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3 years ago

15

What information do you need in order to determine the total distance Sam drives versus the actual displacement between his star

ting and ending points?

1 answer:

Alenkinab [10]3 years ago

5 0

Answer:

his path

Step-by-step explanation:

In order to determine the total distance driven from one place to another, you need to know the path taken.

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The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

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>Geometry</u>

Area of a Rectangle: A = lw

l is length
w is width

<u>Calculus</u>

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

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

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle l = 10 \ meters$ <u />

<u /> $\displaystyle \frac{dl}{dt} = 4 \ m/day$ <u />

<u /> $\displaystyle w = 23 \ meters$ <u />

<u /> $\displaystyle \frac{dw}{dt} = 1 \ m/day$ <u />

<u />

<u>Step 2: Differentiate</u>

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

<u>Step 3: Solve</u>

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

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

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0

3 years ago

(5x^2 - 2x^3 + x) - (6x^3 - 8x^2 - x)

pashok25 [27]

Answer:

-8x^3+13x^2+2x

8 0

3 years ago

Read 2 more answers

Please help me with 12 and the question below it, plz thank youuu!!!

borishaifa [10]

13 units from 20 could either be 33 or 7; 15 units from -8 could either be 7 or 23.Since 7 satisfy both of the above requirements, Sarah's favorite number is 7. (You could show your work using a number line)

The two possibilities of Neil's favorite number are 26 and -12.

7 0

3 years ago

Read 2 more answers

Add the following fractions. See the image below

LenKa [72]

Answer:

$\dfrac{19}{840}$

Step-by-step explanation:

The given fraction is:

$\dfrac{1}{168}+\dfrac{3}{180}$

We need to solve it.

The LCM of 168 and 180 is 2520.

So,

$\dfrac{1}{168}+\dfrac{3}{180}=\dfrac{15+3\cdot14}{2520}\\\\=\dfrac{19}{840}$

So, the required answer is equal to $\dfrac{19}{840}$ .

3 0

2 years ago

Derivative of cos(4x)

son4ous [18]

D/dx ( cos (4x)) = - sin (4x) · d/dx ( 4x) = - 4 sin (4x)

7 0

3 years ago