Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
10th Edition
ISBN: 9781285464640
Author: Soo T. Tan
Publisher: Brooks Cole
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Chapter 3.2, Problem 37E
To determine
To find: The derivative of given function and its value when
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Chapter 3 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQCh. 3.1 - Prob. 3CQCh. 3.1 - Prob. 4CQCh. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - Prob. 6E
Ch. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - Prob. 12ECh. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - Prob. 22ECh. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - Prob. 24ECh. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - In Exercises 1-34, find the derivative of the...Ch. 3.1 - Let f(x) = 2x3 4x. Find: a. f(2) b. f(0) c. f(2)Ch. 3.1 - Let f(x) = 4x5/4 + 2x3/2 + x. Find: a. f(4) b....Ch. 3.1 - In Exercises 37-40, find each limit by evaluating...Ch. 3.1 - In Exercises 37-40, find each limit by evaluating...Ch. 3.1 - In Exercises 37-40, find each limit by evaluating...Ch. 3.1 - Prob. 40ECh. 3.1 - In Exercises 41-44, find the slope and an equation...Ch. 3.1 - In Exercises 41-44, find the slope and an equation...Ch. 3.1 - In Exercises 41-44, find the slope and an equation...Ch. 3.1 - In Exercises 41-44, find the slope and an equation...Ch. 3.1 - Prob. 45ECh. 3.1 - Let f(x) = x3 4x2. Find the points on the graph...Ch. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Let f(x) = 14x4 x 13x3 x2. Find the points on the...Ch. 3.1 - A straight line perpendicular to and passing...Ch. 3.1 - Prob. 51ECh. 3.1 - Velocity Of Blood In An Artery The velocity (in...Ch. 3.1 - Growth Of Tablet And Smartphone Users The number...Ch. 3.1 - U.K. Mobile Phone Video Viewers As mobile phones...Ch. 3.1 - Married Couples With Children The percentage of...Ch. 3.1 - Effect Of Stopping On Average Speed According to...Ch. 3.1 - Prob. 57ECh. 3.1 - Prob. 58ECh. 3.1 - Stopping Distance Of A Racing Car During a test by...Ch. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Spending On Medicare Based on the current...Ch. 3.1 - Consumer Price Index All economy's consumer price...Ch. 3.1 - Worker Efficiency An efficiency study conducted...Ch. 3.1 - Curbing Population Growth Five years ago, the...Ch. 3.1 - Conservation Of Species A certain species of...Ch. 3.1 - Flight Of A Model Rocket The altitude (in feet) of...Ch. 3.1 - Supply Function For Satellite Radios The supply...Ch. 3.1 - Prob. 69ECh. 3.1 - Average Speed Of A Vehicle On A Highway The...Ch. 3.1 - Effect Of Advertising On Sales The relationship...Ch. 3.1 - National Health Care Expenditure The per capita...Ch. 3.1 - Prob. 73ECh. 3.1 - Aging Population The population age 65 and over...Ch. 3.1 - Prob. 75ECh. 3.1 - Prob. 76ECh. 3.1 - Prob. 77ECh. 3.1 - Prob. 78ECh. 3.1 - Prob. 1TECh. 3.1 - Prob. 2TECh. 3.1 - Prob. 3TECh. 3.1 - Prob. 4TECh. 3.1 - Prob. 5TECh. 3.1 - Prob. 6TECh. 3.1 - Prob. 7TECh. 3.1 - Prob. 8TECh. 3.2 - State the rule of differentiation in your own...Ch. 3.2 - Prob. 2CQCh. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - Prob. 7ECh. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - Prob. 10ECh. