Answer:
yes
Step-by-step explanation:
yes but as well it depends is its tilted or not
Answer:
(a)
(b)
(c) Simplifying first
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Product Rule]:
Derivative Rule [Quotient Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
<em />
<u>Step 2: Differentiate Way 1</u>
- Derivative Rule [Quotient Rule]:
- Rewrite [Derivative Property - Addition/Subtraction]:
- Derivative Rule [Product Rule]:
- Rewrite [Derivative Rule - Multiplied Constant]:
- Derivative Rule [Basic Power Rule]:
- Simplify:
- Simplify:
- Simplify:
- Simplify:
- Rewrite:
∴ we find the derivative of the given function but it is a tedious method of computation.
<u>Step 3: Differentiate Way 2</u>
- [Function] Rewrite:
- [Function] Simplify:
- [Derivative] Rewrite [Derivative Property - Addition/Subtraction]:
- Rewrite [Derivative Property - Multiplied Constant]:
- Derivative Rule [Basic Power Rule]:
∴ we find the derivative of the given function <em>and </em>it is less complex and faster. We can conclude that simplifying first appears to be simpler for this problem.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Answer:
100 black marbles
Step-by-step explanation:
The experimental probability of a black marble is
P(black) = 4/20 = 1/5
We expect that out of the 500 marbles in the box, 1/5 of them are black
1/5 (500) = 100
There should be 100 black marbles
X = 2.93583423 + πn, 4.9181474 + πn
Answer:
Step-by-step explanation:
Let x be the random variable that represents the data speed.
Given, Confidence interval for population mean : (13.046, 22.15)
Let be the sample mean.
We need to write the confidence interval in "less than" format.
less than sign → <
Confidence interval in "less than" format will be: