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ZanzabumX [31]
3 years ago
5

Let the function f be continuous and differentiable for all x. Suppose you are given that f(−1)=−3, and that f'(x) for all value

s of x. Use the Mean Value Theorem to determine the largest possible value of f(5).

Mathematics
1 answer:
Monica [59]3 years ago
8 0

Answer:

Step-by-step explanation:

By MVT,

f'(c) = \frac{f(5)-f(-1)}{5-1}

4f'(c)= f(5) + 3\rightarrow f(5) = 4f'(c) - 3

Moreover, f'(x)\leq 4~~~~~~ \forall x,

f(5) \leq 16 - 3 =13

Hence the largest possible value of f(5) is 13

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What is the terminating decimal for 11/15
d1i1m1o1n [39]

Answer:

11/15 = 0.733333

But the terminating decimal is 0.73

Step-by-step explanation:

5 0
3 years ago
Daily low temperatures in Columbus, OH in January 2014 were approximately normally distributed with a mean of 15.45 and a standa
Alona [7]

Answer: 12.10

Step-by-step explanation:

Given : Mean : \mu = 15.45

Standard deviation : \sigma = 13.70

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x= 5 degrees

z=\dfrac{5-15.45}{13.70}=-0.7627737226\approx-0.76

For x= 10 degrees

z=\dfrac{10-15.45}{13.70}=-0.397810218\approx-0.40

The P-value : P(-0.76

=0.3445783-0.2236273=0.120951\approx0.1210

In percent , 0.1210\times100=12.10\%

Hence, the percentage of days had a low temperature between 5 degrees and 10 degrees = 12.10%

5 0
3 years ago
.16 divided by .03220 round to the nearest tenth
vredina [299]

Answer:

Aosvsixixbs ss

Step-by-step explanation:

Hsbsisbdncofnsvzjzpzxkd9fnjd9dbdbdbd9sbd9ddbdjbdbd9sbs0ssnsidbx9sgzysvs8dvztdgz4sgaz1xhdgshs2zts3sts4wys5dhs6dud7rjd8rjr9rpeebeha1afa2sda3sfs4sgs5dgs6dhd7fhf8fjf9dhf10

6 0
3 years ago
Read 2 more answers
Hello everyone I need help with this worksheet it's ten problems answer the ones you know for me please it's homework.
Fed [463]

Answer:

1. Slope = -4/5

2. Slope = 2/3

3. Slope = 0

4. Slope = 3/-4

5. Slope = 7/-12

6. Slope = 1/2

7. Slope = -2/0 --> Undefined

8. Slope = 3/-2

9. Slope = 5/-4

10. Slope = 4/3

Step-by-step explanation:

Ok so I'm assuming that you want the slope for all the two points. Basically, the formula for slope is rise/run, or y2-y1/x2-x1. Solve using that. For example, for number 1, it would be:

10-2/1-11 = 8/-10 = -4/5

5 0
2 years ago
Find the MAD for this set of data.
Nostrana [21]

Answer:

Hence MAD=0.8

Step-by-step explanation:

<u>MAD-</u>

MAD is also known as Mean Absolute Deviation.

We find MAD by the following steps:

  • Firstly we find the mean of the data
  • Then we subtract each entry from the mean to obtain the deviation
  • Then find the absolute value of the deviation which is also known as absolute deviation.
  • Finally we find the mean of the absolute deviation.

Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.

The absolute deviation is given as:

1    3    1    0    0    1    0    0    1    1

The mean of this is calculated as:

\dfrac{1+3+1+0+0+1+0+0+1+1}{10}=\dfrac{8}{10}=0.8

Hence, MAD=0.8




7 0
3 years ago
Read 2 more answers
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