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - Prob. 12ECh. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - Prob. 14ECh. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - Prob. 16ECh. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - Prob. 26ECh. 3.2 - In Exercises 1-30, find the derivative of each...Ch. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - In Exercises 31-34. suppose f and g are functions...Ch. 3.2 - In Exercises 31-34. suppose f and g are functions...Ch. 3.2 - In Exercises 31-34. suppose f and g are functions...Ch. 3.2 - Prob. 35ECh. 3.2 - In Exercises 35-38, find the derivative of each...Ch. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - In Exercises 39-42, find the slope and an equation...Ch. 3.2 - In Exercises 39-42, find the slope and an equation...Ch. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Suppose g(x) = x2f(x) and it is known that f(2) =...Ch. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Find an equation of the tangent line to the graph...Ch. 3.2 - Prob. 47ECh. 3.2 - Let f(x) = xx2+1. Find the point(s) on the graph...Ch. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Concentration of a Drug in the Bloodstream The...Ch. 3.2 - Cost of Removing Toxic Waste A city's main water...Ch. 3.2 - Drug Dosages Thomas Young has suggested the...Ch. 3.2 - Effect Of Bactericide The number of bacteria N(t)...Ch. 3.2 - Demand Function for Sports Watches The demand...Ch. 3.2 - Revenue Function for Sports Watches Refer to...Ch. 3.2 - Profit Function For Sports Watches Refer to...Ch. 3.2 - Mortgage Rates The average 30-year fixed mortgage...Ch. 3.2 - Box-Office Receipts The total worldwide box-office...Ch. 3.2 - Unemployment Rate The unemployment rate of a...Ch. 3.2 - Home Formaldehyde Levels A study on formaldehyde...Ch. 3.2 - Change In Revenue Suppose that the demand equation...Ch. 3.2 - Change in per Capita Income The gross domestic...Ch. 3.2 - Prob. 67ECh. 3.2 - Optics The equation 1f=1p+1q sometimes called a...Ch. 3.2 - Prob. 69ECh. 3.2 - Prob. 70ECh. 3.2 - Prob. 71ECh. 3.2 - Prob. 72ECh. 3.2 - Prob. 73ECh. 3.2 - Prob. 74ECh. 3.2 - Prob. 1TECh. 3.2 - Prob. 2TECh. 3.2 - Prob. 3TECh. 3.2 - In Exercises 1-6, use the numerical derivative...Ch. 3.2 - Prob. 5TECh. 3.2 - Prob. 6TECh. 3.2 - Prob. 7TECh. 3.2 - Population Growth A major corporation is building...Ch. 3.3 - In your own words, state the Chain Rule for...Ch. 3.3 - In your own words, state the General Power Rule...Ch. 3.3 - Prob. 3CQCh. 3.3 - Prob. 4CQCh. 3.3 - In Exercises 1-48, find the derivative of each...Ch. 3.3 - Prob. 2ECh. 3.3 - In Exercises 1-48, find the derivative of each...Ch. 3.3 - Prob. 4ECh. 3.3 - In Exercises 1-48, find the derivative of each...Ch. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - In Exercises 1-48, find the derivative of each...Ch. 3.3 - Prob. 12ECh. 3.3 - In Exercises 1-48, find the derivative of each...Ch. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - In Exercises 1-48, find the derivative of each...Ch. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - In Exercises 1-48, find the derivative of each...Ch. