What is the minimum value of 3 cosx + 4 sinx + 8?

Asked by Last Modified  

2 Answers

Learn Class XI-XII Tuition (PUC) +2 Mathematics Trigonometry

Follow 0
Answer

Please enter your answer

Ankit Agrawal

Concept buliding

f(x) = 3cosx + 4sinx + 5 f '(x) = -3sinx + 4cosx 0 = -3sinx + 4cosx 3sinx = 4cosx tanx = 4/3 x = 0.927 + npi radians for all integers, n f ''(x) = -3cosx - 4sinx f ''(0.927) = -5 0 so a minimum occurs at x = 4.069 f(0.927 + pi) = f(4.069) = 0
read more
f(x) = 3cosx + 4sinx + 5 f '(x) = -3sinx + 4cosx 0 = -3sinx + 4cosx 3sinx = 4cosx tanx = 4/3 x = 0.927 + npi radians for all integers, n f ''(x) = -3cosx - 4sinx f ''(0.927) = -5 < 0 so a maximum occurs at x=0.927 f ''(0.927 + pi) = 5> 0 so a minimum occurs at x = 4.069 f(0.927 + pi) = f(4.069) = 0 read less
Comments
Dislike Bookmark

An Experienced Trainer

9
Comments
Dislike Bookmark

Related Questions

A body that attracts small pieces of iron and points towards north-south direction when suspended freely, is called a __________. (Magnet, Conductor, Magnetism, None of these)
Magnet
Narendra Kumar
0 0
7
Find the probability that a non leap year has 53 sundays..
As there are 52 weeks in a year. 52 weeks correspond to 7*52=364 days. So, the last day is the one which should be a Sunday for you to get 53 Sundays. Sample space has seven days as options. So probability...
Kumar Upendra Akshay
What are monthly charges for 11 & 12 CBSE students for maths in Baroda?
Perhaps Rs. 1500/- would be adequate.
Er Megha Pandey
If three natural numbers from 1 to 100 are selected randomly then probability that all are divisible by both 2 and 3 is........ ??
Count the events divide them by 100.
Kumar Upendra Akshay
If electrons are added in an atom it becomes __________. (Neutral particle, Negatively charged particle, positively charged particle, none of these)
Negatively charged particle
Narendra Kumar
0 0
6

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

How to Prepare Final Accounts (Step by step procedure) for BBA/ Bcom/ BBM students
Dear Students, Final Accounts question is a very scoring question in the accountancy Paper and is also a compulsory question for most of the boards. So here is the list of simple steps to be follwed...

Madhura sagar G.

4 0
1
For IIT/NEET Aspirants Class 12 Chemistry: Important Reagents In Summarized Form.
K2Cr2O7 AND KMnO4 are oxidising agents. The difference between them as folows: KMnO4 is slightly stronger oxidising agent than K2Cr2O7 in acidic medium, however, KMnO4 can act as an oxidising agent...

Nidhi T.

0 0
0
What did Albert Einstein say on income tax?
Prime Minister Narendra Modi quoted Albert Einstein during his speech at the midnight launch of Goods and Services Tax. Mr. Modi said: “Einstein said if there is something in this world that...

FR Prashanth Reddy

Bills of exchange
Bills of exchange is a negotiable instrument. It is drawn by a creditor on the debtor and accepted by the debtor in writing for the amount owed by the debtor to settle it on a specific maturity date. Bills...

Vijayakumar V.

0 0
0
Accounting Practices Needed When Starting a Business
Every small business needs to account by law for the profit or loss that it makes over time. Not only is this valuable information for the business owner, but such accounting is required in order for the...

G. Hariharasubramonian

0 0
0

Recommended Articles

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Chennai
Class 12 Tuition in Hyderabad
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Pune
Class 12 Tuition in Lucknow
Class 12 Tuition in Noida
Class 12 Tuition in Gurgaon
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you