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3 years ago

If the square root of 16 = x, then x2 =

Mathematics

2 answers:

solmaris [256]3 years ago

6 0

Answer:

Step-by-step explanation:

16=x

16 square root is 4

16=4

(4)2= 8

USPshnik [31]3 years ago

3 0

Answer:

x2 or 2x=8

Step-by-step explanation:

the square root of 16 is 4

since the other term is 2*x you plug-in numbers and get 2*4=8

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Implicit differentiation Please help

Anvisha [2.4K]

Answer:

$y''(-1) =8$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Factoring

Calculus

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Quotient Rule: $\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

-xy - 2y = -4

Rate of change of the tangent line at point (-1, 4)

Step 2: Differentiate Pt. 1

Find 1st Derivative

Implicit Differentiation [Product Rule/Basic Power Rule]: $-y - xy' - 2y' = 0$
[Algebra] Isolate y' terms: $-xy' - 2y' = y$
[Algebra] Factor y': $y'(-x - 2) = y$
[Algebra] Isolate y': $y' = \frac{y}{-x-2}$
[Algebra] Rewrite: $y' = \frac{-y}{x+2}$

Step 3: Find y

Define equation: $-xy - 2y = -4$
Factor y: $y(-x - 2) = -4$
Isolate y: $y = \frac{-4}{-x-2}$
Simplify: $y = \frac{4}{x+2}$

Step 4: Rewrite 1st Derivative

[Algebra] Substitute in y: $y' = \frac{-\frac{4}{x+2} }{x+2}$
[Algebra] Simplify: $y' = \frac{-4}{(x+2)^2}$

Step 5: Differentiate Pt. 2

Find 2nd Derivative

Differentiate [Quotient Rule/Basic Power Rule]: $y'' = \frac{0(x+2)^2 - 8 \cdot 2(x + 2) \cdot 1}{[(x + 2)^2]^2}$
[Derivative] Simplify: $y'' = \frac{8}{(x+2)^3}$

Step 6: Find Slope at Given Point

[Algebra] Substitute in x: $y''(-1) = \frac{8}{(-1+2)^3}$
[Algebra] Evaluate: $y''(-1) =8$

6 0

3 years ago

Read 2 more answers

The value of a certain stock tripled. If you knew what the stock used to be worth, how would you find how much it is

SpyIntel [72]

Take the amount that it first was and multiple by 3…..?

5 0

1 year ago

Toothy the crocodile wants to eat a delicious chicken. His mouth is open to an angle of 30 degrees.

damaskus [11]

Answer: 25°

Step-by-step explanation:

From the question, Toothy the crocodile wants to eat a delicious chicken and his mouth is open to an angle of 30 degrees but he needs to open his mouth to the angle of 55 degrees for the chicken to fit.

The additional angle that Toothy's mouth needs to be open so he can eat the chicken will be:

= 55° - 30°

= 25°

7 0

3 years ago

Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…

sammy [17]

The sum of the first five terms is 11/2

<h3>How to determine the sum?</h3>

The series is given as:

1/2, -1,2,-4…

Calculate the common ratio of the series using