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - In Exercises 1-48, find the derivative of each...Ch. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - In Exercises 49-54, find dydu, dudx, and dydx 49....Ch. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - In Exercises 49-54, find dydu,dudx, and dydx 54....Ch. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Prob. 61ECh. 3.3 - Prob. 62ECh. 3.3 - In Exercises 63-66, find an equation of the...Ch. 3.3 - Prob. 64ECh. 3.3 - Prob. 65ECh. 3.3 - Prob. 66ECh. 3.3 - TELEVISION VIEWERSHIP The number of viewers of a...Ch. 3.3 - DIGITAL INFORMATION CREATION The amount of digital...Ch. 3.3 - OUTSOURCING OF JOBS The cumulative number of jobs...Ch. 3.3 - SELLING PRICE OF DVD RECORDERS The rise of digital...Ch. 3.3 - BRAIN CANCER SURVIVAL RATE Glioblastoma is the...Ch. 3.3 - AGING POPULATION The population of Americans age...Ch. 3.3 - CONCENTRATION OF CARBON MONOXIDE (CO) IN THE AIR...Ch. 3.3 - CONTINUING EDUCATION ENROLLMENT The registrar of...Ch. 3.3 - Prob. 75ECh. 3.3 - EFFECT OF LUXURY TAX ON CONSUMPTION Government...Ch. 3.3 - PULSE RATE OF AN ATHLETE The pulse rate (the...Ch. 3.3 - THURSTONE LEARNING MODEL Psychologist L. L....Ch. 3.3 - Prob. 79ECh. 3.3 - ARTERIOSCLEROSIS Refer to Example 8, page 193....Ch. 3.3 - Prob. 81ECh. 3.3 - HOTEL OCCUPANCY RATES The occupancy rate of the...Ch. 3.3 - Demand for Tablet Computers The quantity demanded...Ch. 3.3 - Prob. 84ECh. 3.3 - Prob. 85ECh. 3.3 - Prob. 86ECh. 3.3 - Prob. 87ECh. 3.3 - Prob. 88ECh. 3.3 - Prob. 89ECh. 3.3 - Prob. 90ECh. 3.3 - Prob. 1TECh. 3.3 - Prob. 2TECh. 3.3 - Prob. 3TECh. 3.3 - Prob. 4TECh. 3.3 - Prob. 5TECh. 3.3 - Prob. 6TECh. 3.3 - Watching TV on Smartphones The number of people...Ch. 3.3 - Prob. 8TECh. 3.4 - Explain each term in your own words: a. Marginal...Ch. 3.4 - Prob. 2CQCh. 3.4 - The proprietor of a company finds that his...Ch. 3.4 - PRODUCTION COSTS The graph of a typical total cost...Ch. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Marginal average Cost for Producing Desks Custom...Ch. 3.4 - Prob. 6ECh. 3.4 - Average Cost for Producing CDs Find the average...Ch. 3.4 - Average Cost for Producing Microwaves Find the...Ch. 3.4 - Marginal REVENUE of a COMMITER AIR SERVICE...Ch. 3.4 - Prob. 10ECh. 3.4 - MARGINAL PROFIT FOR PRODUCING LOUDSPEAKERS Refer...Ch. 3.4 - Prob. 12ECh. 3.4 - Marginal cost. Revenue, and profit for producing...Ch. 3.4 - MARGINAL COST. REVENUE, and Profit for PRODUCING...Ch. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - month is related to the unit price by the equation...Ch. 3.4 - MARGINAL PROPENSITY to CONSUME The consumption...Ch. 3.4 - MARGINAL PROPENSITY TO CONSUME Refer to Exercise...Ch. 3.4 - Marginal Propensity to save Suppose C(x) measures...Ch. 3.4 - Marginal Propensity to save Refer to Exercise 20....Ch. 3.4 - Prob. 22ECh. 3.4 - In Exercises 23-26, find the percentage rate of...Ch. 3.4 - In Exercises 23-26, find the percentage rate of...Ch. 3.4 - In Exercises 23-26, find the percentage rate of...Ch. 3.4 - Prob. 26ECh. 3.4 - For each demand equation in Exercises 2731,...Ch. 3.4 - Prob. 28ECh. 3.4 - For each demand equation in Exercises 2731,...Ch. 3.4 - For each demand equation in Exercises 2731,...Ch. 3.4 - Prob. 31ECh. 3.4 - INFLATION The consumer price index (CPI) of a...Ch. