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3 years ago

Determine the rate of change of f , f(x)= 6x-5

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

the rate of change is given by the slope of the line

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

f(x) = 6x - 5 is in this form

with slope m = 6 ← rate of change

Westkost [7]3 years ago

5 0

Answer:

Step-by-step explanation:

We are given the function f(x) = 6x-5 for which we have to determine its rate of change.

The rate of change is given by the slope of a line.

We know that the standard form of an equation of a line is given by:

y = mx + c

where m is the slope.

If we observe the given function, we can notice that is in the form y = mx + c where the slope (m) is 6.

Therefore, the rate of change for the function f(x) = 6x - 5 is 6.

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2 years ago

the diameter of a gigantic Ferris wheel is 185 meters. if a man rides a ferris wheel for one revolution find how far he travels

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2 years ago

Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.

7nadin3 [17]

Answer:

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

Step-by-step explanation:

Antiderivative F(x)

This is the integral of $F^{\prime}(x)$

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

$F(x) = \int (6 + 24x^3 + 18x^5) dx$

$F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K$

$F(x) = 6x + 6x^4 + 3x^6 + K$

F(1)=0

$F(X) = 0$ when $x = 1$ . We use this to find K.

$F(x) = 6x + 6x^4 + 3x^6 + K$

$0 = 6 + 6 + 3 + K$

$K = -15$

Thus

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

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3 years ago

If a square has a side length of 5cm what would the area be

EastWind [94]

Answer:

25 cm squared

Step-by-step explanation:

To find area we multiply the side lengths

5cm x 5cm=25 cm squared

3 0

3 years ago