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
12345 [234]
3 years ago
8

EXAMPLE 2 Find the local minimum and maximum values of the function below. f(x) = 3x4 â 16x3 â 270x2 + 3 Video Example SOLUTION

f '(x) = 12x3 â 48x2 â 540x = 12x(x â 9)(x + 5) From the chart Interval 12x x â 9 x + 5 f '(x) f x < â5 â â â â decreasing on (ââ, â5) â5 < x < 0 â â + + increasing on (â5, 0) 0 < x < 9 + â + â decreasing on (0, 9) x > 9 + + + + increasing on (9, â) we see that f '(x) changes from negative to positive at â5, so f(â5) = 840 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. is a local minimum value by the First Derivative Test. Similarly, f '(x) changes from negative to positive at 9, so f(9) = -11512 Incorrect: Your answer is incorrect. is a local minimum value. And, f(0) = 3 Correct: Your answer is correct. is a local maximum value because f '(x) changes from positive to negative at 0.
Mathematics
1 answer:
olga_2 [115]3 years ago
7 0

Answer:

Step-by-step explanation:

You need to have the + or - signs in there if anyone is going to be able to help you do this problem.

You might be interested in
Brett works at a local pet store. When he works 5 hours he earns $25. When he works 10 hours he earns $50. What is the rate per
vampirchik [111]

Answer:

$5 per hour

Step-by-step explanation:

25/5 = 5

10*5 = 50

8 0
3 years ago
A sequence is defined by f(0) = -20, f(n) = f(n-1) - 5 forn &gt; 1.
bulgar [2K]

Answer:

1. Proved down

2. proved down

3. f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5

Step-by-step explanation:

Let us explain how to solve the question

∵ f(0) = -20, f(n) = f(n - 1) - 5 for n > 1

→ That means we have an arithmetic sequence with constant

   difference -5 and first term -20

1. → f(1) means we need to find the second term, which equal the

      term - 5

∵ f(1) means n = 1

∴ f(1) = f(1 - 1) - 5

∴ f(1) = f(0) - 5

∵ f(0) = -20

∴ f(1) = -20 - 5 → Proved

2. → f(3) means we need to find the third term, which equal the

   second term - 5

∵ f(3) means n = 3

∴ f(3) = f(3 - 1) - 5

∴ f(3) = f(2) - 5

→ f(2) = f(1) - 5

∵ f(1) = -20 - 5

∴ f(2) = [-20 - 5] - 5 = -20 - 5 - 5

∴ f(3) = [-20 - 5 - 5] - 5

∴ f(3) = -20 - 5 - 5 - 5 → Proved

3. → From 1 and 2 we notice that the number of -5 is equal to n,

      at n = 1 there is one (-5), when n= 3 there are three (-5)

∵ n = 10

∴ There are ten (-5)

∴ f(10) = -20 - 5(10)

∴ f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 → Proved

6 0
3 years ago
What does write two addition sentences where the sum is zero mean
Alex777 [14]
Pretty much, write two problems that equal to 0
6 0
3 years ago
Read 2 more answers
For a moving object,When. The force acting on the object varies directly with the object's acceleration. When a force of 64 N ac
Tems11 [23]

Answer:

72 N

Step-by-step explanation:

From the question.

Force is directly proportional to acceleration, with the mass of the object constant.

F α a

F = ka

F₁/a₁ = F₂/a₂....................... Equation 1

Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.

make F₂ the subject of the equation

F₂ = (F₁/a₁)a₂................ Equation 2

Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²

Substitute these values into equation 2

F₂ = (64/8)(9)

F₂ = 72 N

5 0
3 years ago
Which of the following is equal to 2?
bekas [8.4K]
I think the answer is B
7 0
3 years ago
Read 2 more answers
Other questions:
  • a number multiplied by a fraction is not always smaller than the original number explain this and give at least two examples to
    15·2 answers
  • Help please as soon as possible
    5·2 answers
  • A cylinder has a height of 4 feet and a diameter of 6 feet. To the nearest tenth what is the volume of the cylinder?
    5·1 answer
  • Please help me with #13
    5·1 answer
  • universal pet house sells vinyl doghouses and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouse a
    9·2 answers
  • 4+2i/2−i solve for this expression​
    10·1 answer
  • In a right triangle, what is the 3rd angle measure if an angle is 25
    11·2 answers
  • A table saw is on clearance for 20% off. If the sale price of the table saw is $380, what was the original price? Justify your s
    12·2 answers
  • Question 1
    6·1 answer
  • What is the product of 4 x 2/3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!