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
Natalka [10]
2 years ago
7

Can you help me find t value in this problem?

Mathematics
1 answer:
Eduardwww [97]2 years ago
6 0

we have a maximum at t = 0, where the maximum is y = 30.

We have a minimum at t = -1 and t = 1, where the minimum is y = 20.

<h3>How to find the maximums and minimums?</h3>

These are given by the zeros of the first derivation.

In this case, the function is:

w(t) = 10t^4 - 20t^2 + 30.

The first derivation is:

w'(t) = 4*10t^3 - 2*20t

w'(t) = 40t^3 - 40t

The zeros are:

0 = 40t^3 - 40t

We can rewrite this as:

0 = t*(40t^2 - 40)

So one zero is at t = 0, the other two are given by:

0 = 40t^2 - 40

40/40 = t^2

±√1 = ±1 = t

So we have 3 roots:

t = -1, 0, 1

We can just evaluate the function in these 3 values to see which ones are maximums and minimums.

w(-1) = 10*(-1)^4 - 20*(-1)^2 + 30 = 10 - 20 + 30 = 20

w(0) = 10*0^4 - 20*0^2 + 30    = 30

w(1) =  10*(1)^4 - 20*(1)^2 + 30 =  20

So we have a maximum at x = 0, where the maximum is y = 30.

We have a minimum at x = -1 and x = 1, where the minimum is y = 20.

If you want to learn more about maximization, you can read:

brainly.com/question/19819849

You might be interested in
Erica went shopping for new clothes for school. She bought a pair of jeans for $70.19 and several shirts for $8.63 each. If x re
aniked [119]
It's at least y=$8.63x+$70.19
4 0
3 years ago
Read 2 more answers
Creed wanted to know if there was a correlation between number of years of education and income. He collected data and created t
Trava [24]
Like CREED creed? cus we just talked and he denied all of this
5 0
2 years ago
How do I solve number one so I can do the rest?
Ipatiy [6.2K]

Answer:

multiply wtl

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Help me please!!
Setler [38]

Answer:

3.A

2.59 %

3.B

.16 x 2,000 = 320

6 0
3 years ago
What’s the right answers?
Umnica [9.8K]
The answer will be D
3 0
3 years ago
Other questions:
  • I need to know this asap
    14·1 answer
  • Ron buys pens from a store. 3 packs of blue pens cost $22.50 and 4 packs of black pens cost $34.00. How much would it cost Ron t
    8·1 answer
  • What is the value of x in log2 (x)-3=1<br><br> A) 2^2<br> b) 2^4<br> c) 2^3<br> d) 2^1
    12·2 answers
  • Two stores carry a similar stereo for the same original price of $573 one store offers a 16% discount and the other store sells
    5·1 answer
  • A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50 percent of its previous height. The total vert
    11·2 answers
  • Anyone want to talk
    12·2 answers
  • Please answer ASAP:She had 2 quarters, 4 dimes, 3 nickels and 2 pennies. The total cost of the bread $0.82. She promised to make
    12·1 answer
  • Which could NOT be side lengths of a parallelogram?
    12·2 answers
  • Help me asap, help asap, please
    6·1 answer
  • WILL GIVE BRAINLIEST
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!