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stich3 [128]
3 years ago
8

Radio listeners were asked to call in and pick their two favorite rodents. The listeners had 4 choices: Woodchuck, Prairie dog,

Beaver, and chipmunk. Which of the following is the complete list of the possible pairs of rodents?
Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0
W=Woodchuck
P=Prairie dog
B=Beaver
C=Chipmunk


WP    PB     BC
WB    PC     ----
WC    ----     ----
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General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients

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<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

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Derivative Rule [Quotient Rule]:                                                                           \displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = \frac{\sqrt{x}}{e^x}

<u>Step 2: Differentiate</u>

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  3. Exponential Differentiation:                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{(e^x)^2}
  4. Simplify:                                                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}
  5. Rewrite:                                                                                                         \displaystyle f'(x) = \bigg( \frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x \bigg) e^{-2x}
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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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