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - ELASTICITY OF DEMAND for hair DRYERS The demand...Ch. 3.4 - ELASTICITY OF DEMAND for TIRES The management of...Ch. 3.4 - Elasticity OF Demand for DVD Rentals The...Ch. 3.4 - Elasticity OF Demand for Digital Cameras The...Ch. 3.4 - Elasticity of Demand for Exercise Bicycles The...Ch. 3.4 - Elasticity OF Demand For Sports Watches The demand...Ch. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.5 - a. What is the second derivative of a function f?...Ch. 3.5 - Prob. 2CQCh. 3.5 - Prob. 3CQCh. 3.5 - Prob. 4CQCh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - In Exercises 1-20, find the first and second...Ch. 3.5 - Prob. 8ECh. 3.5 - In Exercises 1-20, find the first and second...Ch. 3.5 - In Exercises 1-20, find the first and second...Ch. 3.5 - Prob. 11ECh. 3.5 - Prob. 12ECh. 3.5 - In Exercises 1-20, find the first and second...Ch. 3.5 - In Exercises 1-20, find the first and second...Ch. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - In Exercises 1-20, find the first and second...Ch. 3.5 - In Exercises 21-28, find the third derivative of...Ch. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - acceleration of a car The distance s (in feet)...Ch. 3.5 - auto transmissions .and fuel economy In trying to...Ch. 3.5 - Alzheimer'S Disease As baby boomers enter their...Ch. 3.5 - Crime Rates The number of major crimes committed...Ch. 3.5 - gdp of a developing country A developing countrys...Ch. 3.5 - sales of vinyl records Vinyl records (LPs) almost...Ch. 3.5 - Median Age of U.S. Population The median age (in...Ch. 3.5 - Obesity in America The body mass index (BMI)...Ch. 3.5 - Test Flight of a Vtol In a test flight of the...Ch. 3.5 - Air Purification During testing of a certain brand...Ch. 3.5 - Prob. 40ECh. 3.5 - AGING POPULATION The population of Americans age...Ch. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - In Exercises 42-46, determine whether the...Ch. 3.5 - Prob. 46ECh. 3.5 - Prob. 47ECh. 3.5 - Prob. 48ECh. 3.5 - Prob. 49ECh. 3.5 - Prob. 50ECh. 3.5 - Prob. 1TECh. 3.5 - Prob. 2TECh. 3.5 - Prob. 3TECh. 3.5 - Prob. 4TECh. 3.5 - Prob. 5TECh. 3.5 - Prob. 6TECh. 3.5 - Prob. 7TECh. 3.5 - Prob. 8TECh. 3.6 - a. Suppose the equation F(x, y) = 0 defines y as a...Ch. 3.6 - Prob. 2CQCh. 3.6 - In your own words, describe what a related-rates...Ch. 3.6 - Give the steps that you would use to solve a...Ch. 3.6 - Prob. 1ECh. 3.6 - In Exercises 1-8, find the derivative dy/dx (a) by...Ch. 3.6 - In Exercises 1-8, find the derivative dy/dx (a) by...Ch. 3.6 - Prob. 4ECh. 3.6 - In Exercises 1-8, find the derivative dy/dx (a) by...Ch. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - In Exercises 9-30, find dy/dx by implicit...Ch. 3.6 - Prob. 14ECh. 3.6 - In Exercises 9-30, find dy/dx by implicit...Ch. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Prob. 22ECh. 3.6 - In Exercises 9-30, find dy/dx by implicit...Ch. 3.6 - In Exercises 9-30, find dy/dx by implicit...Ch. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - In Exercises 31-34, find an equation of the...Ch. 3.6 - Prob. 32ECh. 3.6 - In Exercises 31-34, find an equation of the...Ch. 3.6 - In Exercises 31-34, find an equation of the...Ch. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - Prob. 38ECh. 3.6 - Volume of a Cylinder The volume of a...Ch. 3.6 - Distance Between Two Cars A car leaves an...Ch. 3.6 - Effect of Price on Demand for Tires Suppose the...Ch. 3.6 - Effect of Price on Supply of Tires Suppose the...Ch. 3.6 - Effect of Price on Demand for Headphones The...Ch. 3.6 - Effect of Price on Supply of Eggs Suppose the...Ch. 3.6 - Effect of Supply on price of Eggs Refer to...Ch. 3.6 - Elasticity of Demand for Ink-Jet Cartridges The...Ch. 3.6 - Elasticity of demand for CDs The demand function...Ch. 3.6 - Prob. 48ECh. 3.6 - Output of a Country Suppose that the output Q of a...Ch. 3.6 - Volume of a Cube The volume V of a cube with sides...Ch. 3.6 - Oil Spills In calm waters, the oil spilling from...Ch. 3.6 - Distance Between Two Ships Two ships leave the...Ch. 3.6 - Oil. Spills In calm waters, the oil spilling from...Ch. 3.6 - Distance Between Two Cars a car leaves an...Ch. 3.6 - Prob. 55ECh. 3.6 - Watching a Helicopter Take off At a distance of 50...Ch. 3.6 - Watching a rowing Race a spectator watches a...Ch. 3.6 - Docking A Boat A boat is pulled toward a dock by...Ch. 3.6 - A Melting Snowball Assume that a snowball is in...Ch. 3.6 - Blowing soap Bubbles Carlos is blowing air into a...Ch. 3.6 - Coast Guard Patrol search mission The pilot of a...Ch. 3.6 - FILLING A COFFEE POT A coffee pot in the form of a...Ch. 3.6 - Prob. 63ECh. 3.6 - A Sliding Ladder A 20-ft ladder leaning against a...Ch. 3.6 - A Sliding Ladder The base of a 13-ft ladder...Ch. 3.6 - Flow of Water from a Tank Water flows from a tank...Ch. 3.6 - Prob. 67ECh. 3.6 - Prob. 68ECh. 3.6 - Prob. 69ECh. 3.6 - Prob. 70ECh. 3.6 - Prob. 71ECh. 3.6 - Prob. 72ECh. 3.6 - Prob. 73ECh. 3.6 - Prob. 74ECh. 3.7 - 1. If y = y(x), what is the differential of x?...Ch. 3.7 - Prob. 2CQCh. 3.7 - Prob. 3CQCh. 3.7 - Prob. 4CQCh. 3.7 - Prob. 1ECh. 3.7 - Prob. 2ECh. 3.7 - Prob. 3ECh. 3.7 - Prob. 4ECh. 3.7 - Prob. 5ECh. 3.7 - Prob. 6ECh. 3.7 - Prob. 7ECh. 3.7 - Prob. 8ECh. 3.7 - Prob. 9ECh. 3.7 - Prob. 10ECh. 3.7 - Prob. 11ECh. 3.7 - Prob. 12ECh. 3.7 - Prob. 13ECh. 3.7 - Prob. 14ECh. 3.7 - Prob. 15ECh. 3.7 - Prob. 16ECh. 3.7 - Prob. 17ECh. 3.7 - Prob. 18ECh. 3.7 - Prob. 19ECh. 3.7 - Prob. 20ECh. 3.7 - In Exercises 19-26, use differentials to...Ch. 3.7 - In Exercises 19-26, use differentials to...Ch. 3.7 - Prob. 23ECh. 3.7 - Prob. 24ECh. 3.7 - Prob. 25ECh. 3.7 - Prob. 26ECh. 3.7 - Prob. 27ECh. 3.7 - Prob. 28ECh. 3.7 - Error Estimation The length of each edge of a cube...Ch. 3.7 - Estimating the Amount of Paint Required A coat of...Ch. 3.7 - Estimating the Amount of Rust-Proofer Required A...Ch. 3.7 - Growth of a CANCEROUS tumor The volume of a...Ch. 3.7 - Prob. 33ECh. 3.7 - Prob. 34ECh. 3.7 - learning curves The length of time (in seconds) a...Ch. 3.7 - effect of advertising on profits The relationship...Ch. 3.7 - Prob. 37ECh. 3.7 - Prob. 38ECh. 3.7 - Prob. 39ECh. 3.7 - Prob. 40ECh. 3.7 - Prob. 41ECh. 3.7 - Forecasting Commodity Prices A certain countrys...Ch. 3.7 - Prob. 43ECh. 3.7 - Air Pollution The amount of nitrogen dioxide, a...Ch. 3.7 - Effect of Community Investment on Crime A...Ch. 3.7 - Prob. 46ECh. 3.7 - Prob. 47ECh. 3.7 - Prob. 48ECh. 3.7 - Prob. 49ECh. 3.7 - Prob. 50ECh. 3.7 - Prob. 1TECh. 3.7 - Prob. 2TECh. 3.7 - Prob. 3TECh. 3.7 - Prob. 4TECh. 3.7 - Prob. 5TECh. 3.7 - Prob. 6TECh. 3.7 - Prob. 7TECh. 3.7 - Prob. 8TECh. 3 - a. If c is a constant, then ddx(c)=__________. b....Ch. 3 - Prob. 2CRQCh. 