×
Log in to StudySoup
Get Full Access to UH - MATH 1314 - Study Guide - Midterm
Join StudySoup for FREE
Get Full Access to UH - MATH 1314 - Study Guide - Midterm

Already have an account? Login here
×
Reset your password

UH / Math / MATH 1314 / the following table of values gives a company's annual profits in mill

the following table of values gives a company's annual profits in mill

the following table of values gives a company's annual profits in mill

Description

School: University of Houston
Department: Math
Course: Calculus for Business / Life Sciences
Professor: Mary flagg
Term: Fall 2015
Tags: Math, Calculus, businesscalculus, math1314, Studyguide, Lecture Notes, and classnotes
Cost: 50
Name: BUSINESS CALCULS STUDY GUIDE
Description: THIS IS THE STUDY GUIDE FOR BUSINESS CAL. FIRST EXAM
Uploaded: 02/22/2017
20 Pages 250 Views 0 Unlocks
Reviews


  Math 1314  Test 2 Review  Lessons 2 – 8  1. Given 3 fx x x () 2 2 = −− .  A. Find any zeros of f.  Command:  Answer:  B. Find any local (relative) extrema of f.  Command: Answer:  C. Find f '( 0.25) − and ''( 0.25) f − Command: Answer:  x e x f xx 2 2 2 32 ( ) 1 2. Given  − + − = − .  A. Find any zeros of f.  Command:  Answer:  B. Find any extremum of f.  Command: Answer: 1314 Test 2 Review 1    3. The following table of values gives a company’s annual profits in millions of dollars.  Rescale the data so that the year 2003 corresponds to x = 0. Create a list of points.   Year 2003 2004 2005 2006 2007 2008 Profits (in millions of dollars) 31.3 32.7 31.8 33.7 35.9 36.1


What will be the bacteria population 6 hours after the experiment begins?



