Math

CalculusFinite Mathematics and Applied Calculus (MindTap Course List)In Exercises 31–42, use implicit differentiation to find (a) the slope of the tangent line and (b) the equation of the tangent line at the indicated point on the graph. (Round answers to four decimal places as needed.) If only the x-coordinate is given, you must also find the y-coordinate. [ HINT: See Example 2 and 3.] 4 x 2 + 2 y 2 = 12 , ( 1 , − 2 )BuyFind*arrow_forward*

7th Edition

Stefan Waner + 1 other

Publisher: Cengage Learning

ISBN: 9781337274203

Chapter 11.6, Problem 31E

Textbook Problem

In Exercises 31–42, use implicit differentiation to find *(a)**the slope of the tangent line and* *(b)**the equation of the tangent line at the indicated point on the graph. (Round answers to four decimal places as needed.) If only the x-coordinate is given, you must also find the y-coordinate.* [**HINT:** See Example 2 and 3.]

Finite Mathematics and Applied Calculus (MindTap Course List)

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Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...

Ch. 11.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 11.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 11.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 11.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 11.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 11.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - 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GE Net Income 2009-2013 The annual net income of...Ch. 11.1 - GE Net Income 20072011 The annual net income of...Ch. 11.1 - Ecology Increasing numbers of manatees (sea...Ch. 11.1 - SAT Scores by Income The following graph shown...Ch. 11.1 - Market Share: Smartphones The following graph...Ch. 11.1 - Market Share: Smartphones The following graph...Ch. 11.1 - What instructions would you give to a fellow...Ch. 11.1 - What instructions would you give to a fellow...Ch. 11.1 - Consider f(x)=x2 and g(x)=2x2 =. 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Biology-Reproduction The Verhulst model for...Ch. 11.3 - Biology-Reproduction Another model, the predator...Ch. 11.3 - Embryo Development Bird embryos consume oxygen...Ch. 11.3 - Embryo Developmen Turkey embryos consume oxy- gen...Ch. 11.3 - If f and g are functions of time, and at time t=3,...Ch. 11.3 - If f and g are functions of time, and at time t=2,...Ch. 11.3 - If f and g are functions of time, and at time t=3,...Ch. 11.3 - If f and g are functions of time, and at time t=2,...Ch. 11.3 - You have come across the following in a newspaper...Ch. 11.3 - Your friend says that because average cost is...Ch. 11.3 - Find a demand function q(p) suchthat, at a price...Ch. 11.3 - What must be true about a demand function q(p)...Ch. 11.3 - You and I are both selling a steady 20 T-shirts...Ch. 11.3 - You and I are both selling T-shirts for a steady...Ch. 11.3 - Marginal Product (from the GRE Economics Test)...Ch. 11.3 - Marginal Cost (based on a question from the GRE...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - 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The...Ch. 11.4 - Food versus Education The percentage y (of total...Ch. 11.4 - Food versus Recreation The percentage y (of total...Ch. 11.4 - Marginal Revenue The weekly revenue from the sale...Ch. 11.4 - Marginal Revenue The weekly revenue from the sale...Ch. 11.4 - Crime Statistics The murder rate in large cities...Ch. 11.4 - Crime Statistics Following is a quadratic model...Ch. 11.4 - Existing Home Sales The following graph shows the...Ch. 11.4 - Existing Home Sales Leading to the Financial...Ch. 11.4 - Pollution An offshore oil well is leaking oil and...Ch. 11.4 - Mold A mold culture in a dorm refrigerator is...Ch. 11.4 - Budget Overruns The Pentagon is planning to build...Ch. 11.4 - Soap Bubbles The soap bubble I am blowing has a...Ch. 11.4 - Revenue Growth The demand for the Cyberpunk II...Ch. 11.4 - Information Highway The amount of information...Ch. 11.4 - Money Stock Exercises 97100 are based on the...Ch. 11.4 - Money Stock Exercises 97100 are based on the...Ch. 11.4 - Money Stock Exercises 97100 are based on the...Ch. 11.4 - Money Stock Exercises 97100 are based on the...Ch. 11.4 - Complete the following: The derivative of 1 over a...Ch. 11.4 - Complete the following: The derivative of the...Ch. 11.4 - Say why the following was marked wrong, and give...Ch. 11.4 - Say why the following was marked wrong, and give...Ch. 11.4 - Name two major errors in the following graded test...Ch. 11.4 - Name two major errors in the following graded test...Ch. 11.4 - Formulate a simple procedure for deciding whether...Ch. 11.4 - Give an example of a function f with the property...Ch. 11.4 - Give an example of a function f with the property...Ch. 11.4 - What can you say about the composite of two linear...