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adoni [48]
3 years ago
14

Find the volume 12 poir 2.2 cm

Mathematics
1 answer:
Tanzania [10]3 years ago
6 0
Answer: 26.4
To find the volume u multiply 12x2.2=26.4
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What is the upper bound of the function f(x)=4x4−2x3+x−5?
inessss [21]

Answer:

(no global maxima found)

Step-by-step explanation:

Find and classify the global extrema of the following function:

f(x) = 4 x^4 - 2 x^3 + x - 5

Hint: | Global extrema of f(x) can occur only at the critical points or the endpoints of the domain.

Find the critical points of f(x):

Compute the critical points of 4 x^4 - 2 x^3 + x - 5

Hint: | To find critical points, find where f'(x) is zero or where f'(x) does not exist. First, find the derivative of 4 x^4 - 2 x^3 + x - 5.

To find all critical points, first compute f'(x):

d/( dx)(4 x^4 - 2 x^3 + x - 5) = 16 x^3 - 6 x^2 + 1:

f'(x) = 16 x^3 - 6 x^2 + 1

Hint: | Find where f'(x) is zero by solving 16 x^3 - 6 x^2 + 1 = 0.

Solving 16 x^3 - 6 x^2 + 1 = 0 yields x≈-0.303504:

x = -0.303504

Hint: | Find where f'(x) = 16 x^3 - 6 x^2 + 1 does not exist.

f'(x) exists everywhere:

16 x^3 - 6 x^2 + 1 exists everywhere

Hint: | Collect results.

The only critical point of 4 x^4 - 2 x^3 + x - 5 is at x = -0.303504:

x = -0.303504

Hint: | Determine the endpoints of the domain of f(x).

The domain of 4 x^4 - 2 x^3 + x - 5 is R:

The endpoints of R are x = -∞ and ∞

Hint: | Evaluate f(x) at the critical points and at the endpoints of the domain, taking limits if necessary.

Evaluate 4 x^4 - 2 x^3 + x - 5 at x = -∞, -0.303504 and ∞:

The open endpoints of the domain are marked in gray

x | f(x)

-∞ | ∞

-0.303504 | -5.21365

∞ | ∞

Hint: | Determine the largest and smallest values that f achieves at these points.

The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:

The open endpoints of the domain are marked in gray

x | f(x) | extrema type

-∞ | ∞ | global max

-0.303504 | -5.21365 | global min

∞ | ∞ | global max

Hint: | Finally, remove the endpoints of the domain where f(x) is not defined.

Remove the points x = -∞ and ∞ from the table

These cannot be global extrema, as the value of f(x) here is never achieved:

x | f(x) | extrema type

-0.303504 | -5.21365 | global min

Hint: | Summarize the results.

f(x) = 4 x^4 - 2 x^3 + x - 5 has one global minimum:

Answer: f(x) has a global minimum at x = -0.303504

5 0
3 years ago
Read 2 more answers
g Recall the example about community college students and gender. Statistics students surveyed 135 students at Tallahassee Commu
bixtya [17]

Answer:

They can either decrease the confidence level or increase the sample size, that is, survey more students.

Step-by-step explanation:

The width of a confidence interval is given by:

M = z*\frac{\sigma}{\sqrt{n}}

In which z is the critical value correponding to the confidence level(higher confidence level, higher z is), \sigma is the standard deviation of the population and n is the size of the sample.

The students realize that this interval contains a large margin of error. What can they do to make a narrower interval?

Looking at the formula for M, they can either decrease the confidence level or increase the sample size, that is, survey more students.

4 0
3 years ago
Which unit has the greatest capacity? Tablespoon, quart, Pint or teaspoon?
Tamiku [17]
Quart because it's bigger than a pint and a quart is the closest to a gallon
6 0
2 years ago
Read 2 more answers
Simplify the following
Lady_Fox [76]
Your answer is right

3 0
3 years ago
Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
AysviL [449]

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

3 0
3 years ago
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