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:
The relation on the bottom left, where the mouse is, is the function. Hope this helps :)
Let the three items be M, Y and P.
n{M ∩ Y} only = 4-3 = 1
n{M ∩ P) only = 5-3 = 2
n{ Y ∩ P} only = 2
n{M} only = 12-(1+3+2) = 6
n{Y} only = 10-(1+2+3) = 4
n{P} only = 14-(2+3+2) = 7
n{M∩P∩Y} = 3
Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.
Answer:
33.5
-by-step explanation:
8.5 + (12 + 4) × 2 - 7
Use PEMDAS ( I think this is right hope it helps!)
Decimals are a number and a dot and more numbers