1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikitadnepr [17]
3 years ago
13

Find the indicated quantities for y equals f (x )equals 3 x squared. ​(A) Simplify StartFraction f (3 plus Upper Delta x )minus

f (3 )Over Upper Delta x EndFraction . ​(B) What does the quantity in part ​(A) approach as Upper Deltax approaches​ 0?
Mathematics
1 answer:
torisob [31]3 years ago
5 0

Answer:

6x

Step-by-step explanation:

Given that a function f(x) is given as

y=f(x) = 3x^2

A) f(x+ \Delta x) = 3((x+ \Delta x)^2=3(x^2+2x \Delta x+\Delta x^2)\\f(x) = 3x^2\\f(x+ \Delta x) -f(x) = 6x  \Delta x +\Delta x^2

Now divide by delta x

\frac{f(x+ \Delta x) -f(x)}{\Delta x}\\=6x+\Delta x

B) When delta x tends to 0, this becomes

6x

(NOte: This is the derivative of f(x))

You might be interested in
Can you please help me?
Igoryamba
The correct answer should be 192.
3(8)^2=3x64
6 0
2 years ago
8 is 40% of what number? *
Travka [436]

Answer:

20

Step-by-step explanation:

0.4x = 8

0.4x/0.4 = 8/0.4

x = 20

8 0
2 years ago
PLZ HELP<br><br>What is the radius and diameter of the following circle?
bearhunter [10]
The radius of the circle is 7 cm because the radius is half of the diameter. In your case, the diameter is 14 cm. So half of 14 is 7. 7 cm is the answer.
Hope this helps.
7 0
3 years ago
Read 2 more answers
When a banks customer makes an ATM withdrawal from the customers account which
Nat2105 [25]

Answer:

Classes representing assets.

Step-by-step explanation:

4 0
2 years ago
Name:
zvonat [6]

Answer:7.375?

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The population of a species is modeled by the equation p(t)=-t^4+72t^2+225, where t is the number of years. find the approximate
    7·1 answer
  • Sharon was going through the financial records of her company. The profit earned by the company, p(t), over time t, in years, fo
    12·1 answer
  • What's.725put into a fraction
    14·1 answer
  • The following picture shows two gears meshed together with the arrows lined up. Gear A has 48 teeth, while gear B has 28 teeth.
    12·1 answer
  • Select all that apply. Which of the following are proportions? 25/10=5/2,3/4=8/10,2/8=3/12,3/4=15/20
    8·2 answers
  • You build and sell toy boxes. So far, you have built 15 toy boxes that you will sell for $60 each. How much money will you have
    8·1 answer
  • Express 75cm/s in m/s​
    5·1 answer
  • 6 cm equals how many mm?​
    8·1 answer
  • Name the x- and y- intercepts for equation 2x- y=6
    8·2 answers
  • X−8π=π someone help me answer this
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!