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]
3 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]3 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]3 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
You are in talks to settle a potential lawsuit. The defendant has offered to make annual payments of $15,000, $25,000, $40,000,
Sphinxa [80]

Answer:

All payments will be made at the end of the year by using the present value of inflows

Step-by-step explanation:

Present Value Of Inflows = Cash Inflow × Present Value Of Discounting Factor (Rate%,Time Period)

Present Value Of Inflows = 15000/1.037 + 25000/1.037^{2} + 40000/1.037^{3} + 60000/1.037^{4}

Present Value Of Inflows = 125466.3

8 0
3 years ago
If rectangle is 8 feet long and (7+x) feet wide. what is the area of the rectangle in square feet?
Ksivusya [100]

if the length is 8ft and the width is (7+x) then the area would be 56+8x, if x is unknown.

5 0
3 years ago
Can someone help me? ​
Oliga [24]
52-13=39
39/52x100=75
The percent of markdown: 75%
5 0
2 years ago
A man loses 30% by selling an article for 14 naira. what was the cost price of the article?​
antiseptic1488 [7]
Loses 30% of what his money
8 0
3 years ago
Wanna be friends still
Igoryamba

Answer:

no

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Answer please, Thanks. More questions coming.
    10·2 answers
  • (07.06 MC) The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.
    12·2 answers
  • a farmer has enough food to feed 28 animals for 5 days how long would the food last ifthere are 7 more animals
    8·1 answer
  • The top of a desk is shaped like a trapezoid. The bases of the trapezoid are 26.5 and 30 centimeters long. The area of the desk
    7·1 answer
  • You want to save for a brand-new car. You put the $5,000 your Grandma gave you when you graduated in an account that pays 6% int
    15·1 answer
  • ANSWER ASAP
    10·1 answer
  • PLEASE HELP!!!!!!!!
    6·2 answers
  • PLEASE HELP!!! (Look at photo)
    5·2 answers
  • Which choice best represents the surface area of the triangular prism shown below?
    12·2 answers
  • Half the product of a and 2?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!