1. Reviewing the algebraic properties of logarithms. 19v vould a stole A diavoda snota od to...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Reviewing the algebraic properties of logarithms. 19v vould a stole A diavoda snota od to (1991 If b>0, b 1, a > 0, c> 0 and r is any real number, then: ongi doum wohl al- 12 log, a + log, c q (0)18 10 dgst log, (ac) = 0 log, (a) = log, a - log, c log, (a") = r log, a e pad (a) Solve the equation. (Power property) w 100= nodw (b) Solve the equation. ce sit cto noitonut (Product property) (Quotient property) bas noilog7(2x + 9) = log7 4 + log7 12 log In(3x) In 5 - In 2 = (c) Use algebraic properties of logarithms to show that gurano toni bagge + 5log y - 6 log √xy = log ,3 to sigar od same(s) to yribolov (c) Use the Chain Rule to find y' if y = (2r³ — 5) 24. (d) Use the Chain Rule to find y' if y = sin(4x³). IT S or #151012 (5) xy si dedW (d) Spolfsmib at alsvisini Jad Jadw nO (b) 2. Reviewing the functions f(x) = e and g(x) = ln x. (a) Neatly graph f(x) = e, g(x) = ln x and h(x) = x on the same set of axes. Make sure to label their x- and y-intercepts and the asymptotes too (if they exist). What is the domain of f? What is the range of f? What is the domain of g? What is the range of g? What is the domain of h? What is the range of h? (b) Find f(g(x)) and g(f(x)). Simplify. Are f and g inverse functions? How can you tell? 3. Chain Rule Practice. (a) Use the Chain Rule to find y' if y = (3x +4)³, then check your solution using another method. (b) Use the Chain Rule to find y' if y = (5x²-x+4)², then check your solution using another method. dx 4. Applying the Chain Rule to e* and In x. Note: (a) Use the chain rule to find the derivative of (b) Use the chain rule to find the derivative of y = lne 5. Regina claims that since(e) = e it follows that (e²x) = e²x and d (ef(x)) = f(x) Why is she incorrect? Explain. Then write the correct solutions to (e²x) and (e) = e* and (lnx) = 1, x > 0. elnx without first simplifying eln without first simplifying In e. Y d d da (ef(x)). 1. Reviewing the algebraic properties of logarithms. 19v vould a stole A diavoda snota od to (1991 If b>0, b 1, a > 0, c> 0 and r is any real number, then: ongi doum wohl al- 12 log, a + log, c q (0)18 10 dgst log, (ac) = 0 log, (a) = log, a - log, c log, (a") = r log, a e pad (a) Solve the equation. (Power property) w 100= nodw (b) Solve the equation. ce sit cto noitonut (Product property) (Quotient property) bas noilog7(2x + 9) = log7 4 + log7 12 log In(3x) In 5 - In 2 = (c) Use algebraic properties of logarithms to show that gurano toni bagge + 5log y - 6 log √xy = log ,3 to sigar od same(s) to yribolov (c) Use the Chain Rule to find y' if y = (2r³ — 5) 24. (d) Use the Chain Rule to find y' if y = sin(4x³). IT S or #151012 (5) xy si dedW (d) Spolfsmib at alsvisini Jad Jadw nO (b) 2. Reviewing the functions f(x) = e and g(x) = ln x. (a) Neatly graph f(x) = e, g(x) = ln x and h(x) = x on the same set of axes. Make sure to label their x- and y-intercepts and the asymptotes too (if they exist). What is the domain of f? What is the range of f? What is the domain of g? What is the range of g? What is the domain of h? What is the range of h? (b) Find f(g(x)) and g(f(x)). Simplify. Are f and g inverse functions? How can you tell? 3. Chain Rule Practice. (a) Use the Chain Rule to find y' if y = (3x +4)³, then check your solution using another method. (b) Use the Chain Rule to find y' if y = (5x²-x+4)², then check your solution using another method. dx 4. Applying the Chain Rule to e* and In x. Note: (a) Use the chain rule to find the derivative of (b) Use the chain rule to find the derivative of y = lne 5. Regina claims that since(e) = e it follows that (e²x) = e²x and d (ef(x)) = f(x) Why is she incorrect? Explain. Then write the correct solutions to (e²x) and (e) = e* and (lnx) = 1, x > 0. elnx without first simplifying eln without first simplifying In e. Y d d da (ef(x)).
Expert Answer:
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
Students also viewed these mathematics questions
-
The Situation You are the Head of Operations for Scotiabank in the Virgin Islands, Caribbean. Your internal auditor (whose job is to check random samplings of work that has been done for accuracy and...
-
As programs become more complex, it becomes increasingly important to plan or "design" your code before writing it. Designing your code will help you organize its logic. It will also help you keep...
-
A truck with a gross weight of 30,000 pounds is parked on a slope of d° (see figure). Assume that the only force to overcome is the force of gravity. (a) Find the force required to keep the truck...
-
Why should cash-handling and cash-recording activities be separated? How is this separation accomplished?
-
Which costing system is most likely to produce the least cost distortion? a. Traditional costing system b. Plantwide overhead rate c. Departmental overhead allocation rates d. Activity-based costing
-
Here are the actual tabulated demands for an item for a nine- month period (January through September). Your supervisor wants to test two forecasting methods to see which method was better over this...
-
A ( n ) _ _ _ _ _ _ _ _ _ _ contains information about a given person, product, or event. Attribute Column Field Record
-
What is the distinction among regulating and aspect of people; regulating financial matters examines the activities. Positive financial aspects considers the activities matters features the positive...
-
Create a server that will wait for a client to connect to it and do the following in order: a.Wait for a password (string) from the client b.Evaluate the string sent by the client according to the...
-
Your client has an issue with a complex taxation issue. What advice would you give to escalate their taxation issues?
-
Describe an overview of financial accounting. Discuss in detail. As part of your description of your description please describe the purpose of financial accounting including the type of decision...
-
1. What is Joe's AGI? 2. If Joe is single, will he take the standard deduction or itemized deductions? 3. How much are his itemized deductions? Joe has the following fact pattern: Salary income...
-
What do you believe is the purpose of financial accounting, and who are users of that information? Who is generally credited with "inventing" modern accounting, and when and where did he create it?
-
The text argues that if an activity is known to be profitable, more people will go into that activity and the profits will disappear. Does that apply to the selling of cocaine? (a) The costs of...
-
A bubble-point liquid feed is to be distilled as shown in Figure. Use the Edmister group method to estimate the mole-fraction compositions of the distillate and bottoms. Assume initial overhead and...
-
Professor Patricia (Patty) Pate is retired from the PalmSprings Culinary Arts Academy (PSCAA). She is a single taxpayer and is 68 years old. Patty lives at 98 Colander Street, Henderson, NV 89052....
-
Mike sells his home to Jane on April 2, 2012. Jane pays the property taxes covering the full calendar year in October, which amount to $2,500. How much may Mike and Jane each deduct for property...
-
Mike purchases a heavy-duty truck (5-year class recovery property) for his delivery service on April 30, 2012. The truck is not considered a passenger automobile for purposes of the listed property...
-
Explain why it is acceptable to estimate reduced-form equations by least squares.
-
Our aim is to estimate the parameters of the simultaneous equations model We assume that \(x_{1}\) and \(x_{2}\) are exogenous and uncorrelated with the error terms \(e_{1}\) and \(e_{2}\). a. Solve...
-
Describe the two-stage least squares estimation procedure for estimating an equation in a simultaneous equations model, and explain how it resolves the estimation problem for least squares.
Study smarter with the SolutionInn App