Answer: 165 combination can be possible.
Step-by-step explanation:
Here, According to the question,
Different types of machines in the weight room in gym = 11
And, . Geoff has time to use only 3 of them this afternoon.
Therefore, total number of different combination of machine can geoff choose from to use
= 
=
( because
)
= 
= 
=
= 
= 
Answer:
15
Step-by-step explanation:
Answer:
The volume of the cylinder is
cubic feet.
Step-by-step explanation:
From Geometry we remember that volumes of a cone and a cylinder with the same radius (
), measured in feet, and height (
), measured in feet, are defined by the following equations:
Cone
(1)
Cylinder
(2)
The ratio of the volume of the cylinder to the volume of the cone is:
(3)
If we know that
, then the volume of the cylinder is:

The volume of the cylinder is
cubic feet.
Answer:

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
Integration
Integration Rule [Reverse Power Rule]:

Integration Property [Multiplied Constant]:

Integration Methods: U-Substitution and U-Solve
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
<em />
<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution/u-solve</em>.
- Set <em>u</em>:

- [<em>u</em>] Differentiate [Derivative Rules and Properties]:

- [<em>du</em>] Rewrite [U-Solve]:

<u>Step 3: Integrate Pt. 2</u>
- [Integral] Apply U-Solve:

- [Integrand] Simplify:

- [Integral] Rewrite [Integration Property - Multiplied Constant]:

- [Integral] Apply Integration Rule [Reverse Power Rule]:

- [<em>u</em>] Back-substitute:

∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Answer:
9408,Is the only number that can divide into the same number to get exactly down to 1.
Step-by-step explanation: