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shusha [124]
3 years ago
9

What is the relationship between limits and derivatives? Explain with examples of your own.

Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer:

Step-by-step explanation:

Assume you have a function of x, call it f(x).

The limit of the function as x approaches some number represents the value of f with respect to x.  

The derivative of f(x) represents the rate of change of the function at x.

So the derivative would give you the rates of change of the function as x approaches some number.  

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a triangular sail has sides of 10 ft ,24ft,and 26ft .if the shortest side of a similar sail measures 6ft , what is the measure o
Katarina [22]

Answer:

15.6 ft

Step-by-step explanation:

Since the sails are similar then the ratios of corresponding sides are equal.

Comparing the shortest sides, that is

10 : 6 = 5 : 3

let the longest side be x, then using proportion

\frac{26}{5} = \frac{x}{3} ( cross- multiply )

5x = 78 ( divide both sides by 5 )

x = 15.6

The longest side is 15.6 ft

5 0
3 years ago
Hep please will give brainiest and other!!!
Vaselesa [24]

y = -9

Ok so to write the equation of the line you will need the slope and y-intercept. Since we are given two-point we can easily find the slope by using this equation for slope formula:

\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

So now that we have our equation we can just plug in the numbers:

\frac{(-9)-(-9)}{5-(-3)}

After subtracting you should get:

0/8

Since zero is in the numerator and you can't divide zero by anything, the slope is 0. We still need the y-intercept for the equation however since the slope is 0 there is no need to put anything else.

Then to find the y-intercept all you have to do is plug in one of the coordinatines into the slope equation to solve, for example, using the point (5,-9):

(-9) = 5(0) + b

B is the variable for the y-intercept. Also notice how I put 0 as our slope into the equation. Now all you have to do is solve for b. Which you would get b = -9. Since you have your slope and your y-intercept now you just write out your equatoin for the line which is:

y = 0x - 9

**Just write it as

y = -9

5 0
2 years ago
Read 2 more answers
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of th
Darina [25.2K]

Answer:

  • 1809 cm³

Step-by-step explanation:

<u>Given the scale factor:</u>

  • k = h/H = 1/3

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

<u>The volumes are:</u>

  • v = 67 cm³
  • V = x

<u>Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:</u>

  • v/x = k³
  • 67/x = (1/3)³
  • x = 67*27
  • x = 1809 cm³

7 0
3 years ago
Read 2 more answers
Simplify the ratio: 28:35
Mama L [17]
28:35
Those are divisible by 7 so divide both sides by seven
the answer is 4:5
3 0
3 years ago
Read 2 more answers
QUICK HELP!!!!!!!!!!!!!!!!
JulijaS [17]

Answer:

Its C im pretty sure. Also loveee your pfp!

3 0
2 years ago
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