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3 years ago

The expression (3x^3y^2)^3is equivalent to

Mathematics

1 answer:

dsp733 years ago

8 0

Answer:

The expression is equivalent to 27 x⁹ y⁶.

Step-by-step explanation:

Please mark me brainliest, if I helped.

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Find the derivative of

kirill [66]

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

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

Step 2: Differentiate

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

Step 3: Solve

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

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches

katen-ka-za [31]

Answer:

Step-by-step explanation:

If you add the lengths of two sides, 12 and 14, you will get 28. Using the above theorem, the third side cannot be greater than or equal to 28. Therefore, the greatest possible whole-number length of the unknown side is 27.

4 0

3 years ago

The life span of a certain bacteria is 22 hours, with a standard deviation of 1.5 hours. In a random sampling of 5,000 bacteria,

kupik [55]

Answer:

hi!!!!!!!!!!

Step-by-step explanation:

hi!!!!!!!!!

4 0

4 years ago

Please help me im very depressed and im struggling a lot on my math and i really need some answers

expeople1 [14]

pls dont cheat on quiz: ask for extra practice from teacher and ask questions if you don't get material

4 0

3 years ago

Read 2 more answers

Which side lengths cannot form a triangle? Select all that apply.

jarptica [38.1K]

7cm,8cm,13cm

16cm,4cm,18cm

11cm,21cm,13cm

5 0

3 years ago