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3 years ago

How to find a local minimum of a function?

Mathematics

1 answer:

ser-zykov [4K]3 years ago

6 0

Answer:

Find the places where the derivative is zero and the second derivative is positive.

Step-by-step explanation:

By definition, a function has a minimum where the first derivative is zero and the second derivative is positive.

That will be a "local" minimum if there are other points on the function graph that have values less than that. It will be a "global" minimum if there are no other function values less than that. A global minimum is also a local minimum.

On a graph, a local minimum is the bottom of the "U" where the graph changes from negative slope to positive slope.

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2 < X < 8 x is an integer. Write down the possible values of x.

Rufina [12.5K]

answer: 3, 4, 5, 6, 7

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3 years ago

Decrypt the word DKA if it was encrypted using an alphabetic Caesar shift cipher that starts with shift 5 (mapping A to F), and

pochemuha

Answer:

YET

Step-by-step explanation:

TO DECRYPT DKA USING THE CAESAR SHIFT CIPHER STARTING WITH 5 SHIFTS.

TO DO THIS DECRYPTION, WE'RE GOING TO LOOP THE ALPHABETS.

D = LOOPING THIS LETTER 5 TIMES, WE HAVE C - B - A - Z - Y.

SO, D IS DECRYPTED AS Y

GOING FURTHER, THE ENCRYPTION SHIFTS BY AN ADDITIONAL SPACE. THIS MEANS, IF THE FIRST "Y" WAS ENCRYPTED IN 5 SPACES TO GET D, AND AN ADDITIONAL SPACE WAS ADDED TO THE NEXT ALPHABET, IT BECOMES 6.

K IS THEN DECRYPTED AS

K = J - I - H - G - F - E

K IS DECRPYTED AS E

GOING FURTHER, THE NEXT WAS ENCRYPTED WITH AN ADDITIONAL SPACE EVEN MORE, SO, A IS DECRPYTED AS

A = Z - Y - X - W - V - U - T.

THUS, DKA IS DECRYPTED AS YET

5 0

3 years ago

What is the measure of angle MPJ?

jenyasd209 [6]

where is the rest of the information?

7 0

3 years ago

Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio o

REY [17]

ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have $2-4 = -2$ . If we subtract the third and second terms, we have $1-2 = -1$ .

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

$\dfrac{2}{4} = \dfrac{1}{2}$

If we divide the third and second terms, we have

$\dfrac{1}{2} = \dfrac{1}{2}$

Finally, if we divide the last two terms we have

$\dfrac{\frac{1}{2}}{1} = \dfrac{1}{2}$

So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2

7 0

4 years ago

100 POINTS! help please which is the graph of f(x) = 3 square root x/4

AnnyKZ [126]

your answer

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3 years ago