3 - Prob. 3CRQCh. 3 - Prob. 4CRQCh. 3 - Prob. 5CRQCh. 3 - Prob. 6CRQCh. 3 - Prob. 7CRQCh. 3 - Prob. 8CRQCh. 3 - Prob. 9CRQCh. 3 - Prob. 10CRQCh. 3 - Prob. 1RECh. 3 - In Exercises 1-30, find the derivative of the...Ch. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - In Exercises 31-36, find the second derivative of...Ch. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - In Exercises 37-42, find dy/dx by implicit...Ch. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Use a differential to approximate 26.83Ch. 3 - Prob. 47RECh. 3 - Prob. 49RECh. 3 - Prob. 50RECh. 3 - Prob. 51RECh. 3 - Prob. 52RECh. 3 - U.k. Digital Video Viewers Digital video viewing...Ch. 3 - adult obesity In the United States, the percentage...Ch. 3 - Sales of Cameras The shipments of Lica digital...Ch. 3 - Prob. 56RECh. 3 - Population Growth in A Suburb The population of a...Ch. 3 - Prob. 58RECh. 3 - Cable TV Subscribers The number of subscribers to...Ch. 3 - Prob. 60RECh. 3 - Male Life Expectancy Suppose the life expectancy...Ch. 3 - Prob. 62RECh. 3 - Prob. 63RECh. 3 - Prob. 64RECh. 3 - Marginal Cost The total daily cost (in dollars)...Ch. 3 - Prob. 66RECh. 3 - Demand for Photocopying Machines The weekly demand...Ch. 3 - Prob. 68RECh. 3 - Prob. 69RECh. 3 - Prob. 70RECh. 3 - Prob. 71RECh. 3 - Prob. 72RECh. 3 - Prob. 73RECh. 3 - Motion of an Object The position of an object...Ch. 3 - Prob. 1BMCh. 3 - Prob. 2BMCh. 3 - Prob. 3BMCh. 3 - Prob. 4BMCh. 3 - Prob. 5BMCh. 3 - Prob. 6BM
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- please solve with full steps pleasearrow_forward4. Identify at least two mistakes in Francisco's work. Correct the mistakes and complete the problem by using the second derivative test. 2f 2X 2. Find the relative maximum and relative minimum points of f(x) = 2x3 + 3x² - 3, using the First Derivative Test or the Second Derivative Test. bx+ bx 6x +6x=0 12x- af 24 = 0 x=0 108 -2 5. Identify at least three mistakes in Francisco's work. Then sketch the graph of the function and label the local max and local min. 1. Find the equation of the tangent line to the curve y=x-2x3+x-2 at the point (1.-2). Sketch the araph of y=x42x3+x-2 and the tangent line at (1,-2) y' = 4x-6x y' (1) = 4(1) - 667 - 2 = 4(-2)4127-6(-2) 5-8-19-20 =arrow_forward۳/۱ R2X2 2) slots per pole per phase = 3/31 B=18060 msl Ka, Sin (1) Kdl Isin ( sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 120*50 5) Synchronous speed, 120 x 50 S1000-950 1000 Copper losses 5kw 50105 Rotor input 5 0.05 loo kw 6) 1 1000rpm اذا ميريد شرح الكتب فقط Look = 7) rotov DC ined sove in peaper PU + 96er Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the convergence sum if possible. 3" 6" Σ=1 (2-1) π X9arrow_forward
