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Fynjy0 [20]
3 years ago
10

Transformations Review

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0

Answer:

0

Step-by-step explanation:

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6 0
3 years ago
Find the derivative of
kirill [66]

Answer:

\displaystyle y'(1, \frac{3}{2}) = -3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Functions
  • Function Notation
  • Terms/Coefficients
  • Exponential Rule [Rewrite]:                                                                              \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>

Derivatives

Derivative Notation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle y = \frac{3}{2x^2}<u />

\displaystyle \text{Point} \ (1, \frac{3}{2})

<u>Step 2: Differentiate</u>

  1. [Function] Rewrite [Exponential Rule - Rewrite]:                                            \displaystyle y = \frac{3}{2}x^{-2}
  2. Basic Power Rule:                                                                                             \displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}
  3. Simplify:                                                                                                             \displaystyle y' = -3x^{-3}
  4. Rewrite [Exponential Rule - Rewrite]:                                                              \displaystyle y' = \frac{-3}{x^3}

<u>Step 3: Solve</u>

  1. Substitute in coordinate [Derivative]:                                                              \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}
  2. Evaluate exponents:                                                                                         \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}
  3. Divide:                                                                                                               \displaystyle y'(1, \frac{3}{2}) = -3

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

Unit: Derivatives

Book: College Calculus 10e

6 0
3 years ago
What property is shown by the equation?
Tom [10]
E. negative one property of multiplication.
3 0
3 years ago
Need answers ASSAP
ollegr [7]
Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: \pi \approx3.14
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

<span>Calculate the volume of the paint bucket (its formed being cylindrical), we have:
</span>V =  \pi *r^2*h 
V = 3.14 *3.5^2*8 
V = 3.14*12.25*8
\boxed{V = 307.72\:in^3}

<span>What was the total cost of the paint?

</span>price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (<span>directly proportional)
</span>
\frac{0.05}{y} = \frac{1}{307.72}
multiply cross
1*y = 0.05*307.72
y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark

Answer:
<span>the total cost of the paint is $15</span>
7 0
3 years ago
X^2 +18 =15 could anyone help me with this?
stiv31 [10]

Answer:

x = i√3, -i√3

Step-by-step explanation:

Simply take the root of both sides, then solve.

8 0
3 years ago
Read 2 more answers
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