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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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Steve made $50 raking leaves and $75 mowing lawns. He gave 60% of his earnings to his mother. How much does Steve give his mothe
jeyben [28]

Answer:

$75

Step-by-step explanation:

50+75=125

125 x 0.6= 75

Steve gives 75 dollars to his mother

7 0
2 years ago
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5. A parallelogram has vertices D(-1,1) E
inysia [295]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
Someone please help me with this question !!!!
Lyrx [107]

Answer:

34.3 in, 36.3 in

Step-by-step explanation:

From the question given above, the following data were obtained:

Hypothenus = 50 in

1st leg (L₁) = L

2nd leg (L₂) = 2 + L

Thus, we can obtain the value of L by using the pythagoras theory as follow:

Hypo² = L₁² + L₂²

50² = L² + (2 + L)²

2500 = L² + 4 + 4L + L²

2500 = 2L² + 4L + 4

Rearrange

2L² + 4L + 4 – 2500 = 0

2L² + 4L – 2496 = 0

Coefficient of L² (a) = 2

Coefficient of L (n) = 4

Constant (c) = –2496

L = –b ± √(b² – 4ac) / 2a

L = –4 ± √(4² – 4 × 2 × –2496) / 2 × 2

L = –4 ± √(16 + 19968) / 4

L = –4 ± √(19984) / 4

L = –4 ± 141.36 / 4

L = –4 + 141.36 / 4 or –4 – 141.36 / 4

L = 137.36/ 4 or –145.36 / 4

L = 34.3 or –36.3

Since measurement can not be negative, the value of L is 34.3 in

Finally, we shall determine the lengths of the legs of the right triangle. This is illustrated below:

1st leg (L₁) = L

L = 34.4

1st leg (L₁) = 34.3 in

2nd leg (L₂) = 2 + L

L = 34.4

2nd leg (L₂) = 2 + 34.3

2nd leg (L₂) = 36.3 in

Therefore, the lengths of the legs of the right triangle are 34.3 in, 36.3 in

5 0
3 years ago
Can someone please help me asap with the problem above
GarryVolchara [31]
Do 4.25 divided by 16 witch equals 0.2656625 but you have to round it to 0.27/oz. do 4.55 divided by 20 witch is 0.2275 but you have to round to 0.23/oz now witch is better 0.27 or 0.23 so a 4.55 dollars for a20 oz drink is the better buy
4 0
3 years ago
Write a system of equations to describe the situation below, solve using elimination, and fill in
Rudik [331]

Answer:

1x2x4x7x87

Step-by-step explanation:

7 0
3 years ago
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