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
sergejj [24]
3 years ago
5

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 cos2(x) − 6 sin(x), 0 ≤ x ≤ 2π (a) Find the inte

rval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection points. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.) Need Help? Read It Watch It

Mathematics
1 answer:
marta [7]3 years ago
7 0

Answer:

f(x) = 3 cos2(x) − 6 sin(x), 0 ≤ x ≤ 2π

We plot the function using a graphing calculator (See attached image below)

a) 1. Find the interval on which f is increasing.

f(x) increases for

x ∈ [π/2 , 7π/6] ∪ [3π/2, 11π/6]

2. Find the interval on which f is decreasing

f(x) decreases for

x ∈ [0 , π/2) ∪ (7π/6, 3π/2) ∪ (11π/6, 2π]

(b) Find the local minimum and maximum values of f

Local minimum.      f = -9

Local maximum.      f = 4.5

(c) 1. Find the inflection points

Please see second image attached

Points,

(x,y) = (2.50673, -2.66882)

(x,y) = (4.14456, 3.79382)

(x,y) = (5.28022, 3.79382)

2. Find the interval on which f is concave up.

x ∈ [0 , 2.50673] ∪ [4.14456, 5.28022]

3. Find the interval on which f is concave down.

x ∈ (2.50673, 4.14456) ∪ (5.28022, 2π]

You might be interested in
If possible can someone help me with this problem.
Neko [114]

Answer:

I believe your answer is correct. Though I'm not sure if the first picture is right too.

Step-by-step explanation:

7 0
2 years ago
Please help name brainliest
kvasek [131]

Answer:

20 days

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
4x+4y=15. missing coordinate in the ordered pair (−5,?)
Black_prince [1.1K]

I domt get what you mean by coordinate pair could you explain plseas

6 0
3 years ago
Robert says the expression 2+3 times 7 and 2+(3 times 7) have the same value. Is Robert correct? Explain your answer and evaluat
erastovalidia [21]
Yes because you multiply first so in this case you multiply 7 and 3 first. Since the second expression is in parenthesis you do that first just like you do 7 times 3. Then you just add 2 to that. The value of both expressions is 23
4 0
3 years ago
Two cylinders are similar. The radius of cylinder a is 5.6 in. The radius of cylinder b is 1.4 in. If the hwight of cylinder b i
sleet_krkn [62]
The answer is 16in.

Let the radius and height of cylinder A be Ra and Hb respectively and the radius and height of cylinder B be Rb and Hb respectively.

Using similar shapes:
Ra/Ha= Rb/Hb
5.6/Ha=1.4/4
Ha=(4×5.6)/1.4
Ha=22.4/1.4
Ha=16in
6 0
3 years ago
Other questions:
  • The controller​ (money manager) for a small company puts some money in a bank account paying 3​% per year. He uses some addition
    14·1 answer
  • 0.4 divided by -5/8 or -5/8xN=0.4 BUT LOOKING FOR N
    14·1 answer
  • James has a piece of construction paper with an area of 50 1/4 inches. It is 4 3/16 inches long. What is the width of the piece
    6·1 answer
  • A triangle has sides 45, 4x and 2x−4. What is the possible range of x?
    5·1 answer
  • 1800 people took part in a survey. 34 were aged 25-59 15 were over 60 The remainder were under 25 How many were under 25?
    10·1 answer
  • A submarine submerged at a depth of -35.25 meters dives an additional 8.5 meters.What is the new depth of the submarine
    11·1 answer
  • I will give u BRAINLIEST for the correct answr
    12·2 answers
  • If 10% of a group of children are girls, what is the ratio of girls to boys​
    15·1 answer
  • A triangle has sides with lengths of 7 meters, 10 meters and 13 meters is it a right triangle
    6·2 answers
  • The product of 1.304 and 1,000,000 is
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!