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2 years ago

F(x)

Mathematics

1 answer:

jeka942 years ago

8 0

Answer:

-5

Step-by-step explanation:

because 6-1=-5 therefore the is -5

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Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?

stepladder [879]

Answer:

$\displaystyle 64$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Rule [Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to c} x^n = c^n$

Limit Property [Multiplied Constant]: $\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \lim_{x \to 0} f(x) = 4$

Step 2: Solve

Rewrite [Limit Property - Multiplied Constant]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4$
Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)$
Simplify: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

3 0

3 years ago

Question 1: A ratio of 28 to 12 can be expressed in simplest form as:

vichka [17]

It’s 7:3
Explanation
It’s 7:3 because 28 divided by 4 is 7 and 12 divided by 4 is 3

3 0

3 years ago

On Saturday, 45% of the music Brianna listened to was country songs. She listened to 27 country songs on Saturday. How many song

Arte-miy333 [17]

Answer:

60 songs.

Step-by-step explanation:

The percentages there are an equal sign so

0.45x=27

x=60

So Brianna listened to 60 songs!

5 0

3 years ago

What number is 25% of 60?

nekit [7.7K]

25% of 60 is 15$ or just 15

6 0

3 years ago

Read 2 more answers

John is twice as old as Mary. The sum of their ages is 21. How old is Mary?

lesya692 [45]

J=john
m=mary
j is 2 times as old as mary
j=2 times m

sum is 21
m+j=21
find mary
subsitute

j=2m therefor subsitute 2m for j
m+2m=21
add like terms
3m=21
divide by 3
m=7

mary=7

*HOPE I HELPED!*

6 0

3 years ago