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Tomtit [17]
3 years ago
11

F(x)=x^2-x-1 What is the average rate of change of f over the interval -1<=x<=1

Mathematics
1 answer:
nalin [4]3 years ago
6 0
In calculus, we use derivatives to find the instantaneous rate of change at any point on a graph. To find the average rate of change, we just find the slope of the secant line that intercepts two points on the graph.

We find slope with the following equation:

m =  \frac{y_1 - y_2}{x_1-x_2}

In this case, we are looking for the slope from x = -1 to x = 1. We have both x values, so next we need the y values.

F(-1) = (-1)^2 - (-1) - 1 = 1

F(1) = (1)^2 - (1) - 1 = -1

Now plug in the x and y values to find the slope:

\frac{1-(-1)}{-1-1} =-1

The answer is -1.
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I sphere has a diameter of 24 units what is the volume in cubic units
Stolb23 [73]
The formula to find the volume of a sphere is:
4π(r³/3)=V
The radius is half of the diameter.
24÷2=12
4π(12³/3)=V
12.5663706(576)=V
7238.22947=V
So, the volume of the sphere is 7,238.22947 units³.
6 0
3 years ago
An animal reserve has 40000 elk if the population is increasing at a rate of 19% per year how long will it take for the populati
vekshin1

Answer:

Step-by-step explanation:

This is of the form

P(t)=a(b)^t

Where P(t) is the ending population, a is the original population, b is the growth rate, and t is time in years.  We have everything we need to solve for t.  

80000=40000(1.19)^t

Let me explain the growth rate quickly.  If the exponential function is a growth function, that means (in this particular situation) that we have 100% of the population and we are increasing it by 19%.  That makes the growth rate 119%, which in decimal form is 1.19.  

Begin by dividing both sides by 40000 to get

2=(1.19)^t

To get that t out of its current exponential position, take the natural log of both sides:

ln(2)=ln(1.19)^t

and the rules of logs say we can bring the exponent down out front:

ln(2) = t*ln(1.19)

Divide both sides by ln(1.19) to get t alone:

\frac{ln(2)}{ln(1.19)}=t

Doing that calculation on your calculator gives you that

t = 3.9846...

but rounding to the nearest tenth gives you that

t = 4.0 years

3 0
3 years ago
Plzzzzzzzzzzzzzzzzzzzz
Salsk061 [2.6K]

Answer:

B

Step-by-step explanation:

I graphed the equation, and the highest point was at 3.7 feet in the air, 4 seconds into the flight. See the graph below. Hope this helps!

8 0
3 years ago
Nancy bought 2 packs of basketball cards for 3.78 each and 4 decks of basketballs cards for 7.38 each with 2 20 bills. How much
love history [14]

Answer:

3.78*2=7.56

7.38*4=29.52

29.52+7.56=37.08

220-37.08=182.92

8 0
2 years ago
Marking brainliest <br><br> Is this a good start for my argumentative essay against animal testing?
VikaD [51]
What’s a good start I don’t see anything
3 0
2 years ago
Read 2 more answers
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