MATHEMATICS HIGH SCHOOL

If dy/dx=1/x, then the average rate of change of y with respect to x on the closed interval [1, 4] is a) -1/4
b) (1/2)*ln(2)
c) (2/3)*ln(2)
d) 2/5
e) 2

Answers

Answer 1
Answer: The first thing to do here is to integrate the ordinary differential equation dy/dx = 1/x. This is equal to  y = ln x + C. Assuming C is zero. y = lnx. substituting the two interval, 
y1 = 0 y2 = ln 4
the rate of change then is equal to (ln4 - 0) / (4-1) equal to 2/3 ln 2. Answer is C

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Middle one is the answer

Answer:

The answer is B, 6x^2 - 21x + 15

Step-by-step explanation:

= (3x + − 3) (2x + − 5)

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= 6x^2 − 21x + 15

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Answers

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What is the prime factorization of 1,260? A. 2 × 2 × 3 × 3 × 5 × 7
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Answers

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Whilst B and C both also yield 1,260, they aren't broken down in to their prime factors. In B, 4 can be broken down in to 2*2 and 9 in to 3*3, and in C, 6 can be broken down in to 2*3

And D just doesn't total 1,260

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

3.14 ft² or 2,917 cm²

Step-by-step explanation:

To do this, we need to know the expression to calculate the area of a circle.

The area of any circle is:

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Where:

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r: radius of the circle, in this case 1 ft

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Answer:

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Step-by-step explanation:

The table represents a function.
What is f(5)?
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Answers

Answer:

A. -8

Step-by-step explanation:

We can look at the table and figure out how we get f(5)

really its just the x value pugged into the x value for the function

after that we look on the table, f(5) is -8 because at the bottum of the table it shows 5 and -8

High Hopes^^

Barry-
The answer for me is the answer -8
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