Don't forget about the age old question of nutr 2030 clemson

A. Find the cubic regression model for the data.  Command: Answer:  B. Find the R 2 value for the cubic regression model.  Command: Answer:  C. Use the cubic regression model to predict the company's profits in 2010.  Command: Answer:  D. Find the exponential regression model for this data.  Command: Answer:  4. The graph of f ( ) x is shown below.  → − − B. 4 lim ( ) f x → − + C. 4 lim ( ) A.  4 x f x x x lim ( ) f x → −1314 Test 2 Review 2    ⎧ − ≤− ⎪ 2 5, 1 x x 5. Suppose 2 fx x x ( ) 8, 1 2 = − −< ≤ ⎨⎪⎩−+ > 3 x x 1, 2 Determine, if they exist,  A. lim ( ) B. lim ( ) C.lim ( ) fx fx fx − + x x x →− →− → − 1 1 1 D. lim ( ) . lim ( ) .lim ( ) fx E fx F fx − + x x x → → → 2 2 2 6. ( ) 2 4 limx − + 7.  lim 3 8 x → x −  x 5 x → 2 1 3 lim2 x + 25 limx − 8.  − 9.  x 2 8 → x 4 x 2 5 6 limx x → − x 5 10.  + + x 2 → − x 2 + Command: Answer:  9 3 lim11.  x + − x → x 0 Command: Answer: 1314 Test 2 Review 3    Limits at infinity: Compare the degree of the numerator and the degree of the  denominator.  ∙ If the degree of the numerator is smaller than the degree of the denominator, then  ( ) lim = →∞ g x f x x 0. ( ) ∙ If the degree of the numerator is the same as the degree of the denominator, then  ( ) limg x f x you can find ( ) x→∞ by making a fraction from the leading coefficients of the  numerator and denominator and then reducing to lowest terms.  ∙ If the degree of the numerator is larger than the degree of the denominator, then  it’s best to work the problem viewing the graph in GGB. You can then decide if  the function approaches ∞ or − ∞ . This limit does not exist, but the ∞ or − ∞ is  more descriptive.  10 lim2 − 12.  x x − →∞ x x 3 4 2 13.  3 2 + −− 5 71 limx x x 2 4 + − → −∞ x x x 2 7 3 − 14.  1 limx − →∞ x x x 7 2 Enter the function into GGB. Look at the graph to determine your answer. 1314 Test 2 Review 4    15. The graph of ( ) f x is shown below. Which of the following statements is true?  lim ( ) I.  2 x f x →  exists and is equal to 3.  II. 5 lim ( ) x f x → − exists and is equal to 3.  III.  lim ( ) f x  does not exist.  x → 6 IV.  lim ( ) f x  does not exist; there is a hole where x = 2.  x → 2 V. 4 lim ( ) x f x → does not exists; there is unbounded behavior as x approaches 4. 1314 Test 2 Review 5    16. The graph of ( ) f x is shown below. Which of the following statements is true?  I. The function is continuous at x = 3.  II. The function is discontinuous at x = 3 because  lim ( ) f x  does not exist.  x → 3 III. The function is discontinuous at x = 3 because f(3) does not exist.  IV. The function is discontinuous at x = 3 because even though f(3) exists and lim ( ) f x x → 3 exists, the two quantities are not equal.  17. Find the first and second derivative: 432 f () 5 3 8 7 1 xxxxx = − + +− 4 x x f xx e 3 5 ( ) ln( 1) x 18. Let  − = − + 2 A. Find the slope of the tangent line at x = 3.  Command: Answer:  B. Write the equation of the tangent line at the given point.  Command: Answer: 1314 Test 2 Review 6    19. Find the average rate of change of 2 f ( ) 0.28 0.11 xxx = − on the interval  [1.5, 4]. Recall: f ( ) () x h fx + − = average rate of change/difference quotient h Command: Answer:  20. The model gives the number of bacteria in a culture  t hours after an experiment begins. What will be the bacteria population 6 hours after the  experiment begins?  Command: Answer:  21. A country’s gross domestic product (GDP) in billions of dollars, t years from now, is  projected to be for 0 ≤ t ≤ 5. What will be the rate of change of  the country’s GDP 2 years from now?    22. A ball is thrown upwards from the roof of a building at time t = 0. The height of the  ball in feet is given by , where t is measured in seconds.  Find the velocity of the ball after 3 seconds. 1314 Test 2 Review 7    23. Suppose a manufacturer has monthly fixed costs of $250,000 and production costs of  $24 for each item produced. The item sells for $40. Assume all functions are linear.  State the:  A. cost function.  C x mx b ( ) = +  m = cost/unit; b = fixed costs  B. revenue function.  R( ) x px = p = selling price C. profit function.  Px Rx Cx () () () = − D. Find the break-even point. Recall: R() () x Cx = Command: Answer:1314 Test 2 Review 8    24. Cost data and demand data for a company's best-selling product are given in the  tables below. Create two lists.   Quantity produced 1,000 2,000 3,000 4,000 Total cost $13,400  $14,200  $14,900  $15,400 Quantity demanded  1,000 2,000 3,000 4,000 Price in dollars $10.75 $10.15 $9.85 $9.70


What will be the rate of change of the country’s GDP 2 years from now?



