Ask question

Ask question

All categories

3 years ago

9

Explain the difference between -

}" align="absmiddle" class="latex-formula"> and $\sqrt{1}$ .

1 answer:

OLEGan [10]3 years ago

3 0

Step-by-step explanation:

= -√1

= -1

= √1

= 1

Difference -√1 and √1 are the sign of the number, where -√1 is negative and √1 is positive

You might be interested in

У = 2 – 3х<br> Is this a linear equation

Katyanochek1 [597]

Yes this is you can tell because the d is not squared or anything it’s just basic

8 0

3 years ago

What’s the Definition of face

suter [353]

Answer:

the front part of a person's head from the forehead to the chin, or the corresponding part in an animal.

5 0

4 years ago

Describe how the transformed function below is obtained from its parent function. y=1/x -5

cluponka [151]

Answer:

3.5y

Step-by-step explanation:

6 0

3 years ago

Find the derivative of f(x) =( -7/x) at x = -3. <br><br> pls help !!

jeka57 [31]

Answer:

$\displaystyle f'(-3) = \frac{7}{9}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative of a constant is a 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle f(x) = \frac{-7}{x}$ <u />

<u /> $\displaystyle x = -3$ <u />

<u />

<u>Step 2: Differentiate</u>

Quotient Rule: $\displaystyle f'(x) = \frac{\frac{d}{dx}[7]x - \frac{d}{dx}[x](-7)}{x^2}$
Basic Power Rule: $\displaystyle f'(x) = \frac{(0)x - x^{1 - 1}(-7)}{x^2}$
Simplify: $\displaystyle f'(x) = \frac{(0)x - x^0(-7)}{x^2}$
Simplify: $\displaystyle f'(x) = \frac{(0)x - 1(-7)}{x^2}$
Multiply: $\displaystyle f'(x) = \frac{0 + 7}{x^2}$
Add: $\displaystyle f'(x) = \frac{7}{x^2}$

<u>Step 3: Solve</u>

Substitute in <em>x</em> [Derivative]: $\displaystyle f'(-3) = \frac{7}{(-3)^2}$
Evaluate exponents: $\displaystyle f'(-3) = \frac{7}{9}$

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

Unit: Derivatives

Book: College Calculus 10e

5 0

3 years ago

5000 12% compounded quarterly compound interest table find earned after 5 years

kolezko [41]

<h3>Amount earned after 5 years is $ 9030.5561</h3>

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

$A = p(1+\frac{r}{n})^{nt}$

A = the future value of the investment including interest

P = the principal investment amount

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 5000

t = 5 years

$r = 12 \% = \frac{12}{100} = 0.12$

<em><u>n = 4 ( since interest is compounded quarterly )</u></em>

<em><u>Substituting the values we get,</u></em>

$A = 5000(1+\frac{0.12}{4})^{4 \times 5}\\\\A = 5000(1+0.03)^{20}\\\\A = 5000 \times 1.03^{20}\\\\A = 5000 \times 1.806111\\\\A = 9030.5561$

Thus amount earned after 5 years is $ 9030.5561

7 0

3 years ago