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telo118 [61]
3 years ago
7

If the function f has a continuous derivative on [0,c], the the integral(o to

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0
For the first problem,
The definite integral from 0 to c is
[f(c) - f(0)] / (c - 0)
since the function is continuous in the interval 0 to c.

Since f(a) = f(b) = 1, then by the Mean Value Theorem, there is a point somewhere in the middle two values of x that f'(x) = 0 since the curve has a degree of more than 2.
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This is Algebra btw.
Brums [2.3K]
<h2>Step-by-step explanation:</h2>

Given equations;

y₁ = 3x - 8               -------------------(i)

y₂ = 0.5x + 7          --------------------(ii)

To fill the table, substitute the values of x into equations (i) and (ii)

=> At x = 0

y₁ = 3(0) - 8 = -8

y₂ = 0.5(0) + 7 = 7

=> At x = 1

y₁ = 3(1) - 8 = -5

y₂ = 0.5(1) + 7 = 7.5

=> At x = 2

y₁ = 3(2) - 8 = -2

y₂ = 0.5(2) + 7 = 8

=> At x = 3

y₁ = 3(3) - 8 = 1

y₂ = 0.5(3) + 7 = 8.5

=> At x = 4

y₁ = 3(4) - 8 = 4

y₂ = 0.5(4) + 7 = 9

=> At x = 5

y₁ = 3(5) - 8 = 7

y₂ = 0.5(5) + 7 = 9.5

=> At x = 6

y₁ = 3(6) - 8 = 10

y₂ = 0.5(6) + 7 = 10

=> At x = 7

y₁ = 3(7) - 8 = 13

y₂ = 0.5(7) + 7 = 10.5

=> At x = 8

y₁ = 3(8) - 8 = 16

y₂ = 0.5(8) + 7 = 11

=> At x = 9

y₁ = 3(9) - 8 = 19

y₂ = 0.5(9) + 7 = 11.5

=> At x = 10

y₁ = 3(10) - 8 = 22

y₂ = 0.5(10) + 7 = 12

The complete table is attached to this response.

(ii) To find the solution of the system of equations using the table, we find the value of x for which y₁ and y₂ are the same.

As shown in the table, that value of <em>x = 6</em>. At this value of x, the values of y₁ and y₂ are both 10.

5 0
3 years ago
Are the ratios 3:4 and 2:5 equivalent?<br> yes or no
olya-2409 [2.1K]

Answer:

No

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which graph shows a set of ordered pairs that represent a function?<br><br>Need help​
Sveta_85 [38]

Answer:

The third graph, the top right graph

Step-by-step explanation:

A function when determined graphically is a graph that passes the straight line test, which means if there is any two points on the graph which you can plot a vertical straight line going through both of them it is not a function.  If 1 x value is equal to 2 y values, it is not a function.

8 0
3 years ago
Read 2 more answers
Please Help , Thank You
olya-2409 [2.1K]
I'll go with A and B 

Hope this helps 
6 0
3 years ago
Read 2 more answers
In the equation b= a-2, which is the independent variable and which is the dependent variable ? Explain???? need help i don't un
Nataliya [291]
A is independent while b is dependent.

This is because b is equal to a decreased by 2. Anytime a changes, then b does as well. B can only change in accordance with a.
7 0
3 years ago
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