What is the rate of increase for the function f(x)= 1/3(^3 sqr root 24)^2x

Answers

Answer 1

Answer:

The rate of increase for the function $f (x) = (1)/(3)( \sqrt[3]{24}) ^(2x)$ by using formula and identity are,

⇒ $f ' (x) = \frac{4}{\sqrt[3]{3} }$

Using formula and identity are,

$(dx^n)/(dx) = nx^(n - 1)$

And, $(a^x)/(a^y) = a^(x - y)$

Given that,

The function is defined as,

⇒ $f (x) = (1)/(3)( \sqrt[3]{24}) ^(2x)$

We have to find the rate of increase of the given function.

⇒ $f (x) = (1)/(3)( \sqrt[3]{24}) ^(2)x$

Differentiate the function with respect to x,

⇒ $f' (x) = (1)/(3)( \sqrt[3]{24}) ^(2)$

Then, we get;

⇒ $f ' (x) = (1)/(3) (\sqrt[3]{2* 2* 2* 3} )^2$

⇒ $f' (x) = (1)/(3) (2)^2 (3)^{(2)/(3) }$

Using the identity $(a^x)/(a^y) = a^(x - y)$ ,

So, the rate of increase of function is,

⇒ $f ' (x) = \frac{4}{\sqrt[3]{3} }$

To learn more about the function visit:

brainly.com/question/11624077

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Answer 2

Answer: You must simplify the function first until the exponent becomes a flat x. Step 1 Leave 1/3 only that is the value a, initial value. You are looking for the base Step 2 Deal with the parentheses. Factor 24 and you get 2 and the cube of 3. Step 3 Separate the exponent (2) (x) Step 4 Now square each term in parentheses 2 squared and cube 3 squared 2 2 will be 4, the other expression means cube of 3 times cube of 3 and that is cube of 9 Step 5 Your base should be (4 cube of 9)

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What is the cube answer to 24

Answers

Do you mean cube root because the cube root of 24 is 2.88 and other repeating decimals

it would be 2.88 because the cube root

What's 7 divided by 9-6+ you don't need a reason and take your time if it helps

Answers

7/9 -6+8
= 7/9 -54/9+ 72/9
= 25/9
= 2 7/9

The final answer is 2 7/9~

Mystery Letters / I've Never Heard of This Math Problem; Please Help, Thank you

Answers

Showing work: Simply, Division, Multiplication, Addition, Subtraction:

A): ====> A 2, A2, A2, A2, =======> 8

8/4 = 2 ======> Answer =====> A = 2

D): =====> 16 - 4 = 12, 12/2 = 6 ======> D = 6

B): ====> 11 - 10 = 1 ======> B = 1

E): =======> 9 - 5 = 4 =====> E = 4

C): ========> 18 - 8 = 10, 10/2 = 5 ======> C = 5

F): ========> 17 - 10 = 7 =======> F =======> 7

G): ======> 14 - 11 = 3 =======> G = 3

Answers:

A = 2

B = 1

C = 5

D = 6

E = 4

F = 7

G = 3

Across:

A2, A2, A2, A2 ======> 8

E4, B1, F7, C5 ======> 17

A2, D6, A2, D6 =====> 16

B1, A2, G3, C5 ======> 11

Down:

A2, E4, A2, B1 =======> 9

A2, B1, D6, A2 =======> 11

A2, F7, A2, G3 ======> 14

A2, C5, D6, C5 =======> 18

Hope that helps: : )

2 fifths of a number is 14. what is the number?

Answers

In math

"of" means times (x)
"is" means equals (=)
"a number" is your unknown which you can call anything but we'll call x

2/5 of a number is 14

Translation...

2/5 * x = 14

Divide each side by 2/5 to isolate x. To divide a fraction, multiply the reciprocal of the divisor (flip the numerator and denominator).

x = 14 * 5/2
x = 70/2
x = 35

2/5 of 35 is 14.

Mia has a spool of ribbon that is 30.5 yards long. She will cut the ribbon into 5 equal pieces to make bows. What is the length of each piece of ribbon?

Answers

each piece of ribbon will be 6.1 yards long hope this helped ;D

Answer:

6.1 yards long

A recreational center has 15 basketballs and 12 soccer balls.What is the ratio of soccer balls to basketballs in simplest form?

Answers

15:12 = 1:4
Because 15:12 is This fraction is a IMPROPER FRACTION once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denomintor (12). So, the equivalent fraction is a MIXED NUMBER which is made up of a whole number (1) and proper fraction (1/4).

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