Graph the function y=9√3x+18 cos (x), 0≤x≤2x by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points, finding where the curve is increasing and where it is decreasing. finding the points of inflection and concavity, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any (Type an ordered pair. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. There are no local maxima Identify where the curve is increasing or decreasing. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice A. x 3x The curve increases on the open interval(s) 22 and decreases on the open interval(s) (Type your answers in interval notation Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed) KIN OB. The curve increases on the open interval(s) and does not decrease (Type your answer in interval notation Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed) OC. The curve does not increase and decreases on the open interval(s) (Type your answer in interval notation. Type an exact answer, using a as needed. Use integers or tractions for any numbers in the expression Use a comma to separate answers as needed.) OD. The curve neither increases nor decreases

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Graph the function y=9√3x + 18 cos (x), 0≤x≤2x by identifying the domain and any symmetries, finding the
derivatives y' and y", finding the critical points, finding where the curve is increasing and where it is decreasing,
finding the points of inflection and concavity, identifying any asymptotes, and plotting any key points such
as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any
(Type an ordered pair. Type an exact answer, using as needed. Use integers or fractions for any
numbers in the expression. Use a comma to separate answers as needed.)
OB. There are no local maxima.
Identify where the curve is increasing or decreasing. Select the correct choice below and, if necessary, fill in the
answer box(es) to complete your choice
A.
л Зл
22
KI2
The curve increases on the open interval(s)
(Type your answers in interval notation Type an exact answer, using as needed. Use integers or
fractions for any numbers in the expression. Use a comma to separate answers as needed)
and decreases on the open interval(s) 0,
B. The curve increases on the open interval(s)
and does not decrease
(Type your answer in interval notation Type an exact answer, using as needed. Use integers or fractions
for any numbers in the expression. Use a comma to separate answers as needed)
OC. The curve does not increase and decreases on the open interval(s)
(Type your answer in interval notation. ype an exact answer, using z as needed. Use integers or fractions
for any numbers in the expression Use a comma to separate answers as needed.)
OD. The curve neither increases nor decreases
Transcribed Image Text:Graph the function y=9√3x + 18 cos (x), 0≤x≤2x by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points, finding where the curve is increasing and where it is decreasing, finding the points of inflection and concavity, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any (Type an ordered pair. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. There are no local maxima. Identify where the curve is increasing or decreasing. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice A. л Зл 22 KI2 The curve increases on the open interval(s) (Type your answers in interval notation Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed) and decreases on the open interval(s) 0, B. The curve increases on the open interval(s) and does not decrease (Type your answer in interval notation Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed) OC. The curve does not increase and decreases on the open interval(s) (Type your answer in interval notation. ype an exact answer, using z as needed. Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed.) OD. The curve neither increases nor decreases
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