Answer:
General Formulas and Concepts:
<u>Calculus</u>
Limits
- Limit Rule [Variable Direct Substitution]:
Differentiation
- Derivatives
- Derivative Notation
The definition of a derivative is the slope of the tangent line:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
<em />
<u>Step 2: Differentiate</u>
- [Function] Substitute in <em>x</em>:
- Substitute in functions [Definition of a Derivative]:
- Simplify:
- Evaluate limit [Limit Rule - Variable Direct Substitution]:
- Simplify:
∴ the derivative of the given function will be equal to 4 divided by x².
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Learn more about derivatives: brainly.com/question/25804880
Learn more about calculus: brainly.com/question/23558817
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Answer:
tan (30°) = b/5
Step-by-step explanation:
this is the answer
46.75 - 0.10(46.75) = 46.75 - 4.675 = 42.075 rounds to 42.08
ur simply taking ur discounted price of $ 46.75 and subtracting 10% of 46.75....leaving u with a final price of 42.08
Answer:
Elena got the dilation portion correct but she reflected incorrectly.
Step-by-step explanation:
We can see she got the dilation correct by multiplying our points by a factor of 2 and moving accordingly from the starting point of D.
What is shown is actually a reflection over a line that we can imagine as running straight up and down from point D. Basically if D was on the y axis we could easily see and say it's reflected over the y axis.
Answer: a) 0.5636 b) 0.7881
Step-by-step explanation:
We assume that women’s heights are normally distributed .
Let x be the random variable that represents the shoe sizes.
Also, The population mean = ; Standard deviation:
a) Formula for z:-
Put x= 64, we get
Now, the probability that the male shoe sizes are greater than 8 :-
Hence, the probability that her height is less than 64 inches = 0.5636
b. Sample size : n= 25
Then , the formula for z :-
Put x= 64, we get
Then, the probability that they have a mean height less than 64 inches.:_
Hence, the probability that they have a mean height less than 64 inches. =0.7881