Simplify your answer Round to the nearest cent as needed ACCES

004131 The formula A 21 26 models the population of a US state A in millions t years after 2000 Determine algebraically when the population was predicted to reach 29 8 million The population of the state will reach 29 8 million in the year Round up to the nearest year SCITE

The amount of a radioactive isotope present in a certain sample at time t is given by A t 700 0028311 grams where t years is the time since the initial amount was measured a Find the initial amount of the isotope that is present in the sample b Find the half life of this isotope That is find the number of years until half of the original amount of the isotope remains a The initial amount of the isotope that is present in the sample is grams

The formula for pH is pH log H where H is the hydrogen ion concentration The pH of a fruit juice is 3 2 What is the hydrogen ion concentration of the juice The hydrogen ion concentration H is approximately 10 Round to the nearest tenth moles per liter

e Find the inverse of the following matrix show your work 4 2 1 639 A 9 0 3 45 5

A government considers a single person as living in poverty if his or her income falls below the official poverty level which is adjusted every year for inflation The function that models the povert threshold for the years 1987 2008 is f x 3128 3 4054 2 In x dollars where x is the number of years after 1980 a What does this model give as the poverty threshold in 2014 In 20227 b Is this function increasing or decreasing c Graph the function 3128 3 4054 2 Inx for x 5 tox 45

At the end of an advertising campaign weekly sales at an electronics store declined according to the equation y 4500 302 dollars where x is the number of weeks after the end of the campaign a Graph the function for 0 sxs60 b Use the graph to find the weekly sales 10 weeks after the campaign ended c Comment on It pays to advertise for this store a Choose the correct graph below 2500 30 60 Q Q G b The weekly sales 10 weeks after the campaign ended is OB 5000 2500 0 30 60 Q 2 OC AY 5000 1 2500 10 30 Q

1 Consider the experiment of rolling a die Let A be the event getting a prime number A prime number is a whole number greater than 1 that cannot be exactly divided by any whole number other than itself and 1 B be the event getting an odd number Find the following i P A or B ii P A and B 4 mar

c A car begins driving from a stationary position It accelerates at 4m s2 for 10 seconds then travels at a steady speed for another 10 seconds all in the same direction How much distance has it covered since it started driving 5 r

b In triangle XYZ XY 40 cm YZ 57 cm and XZ 81 cm The triangle is illustrated in the following figure Find the size of the angles X Y and Z N 57 81 40 6 ma