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
Find the lateral area the regular pyramid.<br><br> L.A.=
DanielleElmas [232]

Answer:

L.A = 12\sqrt{3}

7 0
3 years ago
A population of insects increases by 2.5% per year. By what rate does the population increase each month? Enter your answer, rou
Semenov [28]

Answer: The answer here would be 0.208%


Step-by-step explanation:


4 0
3 years ago
BEST ANSWER GETS BRAINLIEST<br> What is 14b + 6b - 12
Andrews [41]
14b + 6b - 12

(14b + 6b) - 12     collect like terms

20b - 12    << your answer

hope this helps, God bless!
3 0
3 years ago
Why is it important to keep two sides of an equation balanced when solving?
Lady_Fox [76]

Answer:

An important property of equations is one that states that you can add the same quantity to both sides of an equation and still maintain an equivalent equation.  If you think of an equation as being like a balance scale, the quantities on each side of the equation are equal, or balanced.

Step-by-step explanation:

5 0
3 years ago
The answer to the question in the picture
wolverine [178]
Add them all up to get it
7 0
3 years ago
Other questions:
  • (0,4) (-3,-4) what's the slope?
    6·2 answers
  • The local cafe uses 510 cups of mixed vegetables to make 1000 quarts of beef barley soup. Each quart of soup contains the same a
    14·1 answer
  • Find the greatest common factor: 14a^4 + 35a^9
    11·1 answer
  • Approximately 4/5 of U.S homeowners have a cell phone. what percent of homeowners do not have a cell phone
    13·1 answer
  • A bridge is 440 yards long hey scale drawing has a ratio of 1 inch equals 1 yard how long is the drawing
    12·2 answers
  • How many 3/4 pound servings are in 36 pounds of meat?
    11·1 answer
  • Find x such that 3^x = 27 mod 32 (b)
    13·1 answer
  • A class trip is going on a trip to a museum. It costs $820 to rent a bus. Each ticket to the museum costs $11. Evaluate the cost
    12·2 answers
  • Suppose you are making a deposit into your checking account. You have a check for $350, cash and coins totaling $225 and you wan
    6·1 answer
  • Helppp me please and
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!