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3 years ago

2) Use the definition f'(x) = lim

Mathematics

1 answer:

Tresset [83]3 years ago

7 0

lim h→0 f(x + h) − f(x)h= limh→0x+h −4xh= limh→04x−4(x+h)x(x+h)= limh→04hhx(x + h)= limh→04x(x + h)=4x2.

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HELP!!!

ella [17]

Answer:

120

Step-by-step explanation:

We are given that the function for the number of students enrolled in a new course is $f(x) = 4^{x}-1$ .

It is asked to find the average increase in the number of students enrolled per hour between 2 to 4 hours.

We know that the average rate of change is given by,

$A = \frac{f(x)-f(a)}{x-a}$ ,

where f(x)-f(a) is the change in the function as the input value (x-a) changes.

Now, the number of students enrolled at 4 = f(4) = $f(x) = 4^{4}-1$ = 255 and the number of students enrolled at 2 = f(2) = $f(x) = 4^{2}-1$ = 15

So, the average increase $A=\frac{f(4)-f(2)}{4-2}$ = $A=\frac{255-15}{4-2}$ = $A=\frac{240}{2}$ = 120.

Hence, the average increase in the number of students enrolled is 120.

3 0

3 years ago

5/8 divided by 2<br><br> I need this fast!

Annette [7]

Answer:

1 1/4

Step-by-step explanation:

5/8 ÷ 2

Copy dot flip

5/8 * 2/1

Rewriting

5/1 * 2/8

5 * 1/4

5/4

1 1/4

6 0

3 years ago

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How to solve this equation 28 = 14 + r

viktelen [127]

Answer:

28-14=14

so r is 14

14 +14=28

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3 years ago

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Lmk if you can slide answer rn

sattari [20]

A. 70in³ i hope this helps!

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3 years ago

Are all negative numbers really 0

algol13

Answer:

Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.

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2 years ago