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Mrac [35]
3 years ago
5

Math-Limits and Derivative. Could anybody help me,please ?

Mathematics
1 answer:
Serhud [2]3 years ago
7 0

Answer:

Step-by-step explanation:

Hello, please consider the following.

\displaystyle f'(0)=\lim_{x\rightarrow0} {\dfrac{f(x)-f(0)}{x-0}}\\\\=\lim_{x\rightarrow0} {\dfrac{\dfrac{\sqrt{1+x}-1}{x}-k}{x}}\\\\=\lim_{x\rightarrow0} {\dfrac{\dfrac{\sqrt{1+x}-1-kx}{x}}{x}}\\\\=\lim_{x\rightarrow0} {\dfrac{\sqrt{1+x}-1-kx}{x^2}}\\

Thank you

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3. A fence is made up of eight 8 5/7-foot sections. How long is the fence? Write your answer as a mixed number in lowest terms.
rewona [7]

Answer:

Step-by-step explanation:

3)A fence is made up of eight 8 5/7-foot sections. This means the total number of feet's is 8 × 8 5/7. Expressing 8 5/7 as improper fraction, it will be 61/7 feet's

The total length of the fence =

8 × 61/7 = 488/7 feet's

Expressing as mixed fraction, it becomes

69 5/7 feets

4) Cynthia spent 3/4 of her time at the gym on the stair machine. She spent a total of 21 3/4 minutes on the stair machine. This means that the time she spent on the gym is 3/4 × 21 3/4 .

Converting 21 3/4 to improper fraction, it becomes 87/4

The time she spent on the gym

= 3/4 × 87/4 = 261/16

= 16 5/16 minutes

5) On Monday, Ryan jogged 1 ½ miles in ¼ hour. On Wednesday he jogged 2 1/3 miles in 1/3 hour. Converting to improper fractions,

the miles ran on Monday= 1 ½ miles = 3/2 miles

the miles jogged on wednesday = 2 1/3 miles = 7/3 miles

How much farther did Ryan jog on Wednesday than on Monday? This would be 7/3 - 3/2

= 5/6 miles

6) One requires 2/3 cup of flour, another requires 7/8 cup of flour, and the third require 3/4 cup of flour.

Total amount of flour that Josh will use is

2/3 +7/8 +3/4 = (16+21+18)/24

= 55/25 = 2 7/25 cups of flour

5 0
3 years ago
This week, Jim practiced the piano 1 1/8 hours on Monday and 2 3/7 hours on Tuesday. How many hours did he practice this week? H
Ainat [17]

Let's make these two fractions have a common denominator and an improper fraction:

1 1/8 = 9/8 =  63/56

2 3/7 = 17/7 = 136/56

63/56 + 136/56 = 199/56 = 3 31/56

So in total, he practiced 3 31/56 hours this week.

He practiced 1 17/56 hours longer on Tuesday than Monday.

3 0
3 years ago
Read 2 more answers
What is (5.03x -8.03) - (3.5x +6.2)?
Kryger [21]

Answer:

1.53x−14.23

Step-by-step explanation:

<em>simplify: </em>

5.03x−8.03−(3.5x+6.2)

<em>Distribute the Negative Sign:</em>

=5.03x−8.03−1(3.5x+6.2)

=5.03x−8.03−1(3.5x)+(−1)(6.2)

=5.03x−8.03−3.5x−6.2

<em>Combine Like Terms:</em>

=5.03x−8.03+−3.5x−6.2

=(5.03x−3.5x)+(−8.03−6.2)

=1.53x−14.23

4 0
3 years ago
Read 2 more answers
Select all of the zeros of the function f(x) = (3x – 4)(x+2).
lisabon 2012 [21]

Answer:

x = -2 and 3/4

Step-by-step explanation:

3x - 4 = 0

3x = 4

x = 3/4

x + 2 = 0

x = -2

Hopefully this helps!

Brainliest please?

8 0
3 years ago
What is the answer for 5x+2=2x-10
Lady bird [3.3K]

5x+2=2x-10

3x=-12

x=-4

4 0
3 years ago
Read 2 more answers
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