1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
prohojiy [21]
3 years ago
13

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

y points for the skipped part, and you will not be able to come back to the skipped part.Consider the equation below.f(x) = 2 sin(x) + 2 cos(x), 0 ≤ x ≤ 2πExercise (a)Find the interval on which f is increasing. Find the interval on which f is decreasing.Exercise (b)Find the local minimum and maximum values of f.Exercise (c)Find the inflection points. Find the interval on which f is concave up. Find the interval on which f is concave down.
Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0

Answer:

Step-by-step explanation:

Given that there is a function of x,

f(x) = 2sin x + 2cos x,0\leq x\leq 2\pi

Let us find first and second derivative for f(x)

f'(x) = 2cosx -2sinx\\f"(x) = -2sinx-2cosx

When f'(x) =0 we have tanx = 1 and hence

a) f'(x) >0 for I and III quadrant

Hence increasing in (0, \pi/2) U(\pi,3\pi/2)\\

and decreasing in (\pi/2, \pi)U(3\pi/2,2\pi)

x=\frac{\pi}{4}, \frac{3\pi}{4}

f"(\pi/4)

Hence f has a maxima at x = pi/4 and minima at x = 3pi/4

b) Maximum value = 2sin \pi/4+2cos \pi/4 =2\sqrt{2}

Minimum value = 2sin 3\pi/4+2cos 3\pi/4 =-2\sqrt{2}

c)

f"(x) =0 gives tanx =-1

x= 3\pi/4, 7\pi/4

are points of inflection.

concave up in (3pi/4,7pi/4)

and concave down in (0,3pi/4)U(7pi/4,2pi)

You might be interested in
Help me out please!!
Sidana [21]
64899.4 is the answer
6 0
3 years ago
Which is a better deal: five tulips for $3.00 or seven tulips for $4.00?
guajiro [1.7K]

Answer:

Step-by-step explanation:

7 divided by $4.00 = $1.75/per tulip

5 divided by $3.00 = $1.67/per tulip

Five tulips for 3.00 dollars

5 0
3 years ago
Read 2 more answers
Can i please get some help asap
eimsori [14]
If my math is right it should be b
8 0
3 years ago
The Department of Motor Vehicles reports that 32% of all vehicles registered in a state are made by a Japanese or a European aut
Mandarinka [93]

Answer: C. a parameter.

Step-by-step explanation:

  • In statistics, a parameter is a measure ( such as population mean , population proportion... ) generated from the entire population .
  • A statistics is also a measure( such as sample mean , sample standard deviation , sample proportion,..) but generated from the sample taken from population.

Given : The Department of Motor Vehicles reports that 32% of all vehicles registered in a state are made by a Japanese or a European automaker.

Here,  Department as considered the entire population of vehicles registered in a state are made by a Japanese or a European automaker to find the proportion.

Thus , 32% = Population proportion of vehicles registered in a state are made by a Japanese or a European automaker

So , The number 32% is best described as <u>a parameter</u>.

Hence, the correct answer is C. a parameter.

8 0
3 years ago
Please help! Math problem attached below.
Arturiano [62]
<h3>Answer: D) $16.77</h3>

=====================================================

Explanation:

The meter goes from 9854 to 0023. You can think of 0023 as 10023 (even though the meter only has 4 digits, so it rolls over to start over again).

So,

10023 - 9854 = 169

This means 169 kw hours of electricity are used for the month of December.

The first 100 kw hours costs $4.35

There are 169-100 = 69 kw hours left, and they cost $0.18 each, so we add on 69*0.18 = 12.42 getting 4.35 + 12.42 = 16.77

4 0
4 years ago
Other questions:
  • plates at a spaghetti supper fundraiser cost $6 each. Write a function rule to find the cost of any number of plates p.
    5·1 answer
  • If joe ran 390 feet,how many yards did he run
    10·1 answer
  • 15d^3+30d^2+30d/3d3 what is the answer if you divide the following
    7·1 answer
  • Discrete Structures Mathematics
    5·1 answer
  • Someone please answer these 6 questions
    7·2 answers
  • 4.625 as a mixed number and simplified
    7·1 answer
  • Determine which score corresponds to the higher relative position. Which is better, a score of 92 on a test with a mean of 71 an
    12·1 answer
  • What is the percent error actual egg is 2.4 ouch supposed to weigh 2.5 oz
    8·1 answer
  • Find the value of y plzzzz
    10·2 answers
  • Help me quickly plz !!!!!!!!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!