C) 6x ( 3 - 2x^2)
d) 6x^2 (2x + 1)
Answer:
a. SE = 0.403 mol
Step-by-step explanation:
The standard error of the mean, is the standard deviation of means of means.
It is calculated using,
We have the standard deviation to be
and the sample size is n=146.
We substitute the values to get:
We approximate to three decimal places to get:
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Integrals
- Definite Integrals
- Area under the curve
- Integration Constant C
Integration Rule [Reverse Power Rule]:
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
Area of a Region Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 6x + 19
Interval [12, 15]
<u>Step 2: Find Area</u>
- Substitute in variables [Area of a Region Formula]:
- [Integral] Rewrite [Integration Property - Addition/Subtraction]:
- [Integrals] Rewrite [Integration Property - Multiplied Constant]:
- [Integrals] Integrate [Integration Rule - Reverse Power Rule]:
- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Answer:
One solution
Step-by-step explanation:
y = 2x – 5. –8x – 4y = –20. one solution: (–2.5, 0)
Answer:
452.16 units^2
Step-by-step explanation:
Given
Radius = r= 6 units
The formula for finding the surface area of a sphere is:
In the formula, π is taken as 3.14.
So, the surface area of the given sphere is 452.16 units^2 ..