If you want to learn more check out stat 305 iowa state

A. Find linear regression model for cost.  Command: Answer:  B. Find the linear regression model for demand. Then find the revenue function.  Command: Linear Demand Equation:  Revenue Equation: Recall: R( ) x px = C. Use the linear cost and revenue function to find the number of items that must be sold  to break even on that product. Round your answer to the nearest unit.  Command: Answer: 1314 Test 2 Review 9    25. Suppose that a company has determined that the demand equation for its product is  5 3 30 0 x p +−= where p is the price of the product in dollars when x of the product are  demanded (x is given in thousands). The supply equation is given by 52 30 45 0 x p − += ,  where x is the number of units that the company will make available in the marketplace  at p dollars per unit. Find the equilibrium quantity and price.  Command: Answer:  26. Let y = 25x - 2650 be a supply equation and y = -6.5x + 1760 be a demand equation.  Find the equilibrium point.  Command: Answer:  The following formulas will be provided with Test 2.  It will be a link.  f ( ) () () () x h fx fb fa +− − = −  h ba C x mx b cx F ( ) = += + ( ) or ( ) R x sx R x xp = =  () () () Px Rx Cx = − 1314 Test 2 Review 10    Math 1314  Test 2 Review  Lessons 2 – 8  1. Given 3 fx x x () 2 2 = −− .  A. Find any zeros of f.  Command:  Answer:  B. Find any local (relative) extrema of f.  Command: Answer:  C. Find f '( 0.25) − and ''( 0.25) f − Command: Answer:  x e x f xx 2 2 2 32 ( ) 1 2. Given  − + − = − .  A. Find any zeros of f.  Command:  Answer:  B. Find any extremum of f.  Command: Answer: 1314 Test 2 Review 1    3. The following table of values gives a company’s annual profits in millions of dollars.  Rescale the data so that the year 2003 corresponds to x = 0. Create a list of points.   Year 2003 2004 2005 2006 2007 2008 Profits (in millions of dollars) 31.3 32.7 31.8 33.7 35.9 36.1


What will be the bacteria population 6 hours after the experiment begins?



We also discuss several other topics like List down the five fundamental principles of communication.
Don't forget about the age old question of m408c

