function OR SIOPat calculates the quantity of interest, depending on the choice of input variable z. This will often rely on formulas from geometry. • First, identify the I Select ) that can cause the quantity of interest to grow larger or smaller. This input could be called æ. • Next, build the (Select ) • Next, identify the (Select) of valid values for r. derivative OR closed interval | Select) endpoints of the domain OR inflection points • Use calculus to identify all the critical numbers of the function; include the • Substitute each critical number into the original function to determine the possible extreme values. Sort them to decide which are the (Select] , as, called for,by the problem statement. inflection points OR largest and/or smallest • At all stages of problem-solving, sketching a rough [a1] can help you bridge the gap from given information to the mathematical equations you need.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In this problem, we'll describe a general strategy for word problems that require finding a largest or smallest value on a closed domain.
For an example, see CC17 Lesson Quiz: Global Optimization labeled diagram OR parabola OR scatter plot OR fixed value OR variable
• First, identify the [Select ]
v that can cause the quantity of interest to grow larger or smaller. This input could be called x.
function OR slope
• Next, build the [Select ]
'that calculates the quantity of interest, depending on the choice of input variable x. This will often rely on formulas from geometry.
• Next, identify the [Select ]
of valid values for æ.
derivative OR closed interval
• Use calculus to identify all the critical numbers of the function; include the [Select]
endpoints of the đomain OR inflection points
• Substitute each critical number into the original function to determine the possible extreme values. Sort them to decide which arę the. (Select ]
,as, called for by the problem statement.
inflection points OR largest and/or smallést
• At all stages of problem-solving, sketching a rough [a1] can help you bridge the gap from given information to the mathematical equations you need.
Transcribed Image Text:In this problem, we'll describe a general strategy for word problems that require finding a largest or smallest value on a closed domain. For an example, see CC17 Lesson Quiz: Global Optimization labeled diagram OR parabola OR scatter plot OR fixed value OR variable • First, identify the [Select ] v that can cause the quantity of interest to grow larger or smaller. This input could be called x. function OR slope • Next, build the [Select ] 'that calculates the quantity of interest, depending on the choice of input variable x. This will often rely on formulas from geometry. • Next, identify the [Select ] of valid values for æ. derivative OR closed interval • Use calculus to identify all the critical numbers of the function; include the [Select] endpoints of the đomain OR inflection points • Substitute each critical number into the original function to determine the possible extreme values. Sort them to decide which arę the. (Select ] ,as, called for by the problem statement. inflection points OR largest and/or smallést • At all stages of problem-solving, sketching a rough [a1] can help you bridge the gap from given information to the mathematical equations you need.
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