- 1 R2 X2 2) slots per pole per phase = 3/31 B = 180 - 60 msl Kd Kol, Sin (no) Isin (6) 2 sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed; 120*50 Looo rem G S = 1000-950 solos 1000 Copper losses: 5kw Rotor input: 5 loo kw 0.05 1 اذا میرید شرح الكتب فقط look 7) rotor DC ined sove in pea PU+96er Q2// Find the volume of the solid bounded above by the cynnuer 2=6-x², on the sides by the cylinder x² + y² = 9, and below by the xy-plane. Q041 Convert 2 2x-2 Lake Gex 35 w2x-xབོ ,4-ཙཱཔ-y √4-x²-yz 21xy²dzdydx to(a) cylindrical coordinates, (b) Spherical coordinates. 201 25arrow_forwardshow full work pleasearrow_forward3. Describe the steps you would take to find the absolute max of the following function using Calculus f(x) = : , [-1,2]. Then use a graphing calculator to x-1 x²-x+1 approximate the absolute max in the closed interval.arrow_forward
- (7) (12 points) Let F(x, y, z) = (y, x+z cos yz, y cos yz). Ꮖ (a) (4 points) Show that V x F = 0. (b) (4 points) Find a potential f for the vector field F. (c) (4 points) Let S be a surface in R3 for which the Stokes' Theorem is valid. Use Stokes' Theorem to calculate the line integral Jos F.ds; as denotes the boundary of S. Explain your answer.arrow_forward(3) (16 points) Consider z = uv, u = x+y, v=x-y. (a) (4 points) Express z in the form z = fog where g: R² R² and f: R² → R. (b) (4 points) Use the chain rule to calculate Vz = (2, 2). Show all intermediate steps otherwise no credit. (c) (4 points) Let S be the surface parametrized by T(x, y) = (x, y, ƒ (g(x, y)) (x, y) = R². Give a parametric description of the tangent plane to S at the point p = T(x, y). (d) (4 points) Calculate the second Taylor polynomial Q(x, y) (i.e. the quadratic approximation) of F = (fog) at a point (a, b). Verify that Q(x,y) F(a+x,b+y). =arrow_forward(6) (8 points) Change the order of integration and evaluate (z +4ry)drdy . So S√ ² 0arrow_forward
- (10) (16 points) Let R>0. Consider the truncated sphere S given as x² + y² + (z = √15R)² = R², z ≥0. where F(x, y, z) = −yi + xj . (a) (8 points) Consider the vector field V (x, y, z) = (▼ × F)(x, y, z) Think of S as a hot-air balloon where the vector field V is the velocity vector field measuring the hot gasses escaping through the porous surface S. The flux of V across S gives the volume flow rate of the gasses through S. Calculate this flux. Hint: Parametrize the boundary OS. Then use Stokes' Theorem. (b) (8 points) Calculate the surface area of the balloon. To calculate the surface area, do the following: Translate the balloon surface S by the vector (-15)k. The translated surface, call it S+ is part of the sphere x² + y²+z² = R². Why do S and S+ have the same area? ⚫ Calculate the area of S+. What is the natural spherical parametrization of S+?arrow_forward(1) (8 points) Let c(t) = (et, et sint, et cost). Reparametrize c as a unit speed curve starting from the point (1,0,1).arrow_forward(9) (16 points) Let F(x, y, z) = (x² + y − 4)i + 3xyj + (2x2 +z²)k = - = (x²+y4,3xy, 2x2 + 2²). (a) (4 points) Calculate the divergence and curl of F. (b) (6 points) Find the flux of V x F across the surface S given by x² + y²+2² = 16, z ≥ 0. (c) (6 points) Find the flux of F across the boundary of the unit cube E = [0,1] × [0,1] x [0,1].arrow_forward
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