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3 years ago

A function f is given by the data in the table. I am currently working with Derivatives but i can’t solve this one.

Mathematics

1 answer:

mariarad [96]3 years ago

6 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

One way to approximate the derivative at a point is by finding the slope of the secant line between points on either side. That is what is done in the attached spreadsheet.

f'(0.1) ≈ (f(0.2) -f(0.0))/(0.2 -0.0) = -5 . . . for example

Another way to approximate the derivative is to write a polynomial function that goes through the points (all, or some subset around the point of interest), and use the derivative of that polynomial function.

These points are reasonably approximated by a cubic polynomial. The derivative of that polynomial at the points of interest is given in the table in the second attachment. (f1 is a rounding of the derivative function f')

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Pls someone help me with this question

telo118 [61]

Step-by-step explanation:

remember, i = sqrt(-1)

you know what an exponent means, right ?

it means you multiply the enclosed term that many times with itself.

when you envision this as a long chain of (1+i)/(1-i) multiplications, you can see you can group them into pairs, and then multiply these pairs - just half the times than for the single terms.

so,

((1+i)/(1-i))²⁰²⁰ = ((1+i)/(1-i))² ^ 1010

to get an idea what the result of the long chain of multiplications might be, let's start with the square and see, if we can find a pattern, that we then can use to come to a conclusion about the total result.

((1+i)/(1-i))² = (1+i)²/(1-i)²

(1+i)² = 1×1 + 1×i + 1×i + i² = 1 + 2i - 1 = 2i

(1-i)² = 1×1 - 1×i - 1×i + i² = 1 - 2i - 1 = -2i

so,

((1+i)/(1-i))² = 2i/-2i = -1

aha !

so,

((1+i)/(1-i))² ^ 1010 = (-1)¹⁰¹⁰

just to be sure you understand, we use the same trick again

(-1)¹⁰¹⁰ = (-1)² ^ 505 = 1⁵⁰⁵ = 1

as 1 to any power is always 1.

so, the right answer is A.

remember, a negative number to an even power results always in a positive number. and to an uneven/odd power in a negative number.

again, because such an exponent is only the summary of many multiplications.

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2 years ago

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zimovet [89]

Well you would subtract 137-74, the number that it equals is your answer (:

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Step-by-step explanation:

1) see the attached picture;

2) 120+80=200 (persons).

PS. change the design according to local requirements.

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3 years ago

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Sati [7]

Answer:

4:3

Step-by-step explanation:

Think of it like this:

4 beagles to 3 golden retrievers

4 beagles : 3 golden retrievers

4 : 3

Just take out everything but the numbers.

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3 years ago

The radius of a regular decagon, a 10-sided figure, is 15 units. The length of one side of the polygon measures about 9.3 units.

melamori03 [73]

The formula for solving the area of a regular decagon is shown below:
A=(5/2)a²√(5+2√5)

where "a" refers to the measurement of the side on which in this problem, it is equal to 9.3 units

We can proceed in solving for the area and the solution is shown below:
A=(5/2)*(9.3)²√(5+2√5)
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The answer is 665.47 square units.

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