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
frozen [14]
2 years ago
6

What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]? A. maximum point: (–2.4, 3

7.014) and minimum point: (2.4, –37.014) B. maximum point: (2.4, –37.014) and minimum point: (–2.4, 37.014) C. maximum point: (–1.4, 33.014) and minimum point: (1.4, –33.014) D. maximum point: (–3, 30) and minimum point: (3, –30)
Mathematics
2 answers:
belka [17]2 years ago
4 0

Answer:

A. Maximum point :(-2.4,37.014)

Minimum point: (2.4,-37.014).

Step-by-step explanation:

Given function

f(x)=x^5-10x^3+9x on interval \left[ -3, 3\right]

A. Maximum point (-2.4,37.014)

Minimum point (2.4,-37.014)

f(x)=(-2.4)^5-10(-2.4)^3+9(-2.4)

f(x)=-79.62624+138.24-21.6

f(x)=37.014

Put x= 2.4 then we get

f(x)= (2.4)^5-10(2.4)^3+9(2.4)

f(x)=79.62624-138.24+21.6

f(x)=37.014

B. Maximum point (2.4,-37.014)

Minimum point (-2.4,37.014)

Put x= 2.4. Then we get

f(x)= -37.014

Put x=-2.4 then we get

f(x)= 37.014

C. Maximum point ( -1.4, 33.014)

Minimum point ( 1.4, -33.014)

Put x=-1.4 then we get

f(x)=(-1.4)^5-10(-1.4)^3+9(1.4)

f(x)=-38.94

Put x= 1.4 then we get

f(x)= 38.94

D. Maximum point ( -3,30)

Minimum point ( 3,-30)

Put x=3 then we get

f(x)= 243-270+27=0

Put x=-3 then we get

f(x)= -243+270-27=0

Hence , from option A,B,C and D we can see only option A is right answer.

The approximate values of the minimum point (2.4,-37.014) and maximum  point (-2.4, 37.014) of the function f(x)=x^5-10x^3+9x on \left[-3,3\right].

slava [35]2 years ago
3 0

Answer:

(-2.4, 37.014)

Step-by-step explanation:

We are not told how to approach this problem.  

One way would be to graph f(x) = x^5 − 10x^3 + 9x on [-3,3] and then to estimate the max and min of this function on this interval visually.  A good graph done on a graphing calculator would be sufficient info for this estimation.  My graph, on my TI83 calculator, shows that the relative minimum value of f(x) on this interval is between x=2 and x=3 and is approx. -37; the relative maximum value is between x= -3 and x = -2 and is approx. +37.  

Thus, we choose Answer A as closest approx. values of the min and max points on [-3,3].  In Answer A, the max is at (-2.4, 37.014) and the min at (2.4, -37.014.

Optional:  Another approach would be to use calculus:  we'd differentiate f(x) = x^5 − 10x^3 + 9x, set the resulting derivative = to 0 and solve the resulting equation for x.  There would be four x-values, which we'd call "critical values."

You might be interested in
13. Which system of inequalities has no solution?
Anit [1.1K]

Answer:

Option A

Step-by-step explanation:

We have y < 2x - 4 and y > 2x + 1.

=> 2x - 4 > 2x + 1

=> -4 > 1

Since this inequality is false for all real values of x, there is no solution for the system of inequalities.

8 0
3 years ago
How many natural numbers from 78 to 24?
I am Lyosha [343]
54 numbers is the answer
3 0
2 years ago
How many cups are 125 grams
KengaRu [80]

Answer:

5/8 cup

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Help Please 20 points and Brainliest if the answer is Correct!!!!! ( Do not put a random answer or I will report)
Firdavs [7]

Answer:

k^2/25

Step-by-step explanation:

(1/5k)^2

(k/5)^2

k^2/5^2

k^2/25

6 0
2 years ago
Read 2 more answers
Round 480,800 to the nearest thousandename the number 4 thousand 7 hundreds = 47
Oliga [24]
It would be 500,000 when rounded to nearest thousands.
8 0
3 years ago
Other questions:
  • 8(10)2y = 7200<br> What the answer
    14·1 answer
  • IS 0.6 GREATER THAN OR LESS THAN OR EQUAL TO 0.60
    15·2 answers
  • (-4)(9)+(-55 divided -5)=
    5·1 answer
  • PLEASE HELP!!!!
    6·1 answer
  • A kitchen table is 30in. tall. The legs are 27.5 in. tall.
    8·1 answer
  • Is the expression 4 - x the same as x – 4? Explain
    8·2 answers
  • Picture attached below. Please help.
    5·2 answers
  • Fwee points also can somebody please answer my last 2 question pwease ♡
    6·2 answers
  • -6-3<br><br> -5-5<br><br> 7-7<br><br> -75-(-75)<br><br> Thanks you. xo Anna
    10·1 answer
  • Principal $4,700 Interest rate 4% time 10 months, what is the simple interest and maturity level?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!