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1 year ago

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Need help asap will give brainlyest to correct answers

2 answers:

Fantom [35]1 year ago

7 0

1 . 18
2 . 96
3 . 18
4 . 132

gayaneshka [121]1 year ago

6 0

i buy u brainly math tortuor if u what me to

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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:

<u>Calculus</u>

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:

<u>Step 1: Define</u>

<em>Identify</em>

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

<u>Step 2: Solve</u>

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

2 years ago

consider the point (x,y) lying on the graph of y=(x+3)^1/2. let L be the distance between the points (x,y) and (4,0). write l as

olga_2 [115]

$L=\sqrt{ (x-4)^2 + y^2 }$
and
$y=\sqrt{x+3} \Rightarrow x = y^2-3$

$L=\sqrt{ (x-4)^2 + y^2 }=\sqrt{ (y^2 - 3-4)^2 + y^2 }=\sqrt{ (y^2-7)^2 + y^2 }$

6 0

2 years ago

Identify the equation of a line in slope-intercept form that is parallel to y = 2.5x + 5 and passes through (2, 3).

Feliz [49]

Answer:

y=2.5x-2

Step-by-step explanation:

7 0

2 years ago

32 divied by y is equal to the product of three and y minus four

VLD [36.1K]

Answer:

your answer is y = 8/3

Step-by-step explanation:

6 0

2 years ago

What is the solution of the system? Use any method.<br><br> 3x + 2y = 7<br> y = –3x + 11

Gnom [1K]

Answer:

$(5,-4)$

Step-by-step explanation:

SOLVE BY SUBSTITUTION:

STEP 1: Replace all occurrences of $y$ with $-3x+11$ in each equation.

$-3x+22=7\\y=-3x+11$

STEP 2: Solve for $x$ in the first equation.

$x=5\\y=-3x+11$

STEP 3: Replace all occurrences of $x$ with $5$ in each equation.

$y=-4\\x=5$

6 0

2 years ago