Please someone help its calculus and i need #2! Its finding instantaneous rate of change!

Please Someone Help Its Calculus And I Need #2! Its Finding Instantaneous Rate Of Change!

Answers

Answer 1

Answer:

[tex]\displaystyle 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoringFunctionsFunction Notation

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Derivatives

Derivative Notation

Instantons Rate of Change

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x² + x - 1

x = 1

Step 2: Find Change

Substitute in variables [Instantaneous Rate of Change]:                           [tex]\displaystyle \lim_{x \to 1} \frac{f(x) - f(1)}{x - 1}[/tex]Substitute in function:                                                                                   [tex]\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 1 - [2(1)^2 + 1 - 1]}{x - 1}[/tex]Simplify:                                                                                                         [tex]\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 1 - 2}{x - 1}[/tex]Combine like terms:                                                                                     [tex]\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 3}{x - 1}[/tex]Factor:                                                                                                           [tex]\displaystyle \lim_{x \to 1} \frac{(x - 1)(2x + 3)}{x - 1}[/tex]Simplify:                                                                                                         [tex]\displaystyle \lim_{x \to 1} (2x + 3)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle 2(1) + 3[/tex]Simplify:                                                                                                           [tex]\displaystyle 5[/tex]

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

Unit: Derivatives

Book: College Calculus 10e


Related Questions

what is the pattern for the sequence 2 3 5 8 13​

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Can you be more specific please

3. (03.06) Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope of 1/2​

Answers

Answer:

The answer is

[tex] \huge y + 3 = \frac{1}{2} (x - 6) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question we have the final answer as

[tex]y + 3 = \frac{1}{2} (x - 6) \\ [/tex]

Hope this helps you

What is the value of 8 + (-3) + 15 - (-40)

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Answer:

60

Step-by-step explanation:

:)

Answer:

60

Step-by-step explanation:

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Answer:74 years old?

Step-by-step explanation:

Which car gets home first? Type exactly like this but with blanks filled in. Car __ gets home first. It gets home in __ hours. It takes car __ longer to get home.

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Answer:Car A gets home first. It gets home in 10 hours. It takes car B longer to get home.

Step-by-step explanation:

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Student council sold tickets to a holiday social. Tickets sold in advance were $12
each and tickets sold at the door the night of the social were $15. Total ticket sales
were $2,400.
A. Write an equation for the total number of tickets sold if x represents tickets sold in
advance and y represents tickets sold at the door.
B. If 90 tickets were sold in advance, how many were sold at the door?

Answers

Answer:

12x + 15y = 2400. 88 were sold at the door

A^-3/A^2
Exponents not sure how to do this

Answers

Answer:

1/A^5

Step-by-step explanation:

A^-3 = 1/A^3

1/A^3/A^2= 1/A^5

9x^5 – 18x^3 + 3x^2​

Answers

Answer:

=3x^2(3x^3-6x+1)

Step-by-step explanation:

Translate the English phrase into an algebraic expression: the product of 9 and 7.

Answers

Answer: 9 × 7 = x

Step-by-step explanation:

Product means the solution to two numbers being multiplied, in this case it's 9×7. Answer to that equation is 63

Which picture would be best to use on a yearbook page to illustrate Cesar Chavez's
contributions to society?
Oa medal
O a dollar bill
Oa grape
O a march

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Answer:

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Step-by-step explanation:

If f(x)=2x -3, find f(-2)

Answers

Answer:

f(-2)=-7

Step-by-step explanation:

f(-2)=2(-2)-3

f(-2)=-4-3

f(-2)=-7

What is the |-6|? Use the number line to show your thinking.How many numbers are 9 units from 0?

Answers

Answer:

6, 9

Step-by-step explanation:

i’m pretty sure it’s 6,9

−3 1/3⋅(−2 7/10) Please Help Me

Answers

Answer:

9

Step-by-step explanation:

Simplify the following:

-(3 + 1/3) (-(2 + 7/10))

Hint: | Multiply all instances of -1 in -(3 + 1/3) (-(2 + 7/10)).

(-1)^2 = 1:

(3 + 1/3) (2 + 7/10)

Hint: | Put the fractions in 2 + 7/10 over a common denominator.

Put 2 + 7/10 over the common denominator 10. 2 + 7/10 = (10×2)/10 + 7/10:

(3 + 1/3) (10×2)/10 + 7/10

Hint: | Multiply 10 and 2 together.

10×2 = 20:

(3 + 1/3) (20/10 + 7/10)

Hint: | Add the fractions over a common denominator to a single fraction.

20/10 + 7/10 = (20 + 7)/10:

(3 + 1/3) (20 + 7)/10

Hint: | Evaluate 20 + 7.

20 + 7 = 27:

(3 + 1/3)×27/10

Hint: | Put the fractions in 3 + 1/3 over a common denominator.

Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:

27/10 (3×3)/3 + 1/3

Hint: | Multiply 3 and 3 together.

3×3 = 9:

((9/3 + 1/3)×27)/10

Hint: | Add the fractions over a common denominator to a single fraction.

9/3 + 1/3 = (9 + 1)/3:

27/10 (9 + 1)/3

Hint: | Evaluate 9 + 1.

9 + 1 = 10:

10/3×27/10

Hint: | Express 10/3×27/10 as a single fraction.

10/3×27/10 = (10×27)/(3×10):

(10×27)/(3×10)

Hint: | Cancel common terms in the numerator and denominator of (10×27)/(3×10).

(10×27)/(3×10) = 10/10×27/3 = 27/3:

27/3

Hint: | Reduce 27/3 to lowest terms. Start by finding the GCD of 27 and 3.

