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
Olenka [21]
3 years ago
14

Ex 2.8 3. find the maximum value of y for the curve y=x^5 -3 for -2≤x≤1

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0
y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\
y''(0)=20\cdot0^3=0

The value of the second derivative for x=0 is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of 5x^4 is always positive for x\in\mathbb{R}\setminus \{0\}. That means at x=0 there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval [-2,1].
The function y is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.

y_{max}=y(1)=1^5-3=-2
You might be interested in
a) A six sided dice is unbiased . It is numbered 1,2,3,4,5 and 6 on its faces. The dice is rolled several times until it lands o
masha68 [24]
P(not 5) =5/6 and P(5) = 1/6
If the first 5 is rolled on the 5th roll then the first four rolls were not 5
P(5 on fifth roll) = 5/6 x 5/6 x 5/6 x 5/6 x 1/6 = 5^4/6^5 = 625/7776 = 0.080375...
6 0
2 years ago
Copy and complete the table below to represent the amount of time it would take meredith to get to her friends house if she trav
LenaWriter [7]
Use google...........
5 0
3 years ago
SOMEONE HELP ASAP WHATS THE MISSING ANGLE
Lapatulllka [165]

Answer:

130

Step-by-step explanation:

? is an exterior angle of a triangle

An exterior angle is equal to the sum of the two opposite interior angles ( 35 and 95 in this case )

That being said the missing angle = 95 + 35

95 + 35 = 130

Hence, the answer is 130

7 0
2 years ago
Read 2 more answers
The perimeter of a rectangular mat is 16 feet. It is 6 feet long. How wide is it?
dezoksy [38]

Answer:

2ft

Step-by-step explanation:

because perimeter of a rectangle formula is p=2(l+w)

7 0
3 years ago
Which of the following fractions have repeating decimal representations? Which have terminating decimal representations?
natali 33 [55]

Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.

<h3>What is decimal?</h3>

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.

Here,

Repeating decimal representation,

=3/13, 7/24

Terminating decimal representation,

=3/16, 4/125

3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.

To know more about decimal,

brainly.com/question/25903211

#SPJ1

7 0
1 year ago
Other questions:
  • Find the number of gallons of paint needed to cover the sides of the building shown with two coats of paint if one gallon covers
    5·2 answers
  • Someone, please solve this, TYSM!
    5·1 answer
  • Sam took his family to the zoo. An adult’s ticket is two times
    13·1 answer
  • Jacob’s daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the mean best represe
    10·2 answers
  • Can you please help me to put from the lower to the higher
    11·1 answer
  • Marcus finds that (3x^2-2y^2+5x)+(4x^2+12y^2-7x)=7x^2-10y-2x. What error did Marcus make?
    14·2 answers
  • Plz help I’ll mark u
    13·1 answer
  • Question number eight answer
    12·1 answer
  • PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!
    8·2 answers
  • Answer the questions below about the quadratic function.f(x) = -2x² - 4x
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!