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elena-14-01-66 [18.8K]
3 years ago
14

Please Help Quickly!!! Find the limit if f(x) = x^3

Mathematics
1 answer:
jeka943 years ago
4 0

Answer:

Option b. 12

Step-by-step explanation:

This exercise asks us to find the derivative of a function using the definition of a derivative.

Our function is f(x) = x^{3}. Therefore:

f(2+h) = (2+h)^{3}

f(2) = (2)^{3} = 8

Then:

\lim_{h \to \0} \frac{f(2+h)-f(2)}{h}=\lim_{h \to \0} \frac{(2+h)^{3}-8}{h}

Expanding:

\lim_{h \to \0} \frac{(2+h)^{3}-8}{h} =\lim_{h \to \0} \frac{8+ h^{3} +6h(2+h) -8}{h} =\lim_{h \to \0} \frac{h^{3} +6h(2+h)}{h}

\lim_{h \to \0} \frac{h^{3}+ 6h(2+h)}{h} =\lim_{h \to \0} h^{2} + 6(2+h)

Now, if x=0:

\lim_{h \to \0} \frac{f(2+h)-f(2)}{h} = (0)^{2} +6(2+0) = 12

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Solve F=D+Drt for t.....
Anuta_ua [19.1K]

Answer:

t = \frac{-D+F}{Dr}

Step-by-step explanation:

Step 1: Flip the equation.

  • Drt + D = F

Step 2: Subtract D from both sides.

  • Drt + D - D = F - D
  • Drt = -D + F

Step 3: Divide both sides by Dr.

  • \frac{Drt}{Dr} = \frac{-D+F}{Dr}
  • t = \frac{-D+F}{Dr}

6 0
2 years ago
(PLEASE ANSWER!!!! BRAINLEST!)) Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Answer the statement below as true or
Alex787 [66]
This answer would be false srry if im wrong but thats what i think
8 0
3 years ago
For a standard normal random variable, what z-score has (a) probability 0.175 to the right?
Mumz [18]
Answer: 0.935

Explanation: 

Let S = z-score that has a probability of 0.175 to the right. 

In terms of normal distribution, the expression "probability to the right" means the probability of having a z-score of more than a particular z-score, which is Z in our definition of variable Z. In terms of equation:

P(z ≥ S) = 0.175   (1)

Equation (1) is solvable using a normal distribution calculator (like the online calculator in this link: http://stattrek.com/online-calculator/normal.aspx). However, the calculator of this type most likely provides the value of P(z ≤ Z), the probability to the left of S.

Nevertheless, we can use the following equation:

P(z ≤ S) + P(z ≥ S) = 1 
⇔ P(z ≤ S) = 1 - P(z ≥ S)  (2)

Now using equations (1) and (2):

P(z ≤ S) = 1 - P(z ≥ S)
P(z ≤ S) = 1 - 0.175 
P(z ≤ S) = 0.825

Using a normal distribution calculator (like in this link: http://stattrek.com/online-calculator/normal.aspx),

P(z ≤ S) = 0.825
⇔ S = 0.935 

Hence, the z-score of 0.935 has a probability 0.175 to the right.
7 0
3 years ago
3.50 over(divided by) X equals 19.25<br>what is X?
castortr0y [4]

Answer:

x=0.18 repeating

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable x

4 0
2 years ago
Ok what is 84% of 311?
kobusy [5.1K]
It would be: 311*84 / 100 = 311 * 0.84 = 261.24
So, your answer is 261.24
8 0
3 years ago
Read 2 more answers
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