The gcd of 27 and 3 is 3, so 27/3 = (3×9)/(3×1) = 3/3×9 = 9:

Answer: 9

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Answers

Answer:

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Step-by-step explanation:

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picture doesn’t load.

5 5/6 + 1 5/12

A. 7 1/4

B. 6 10/18

C. 4 5/12

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Answers

Answer:

A

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Decimal Form: 7.25

Mixed Number Form: 7 1/4

Find the square root of the number.
✓ =18
The square root is

Answers

Answer:

THE SQUARE ROOT IS 4.243

Step-by-step explanation:

Exact form : 3√2
Decimal form :4.24264068

Which of the following is NOT an INTEGER?
A.) 6
B.) 0
3.) -3/4
4.) -25

Answers

0 zero can never be a Integer it is not positive or negative
I don’t think I really know but I think the other guy should help you

Drag each tile to the correct box.
Arrange the equations in order from least to greatest based on their solution.
PLEASE HELP


Equation A
Equation B
Equation C
<

Answers

Answer:

Step-by-step explanation:

Equation (A)

5(x - 6) + 3x = [tex]\frac{3}{4}(2x-8)[/tex]

5x - 30 + 3x = [tex]\frac{3}{2}x-6[/tex]

8x - 30 = 1.5x - 6

8x - 1.5x = 30 - 6

6.5 x = 24

x = [tex]\frac{24}{6.5}[/tex]

x = 3.69

Equation (B)

2.7(5.1x + 4.9) = 3.2x + 28.9

13.77x + 13.23 = 3.2x + 28.9

13.77x - 3.2x = 28.9 - 13.23

10.57x = 15.67

x = 1.48

Equation (C)

5(11x - 18) = 3(2x + 7)

55x - 90 = 6x + 21

55x - 6x = 90 + 21

49x = 111

x = 2.27

Solutions from these equations from least to greatest;

1.48 < 2.27 < 3.69

Equation (B) < Equation (C) < Equation (A)

Answer:

B, C, A

Step-by-step explanation:

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Step-by-step explanation:

Xavier saved money to purchase a bike that originally cost $250, not including tax. The store discounted the bike by 20%. What is the discounted price he will pay for the bike, not including tax?

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$300.00


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Answer:

Step-by-step explanation:

B

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Answer:

Step-by-step explanation:

3

2 cups because it goes up by 1/2, and one half + one half = a whole, so it is 2.

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TRUST

A bag contains 120 marbles some are red and the rest are black there are 19 red marbles for every black marble how many red marbles are in the bag.



Answers

Answer:

114 red marbles

Step-by-step explanation:

The ratio is 19:1

19+1=20

120/20=6

19(6)+1(6)=120

114+6=120

answer: 114 red marbles


What is the slope of AC?pls help me

Answers

Answer:

The slope of AC is 2.

you go up 6 units and run 3 units

6/3 = 2

Answer:

Slope = 2.

Step-by-step explanation:

from the graph

x1 = 2 x2 = 5

y1 = 1 y2 = 7

Slope = (y2 - y1)/(x2 - x1)

= (7 - 1)/(5 - 2)

= 6/3

= 2.

if you go from 90 kilometers per hour to 0 in 6 seconds what is your rate of deceleration

Answers

Answer:

Not sure, but i believe it's 90/6 = 15  

Step-by-step explanation:

(WILL GIVE BRAINLEST AND 100 POINTS)

6 + (4+9) =19 Rewrite using the Associative Property


75 X 9= 675 Rewrite using the Distrubutive Property


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Answers

Answer:

4+(6+9)=19675÷9=755*4*6=120

Step-by-step explanation:

I hope this helps you and I'm sorry for the other answer people gave you, have a good day!

Arrange the investments in order from the highest risk and return potential to the lowest risk and return potential.
the stock of a large company with a long
history of stable returns and dividends
rental real estate in a stable city with
average economic growth
a US Treasury bond that matures in 6
months and pays 1.5% interest
the stock of a small company with a wide
range of price swings

Answers

Answer:

1: the stock of a small company with wide range of pric swing s

2: the stock of a large company with long history of stable returns and dividends

3: rental real estate in a sable city with average economic growth

4: a US treasury bond that matures in 6 months and pays 1.5% in Teresa

Step-by-step explanation:

I just took that test!

The arrangement is as follows;

The stock of a small company with wide range of price swing.The stock of a large company with long history of stable returns and dividends .Rental real estate in a sable city with average economic growth . US treasury bond that matures in 6 months and pays 1.5% in Teresa

Learn more: brainly.com/question/16911495

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 4 0% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 1 4 adult dogs is studied. What is the standard deviation of the number of dogs who weigh 65 lb or more?

Answers

Answer:

The standard deviation of the number of dogs who weigh 65 lbs or more is 1.83.

Step-by-step explanation:

Let X represent the number of adult Australian sheep dogs weighing 65 pounds or more.

It is provided that the probability of occurrence of X is, p = 0.40.

A sample of n = 14 adult dogs is studied.

Each dog's weight is independent of the others.

The random variable X follows a Binomial distribution.

The standard deviation of a Binomial distribution is:

[tex]\sigma=\sqrt{np(1-p)}[/tex]

Compute the standard deviation of the number of dogs who weigh 65 lbs or more as follows:

[tex]\sigma=\sqrt{np(1-p)}[/tex]

   [tex]=\sqrt{14\times 0.40(1-0.40)}\\\\=\sqrt{3.36}\\\\=1.83303\\\\\approx 1.83[/tex]

Thus, the standard deviation of the number of dogs who weigh 65 lbs or more is 1.83.

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