A. Find the cubic regression model for the data.  Command: Answer:  B. Find the R 2 value for the cubic regression model.  Command: Answer:  C. Use the cubic regression model to predict the company's profits in 2010.  Command: Answer:  D. Find the exponential regression model for this data.  Command: Answer:  4. The graph of f ( ) x is shown below.  → − − B. 4 lim ( ) f x → − + C. 4 lim ( ) A.  4 x f x x x lim ( ) f x → −1314 Test 2 Review 2    ⎧ − ≤− ⎪ 2 5, 1 x x 5. Suppose 2 fx x x ( ) 8, 1 2 = − −< ≤ ⎨⎪⎩−+ > 3 x x 1, 2 Determine, if they exist,  A. lim ( ) B. lim ( ) C.lim ( ) fx fx fx − + x x x →− →− → − 1 1 1 D. lim ( ) . lim ( ) .lim ( ) fx E fx F fx − + x x x → → → 2 2 2 6. ( ) 2 4 limx − + 7.  lim 3 8 x → x −  x 5 x → 2 1 3 lim2 x + 25 limx − 8.  − 9.  x 2 8 → x 4 x 2 5 6 limx x → − x 5 10.  + + x 2 → − x 2 + Command: Answer:  9 3 limxx 11.  + − → x 0 Command: Answer: 1314 Test 2 Review 3    Limits at infinity: Compare the degree of the numerator and the degree of the  denominator.  ∙ If the degree of the numerator is smaller than the degree of the denominator, then  f x ( ) lim = →∞ g x x 0. ( ) ∙ If the degree of the numerator is the same as the degree of the denominator, then  ( ) limg x f x x→∞ by making a fraction from the leading coefficients of the  you can find ( ) numerator and denominator and then reducing to lowest terms.  ∙ If the degree of the numerator is larger than the degree of the denominator, then  it’s best to work the problem viewing the graph in GGB. You can then decide if  the function approaches ∞ or − ∞ . This limit does not exist, but the ∞ or − ∞ is  more descriptive.  12.  10 lim2 x x − x 3 4 →∞ x − 2 13.  3 2 5 71 limx x x + −− 2 4 x 2 7 → −∞ x x + − 3 1 lim14.  x − x 7 →∞ x x − 2 Enter the function into GGB. Look at the graph to determine your answer. 1314 Test 2 Review 4    15. The graph of ( ) f x is shown below. Which of the following statements is true?  I.  lim ( ) f x  exists and is equal to 3.  x → 2 II. 5 lim ( ) x f x → − exists and is equal to 3.  III.  lim ( ) f x  does not exist.  x → 6 IV.  V.  x f x → does not exist; there is a hole where x = 2.  2 lim ( ) lim ( ) x f x →  does not exists; there is unbounded behavior as x approaches 4. 4 1314 Test 2 Review 5    16. The graph of ( ) f x is shown below. Which of the following statements is true?  I. The function is continuous at x = 3.  II. The function is discontinuous at x = 3 because  lim ( ) f x  does not exist.  x → 3 III. The function is discontinuous at x = 3 because f(3) does not exist.  IV. The function is discontinuous at x = 3 because even though f(3) exists and lim ( ) f x x → 3 exists, the two quantities are not equal.  14. Find the first and second derivative: 432 f () 5 3 8 7 1 xxxxx = − + +− 4 x x f xx e 3 5 ( ) ln( 1) x 17. Let  − = − + 2 A. Find the slope of the tangent line at x = 3.  Command: Answer:  B. Write the equation of the tangent line at the given point.  Command: Answer: 1314 Test 2 Review 6    18. Find the average rate of change of 2 f ( ) 0.28 0.11 xxx = − on the interval  [1.5, 4]. Recall: f ( ) () x h fx + − = average rate of change/difference quotient h Command: Answer:  19. The model gives the number of bacteria in a culture  t hours after an experiment begins. What will be the bacteria population 6 hours after the  experiment begins?  Command: Answer:  20. A country’s gross domestic product (GDP) in billions of dollars, t years from now, is  projected to be for 0 ≤ t ≤ 5. What will be the rate of change of  the country’s GDP 2 years from now?    21. A ball is thrown upwards from the roof of a building at time t = 0. The height of the  ball in feet is given by , where t is measured in seconds.  Find the velocity of the ball after 3 seconds. 1314 Test 2 Review 7    22. Suppose a manufacturer has monthly fixed costs of $250,000 and production costs of  $24 for each item produced. The item sells for $40. Assume all functions are linear.  State the:  A. cost function.  C x mx b ( ) = +  m = cost/unit; b = fixed costs  B. revenue function.  R( ) x px = p = selling price C. profit function.  Px Rx Cx () () () = − D. Find the break-even point. Recall: R() () x Cx =1314 Test 2 Review 8    23. Cost data and demand data for a company's best-selling product are given in the  tables below. Create two lists.   Quantity produced 1,000 2,000 3,000 4,000 Total cost $13,400  $14,200  $14,900  $15,400 Quantity demanded  1,000 2,000 3,000 4,000 Price in dollars $10.75 $10.15 $9.85 $9.70

Don't forget about the age old question of Questions from the introductory section (Power Point presentation and class notes) • What doesthe expression “uniformity of natural causesin a closed (or open) system”mean?
If you want to learn more check out byu sfl

A. Find linear regression model for cost.  Command: Answer:  B. Find the linear regression model for demand. Then find the revenue function.  Command: Linear Demand Equation:  Revenue Equation: Recall: R( ) x px = D. Use the linear cost and revenue function to find the number of items that must be sold  to break even on that product. Round your answer to the nearest unit.  Command: Answer: 1314 Test 2 Review 9    24. Suppose that a company has determined that the demand equation for its product is  5 3 30 0 x p +−= where p is the price of the product in dollars when x of the product are  demanded (x is given in thousands). The supply equation is given by 52 30 45 0 x p − += ,  where x is the number of units that the company will make available in the marketplace  at p dollars per unit. Find the equilibrium quantity and price.  Command: Answer:  The following formulas will be provided with Test 2.  It will be a link.  f ( ) () () () x h fx fb fa +− − = −  h ba C x mx b cx F ( ) = += + ( ) or ( ) R x sx R x xp = =  () () () Px Rx Cx = − 1314 Test 2 Review 10  
Page Expired
5off
It looks like your free minutes have expired! Lucky for you we have all the content you need, just sign up here