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - 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Investments If $20,000 is invested in a savings...Ch. 11.5 - The 2003 SARS Outbreak In the early stages of the...Ch. 11.5 - The 2003 SARS Outbreak A few weeks into the deadly...Ch. 11.5 - The 2014 Ebola Outbreak In the first 6 months of...Ch. 11.5 - The 2014 Ebola Outbreak In the first 6 months of...Ch. 11.5 - SAT Scores by Income The following bar graph shows...Ch. 11.5 - SAT Scores by Income The following bar graph shows...Ch. 11.5 - Demographics: Average Age and Fertility The...Ch. 11.5 - Demographics: Average Age and Fertility The...Ch. 11.5 - Epidemics A flu epidemic described in Example 1 in...Ch. 11.5 - Epidemics Another epidemic follows the curve...Ch. 11.5 - Subprime Mortgages during the Housing Bubble...Ch. 11.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 11.5 - Subprime Mortgages during the Housing Bubble...Ch. 11.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 11.5 - Population Growth The population of Lower Anchovia...Ch. 11.5 - Population Growth The population of Upper Anchovia...Ch. 11.5 - Radioactive Decay Plutonium 239 has a half-life of...Ch. 11.5 - Radioactive Decay Carbon 14 has a half-life of...Ch. 11.5 - Cellphone Revenues The number of cellphone...Ch. 11.5 - Cellphone Revenues The annual revenue for...Ch. 11.5 - Complete the following: The derivative of e raised...Ch. 11.5 - Complete the following: The derivative of the...Ch. 11.5 - Complete the following: The derivative of 2 raised...Ch. 11.5 - Complete the following: The derivative of the base...Ch. 11.5 - What is wrong with the following?...Ch. 11.5 - What is wrong with the following? ddx22x=(2)22x X...Ch. 11.5 - What is wrong with the following? ddx32x=(2x)32x1...Ch. 11.5 - What is wrong with the following? ddxln(3x21)=16x...Ch. 11.5 - The number N of music downloads on campus is...Ch. 11.5 - The number N of graphing calculators sold on...Ch. 11.5 - Show that the fractional rate of change of the...Ch. 11.5 - Show that the fractional rate of change of f(x) is...Ch. 11.5 - Let A(t) representa quantity growing...Ch. 11.5 - 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In Exercises 43-52, use logarithmic...Ch. 11.6 - In Exercises 43-52, use logarithmic...Ch. 11.6 - Productivity The number of CDs per hour that...Ch. 11.6 - Productivity The number of cellphone accessory...Ch. 11.6 - Demand The demand equation for soccer tournament...Ch. 11.6 - Cost Equations The cost C (in cents) of producing...Ch. 11.6 - Housing Costs61 The cost C (in dollars) of...Ch. 11.6 - Employment An employment research company...Ch. 11.6 - Grades62 A productivity formula for a students...Ch. 11.6 - Grades Repeat Exercise 59 using the following...Ch. 11.6 - Exercises 61 and 62 are based on the following...Ch. 11.6 - Exercises 61 and 62 are based on the following...Ch. 11.6 - Fill in the missing terms: The equation x=y3+y3...Ch. 11.6 - Fill in the missing terms: When x0 in the equation...Ch. 11.6 - Use logarithmic differentiation to give another...Ch. 11.6 - Use logarithmic differentiation to give a proof of...Ch. 11.6 - If y is given explicitly as a function of x by an...Ch. 11.6 - Explain why one should not expect dy/dx tobe a...Ch. 11.6 - If y is a function of x and dy/dx0 atsome point,...Ch. 11.6 - If you are given an equation in x and y such that...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - 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In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 53-56, find the limit: limx+x2ex2Ch. 11 - In Exercises 53-56, find the limit: limxxexCh. 11 - In Exercises 53-56, find the limit: limx0x2ex21Ch. 11 - In Exercises 53-56, find the limit:...Ch. 11 - Sales OHaganBooks.com fits the cubic curve...Ch. 11 - Rising Sea Level Marjory Duffin is still toying...Ch. 11 - Cost As OHaganBooks.coms sales increase, so do its...Ch. 11 - Cost OHaganBooks.com has been experiencing a run...Ch. 11 - Revenue At the moment, OHaganBooks.com is selling...Ch. 11 - Revenue Because of ongoing problems with its large...Ch. 11 - Percentage Rate of Change of Revenue The...Ch. 11 - P/E Ratios At the beginning of last week,...Ch. 11 - P/E Ratios Refer to Exercise 64. Jay Campbell, who...Ch. 11 - Percentage Rate of Change of P/E Ratios Refer to...Ch. 11 - Sales OHaganBooks.com decided that the cubic curve...Ch. 11 - Rising Sea Level Upon some reflection, Marjory...Ch. 11 - Website Activity The number of hits on...Ch. 11 - Website Activity The number of hits on...Ch. 11 - Demand and Revenue The price p that...Ch. 11 - Demand and Revenue The price p that...Ch. 11 - Find limt+N(t) forboth models, and interpret the...

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