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jasenka [17]
3 years ago
9

The measure of angle θ is 3pi/2. The measure of its reference angle is pi /,

Mathematics
1 answer:
Damm [24]3 years ago
6 0
I know for a fact that the reference angle for 3pi/2 is pi/2 so the first one is A, and if I'm not mistaken, the second one should be undefined. I'm not sure about the second one.
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OLEGan [10]
-12.5 or -12 1/2 so easy
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Mrs. Regan went shopping and purchased 37 trees for the yard. ​Mr. Regan also went shopping and bought some trees. ​ ​If they ha
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45=M

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3 years ago
Jim earned $700 this week. This was $20 less than four times the amount he earned last week. Which equation, when solved for x,
joja [24]

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What is the value of begin expression . . . 81 times x raised to the second power, times y raised to the third power, plus z . .
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The given expression is
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4 0
3 years ago
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Help differentiate this
Arte-miy333 [17]

Answer:

\displaystyle y' = 20x^3 + 6x^2 + 70x + 9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients
  • Expand by FOIL
  • Functions
  • Function Notation

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]:                                                              \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Derivative Property [Addition/Subtraction]:                                                            \displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹  

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle y = (x^3 + 7x - 1)(5x + 2)<em />

<em />

<u>Step 2: Differentiate</u>

  1. Product Rule:                                                                                                    \displaystyle y' = \frac{d}{dx}[(x^3 + 7x - 1)](5x + 2) + (x^3 + 7x - 1)\frac{d}{dx}[(5x + 2)]
  2. Basic Power Rule [Derivative Property - Addition/Subtraction]:                   \displaystyle y' = (3x^{3 - 1}+ 7x^{1 - 1} - 0)(5x + 2) + (x^3 + 7x - 1)(5x^{1 - 1} + 0)
  3. Simplify:                                                                                                             \displaystyle y' = (3x^2+ 7)(5x + 2) + 5(x^3 + 7x - 1)
  4. Expand:                                                                                                             \displaystyle y' = 15x^3 + 6x^2 + 35x + 14 + 5(x^3 + 7x - 1)
  5. [Distributive Property] Distribute 5:                                                                 \displaystyle y' = 15x^3 + 6x^2 + 35x + 14 + 5x^3 + 35x - 5
  6. Combine like terms:                                                                                         \displaystyle y' = 20x^3 + 6x^2 + 70x + 9

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

Unit: Derivatives

Book: College Calculus 10e

4 0
3 years ago
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