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3 years ago

Which function grows at the fastest rate for increasing values of x?

Mathematics

2 answers:

Andreyy893 years ago

7 0

Take derivitive of each

f'(x)=9
g'(x)=4
h'(x)=12x

so duh, when x>0.75 then h(x) grows at fastest rate, after that. it just keeps going up

andrew11 [14]3 years ago

6 0

Answer:

$\text{Exponential Function: }g(x)=4^x$

B is correct.

Step-by-step explanation:

Given:

$\text{Linear Function: }f(x)=9x+14$

$\text{Exponential Function: }g(x)=4^x$

$\text{Quadratic Function: }h(x)=6x^2+1$

All the functions are specific function.

Growth rate of these function. ( If all are in same increasing )

Exponential > Quadratic > Linear

For increasing value of x

All three functions are increasing function.

Please see the attachment for graph for grow.

Hence, Exponential function grow fastest rate for increasing value of x is g(x)=4ˣ

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Answer:

Son number 1 has 3 full, 5 half, and 3 empty barrels.

Son number 2 has 4 full, 3 half and 4 empty barrels.

Son number 3 has 3 full, 5 half, and 3 empty barrels.

Step-by-step explanation:

Let's first calculate the amount of honey we have (in barrel unit):

10*1 + 13*0.5 + 10*0 = 16.5 honey units

As the father wants to split it equally between the 3 sons, each of them should get 16.5 / 3 = 5.5 honey units

And since we have 33 barrels in total which must be split equally between the sons, each should receive 33 / 3 = 11 barrels.

Since the sons are identical, let's start by splitting each of the barrels equally. We can rearrange later to match all criteria:

3 full, 4 half, and 3 empty for each of the sons, makes it 10 barrels and 3*1 + 4*0.5 + 3*0 = 5 honey unit

For 3 sons there would be 1 full, 1 half and 1 empty barrels left

We can give 1 half barrel to the 1st son, now he has 11 barrels and 5.5 units of honey. He's good to go. we have 1 full, 1 and 1 empty barrels left.

Give the full barrel to the 2nd son, now he has 11 barrels, but 6 unit of honey. So we trade the empty barrel for a half barrel of his. So he would have 4 full, 3 half and 4 empty barrels. That accounts for 11 barrels, 4*1 + 3*0.5 + 3*0 = 5.5 barrels.

We are left with 1 half barrel, that can be given to the 3rd son, now he would have 3 full, 5 half, and 3 empty barrels. That accounts for 11 barrels and 3*1 + 5*0.5 + 3*0 = 5.5 unit of honey.

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3 years ago

For each of the sequences below, enter either diverges if the sequence diverges, or the limit of the sequence if the sequence co

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Answer:

As n tends to positive infinity, we have that,

A. 5/n + n/5 ---- converges

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Step-by-step explanation:

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3 years ago

What is 18/90 in simplest form?

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Both the numerator and the denominator can be easily divided by 9. so you get:
2/10
as you can tell it can still be simplified. both the numerator and denominator can be divided by 2. so your final answer is
1/5

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3 years ago

Read 2 more answers

Is the ans i got correct?<br>the total surface area is 33.8cm² <br>

ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

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