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leonid [27]
3 years ago
13

Does the funtion satisfy the mean value theorem on the given interval? f(x)=e^-5x, [0,2]

Mathematics
1 answer:
brilliants [131]3 years ago
7 0
Yes, because it is continuous on [0,2] and differentiable on (0,2), the theorem states that there must exist some value c where a line tangent to c is parallel to the secant line through 0 and 2.
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8 Darpan runs a distance of 12 km and then cycles a distance of 26 km. His running speed is x km/h and his cycling speed is 10 k
Sonja [21]

The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x  + 26/10x

<h3>What is speed?</h3>

Speed can be calculated as the ratio of distance traveled to the time taken

Darpan runs a distance of 12 km and then cycles a distance of 26 km.

Total distance = 12 + 26 = 38km

The running speed is x km/h

A = x

The cycling speed is 10 km/h faster than his running speed

B = 10x

He takes a total time of 2 hours and 48 minutes.

So, the total time he takes

Time = Distance x speed

2.48 = 12/x  + 26/10x

10x(2.48) = 120 + 26

24.8x = 146

x = 5.8

Learn more about speed here;

brainly.com/question/7359669

#SPJ1

8 0
2 years ago
Jill collected a total of 19 gallons of honey.if she distributes all of the honey equally between 9 jars,how much honey will be
sergeinik [125]

Answer:

2.1 gaallons of honey

Step-by-step explanation:

If you have to istrubute things then its obvous you need to divide something.  To get 19 equally into 9 containers you divide 19 by 9 an get 2.1

I hope this helped

8 0
3 years ago
The perimeter of a stop sign is 99.2 inches. Each side of the stop sign is equal.
san4es73 [151]

Answer: The equation can be written as 8n = 99.2.

Step-by-step explanation:

In my answer, I used the variable n to distinguish itself as one side of the stop sign. 99.2 is the final perimeter in inches.

A stop sign is an octagonal shape (otherwise, it is made up of 8 equal sides). Therefore, with this information, you can interpret that the length of one side would be equal to the length of all of the other sides.

Hence, the answer can be represented as 8n = 99.2.

6 0
3 years ago
A number plus five times its reciprocal is equal to 6<br>Find the number. ​
USPshnik [31]

Answer:

5, 5+ 5(1/5) 5 is the number

6 0
3 years ago
The ratio of boys to girls in a class is 6:4. If there is a total of 30 students in the class, how many are boys?
OleMash [197]

Answer:

x=3

6x=18 boys

4x=12 girls

3 0
3 years ago
Read 2 more answers
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