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3 years ago

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Mathematics

1 answer:

shutvik [7]3 years ago

5 0

FOE = 60 degrees. let me know if you need to show working

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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

Please help due at 10:00!!!!!!!!!

katovenus [111]

Answer:

9 sheep and 5 goats

Step-by-step explanation:

s + g = 14

125s + 75g = 1500

125( 14 - g ) + 75g = 1500

1750 - 125 g + 75g = 1500

50g = 250

g = 5 goats

s = 9 sheep

6 0

3 years ago

What happens when you have a square root on top of another square root?

worty [1.4K]

Just put the numbers under one square root symbol and try to simplify.

3 0

3 years ago

I have trouble with these two questions, even i did my equation but i don’t get the answers

Sophie [7]

Answer:

$318.17, out of state college is $161.12 cheaper per month

Step-by-step explanation:

72*24 = 1728 + 410*4 = 1728 + 1640 = 3368 + 450 = 18/12 = $318.17

8700+650*9 = 8700 + 5850 = 14550/9 = 1616.66

8500+400*9 = 8500 + 3600 = 12100 + 1000 = 13100/9 = 1455.56

1616.67 - 1455.56= $161.11 (use $161.12)

3 0

3 years ago

A cube has a surface area of 486 square meters. Find the volume of the cube.

joja [24]

486/6=81
Square root 81 = one side length = 9m
volume = 9^3 = 729

7 0

3 years ago

Read 2 more answers