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dolphi86 [110]
3 years ago
10

Evaluate the root without using a calculator, or note that the root isn't a real number.

Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

9514 1404 393

Answer:

  A. 2

Step-by-step explanation:

When you don't know if a number like 256 is a power of anything, it can work reasonably well to start by simply dividing by the factors you know.

  • 256/2 = 128
  • 128/2 = 64
  • 64/2 = 32
  • 32/2 = 16
  • 16 = 2^4, so 256 = 2^4 · 2 · 2 · 2 · 2 = 2^8

The 8th root of 2^8 is 2, choice A.

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Please help with this AP Calculus question !
melomori [17]

Answer:

C.  \displaystyle \frac{cos(x)}{x} - ln(x)sin(x)

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Rule [Product Rule]:                                                                             \displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Trig Derivatives

Logarithmic Derivatives

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = ln(x)cos(x)

<u>Step 2: Differentiate</u>

  1. Derivative Rule [Product Rule]:                                                                     \displaystyle f'(x) = \frac{d}{dx}[ln(x)]cos(x) + ln(x)\frac{d}{dx}[cos(x)]
  2. Logarithmic Derivative:                                                                                 \displaystyle f'(x) = \frac{1}{x}cos(x) + ln(x)\frac{d}{dx}[cos(x)]
  3. Trig Derivative:                                                                                             \displaystyle f'(x) = \frac{1}{x}cos(x) + ln(x)[-sin(x)]
  4. Simplify:                                                                                                         \displaystyle f'(x) = \frac{cos(x)}{x} - ln(x)sin(x)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Book: College Calculus 10e

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3 years ago
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= (65-32) ÷ 1.8

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