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
qwelly [4]
3 years ago
14

Find the linear approximation for f(x) = 12x3 + 3x2 + x + 2 at x= 1.

Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

y = 43x − 25

Step-by-step explanation:

Evaluate the function at x=1:

f(x) = 12x³ + 3x² + x + 2

f(1) = 12 + 3 + 1 + 2

f(1) = 18

Find the slope of the tangent line at x=1:

f'(x) = 36x² + 6x + 1

f'(1) = 36 + 6 + 1

f'(1) = 43

Point-slope form:

y − y₀ = m (x − x₀)

y − 18 = 43 (x − 1)

Convert to slope-intercept form:

y − 18 = 43x − 43

y = 43x − 25

Graph:

desmos.com/calculator/giumpkkphr

You might be interested in
Seven tickets for a Broadway show cost $385. How much will only 4 tickets cost?
irina1246 [14]

Answer:

That seems a little hard-

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Twenty-four players divided into three teams?
avanturin [10]
24÷3=8

There will be eight players on each team.
8 0
3 years ago
Read 2 more answers
If the factors of a quadratic function are (x + 2) and (x − 9), what are the x-intercepts of the function?
Zielflug [23.3K]

Answer: D. (-2,0) and (9,0)

Step-by-step explanation:

When you equate the factors to 0 you get

(X+2) = 0

X = -2

(X-9) = 0

X= 9

Here the Y value is 0 as you find the factors of x when the Y value is 0.

So the answer is (-2,0) and (9,0)

8 0
2 years ago
Madison is making party flavors she wants to make enough flavors so each guest gets the same number of flavors she knows there w
bazaltina [42]

Answer:


Step-by-step explanation:

To find the least number of party favors, we have to consider the number of guests.


In this case, there are two possibilities—6 or 8.


For 6: 6, 12, 18, 24 (Add 6 to each number)

For 8: 8, 16, 24 (Add 8 to each number)


Now in both series, the least number (that is in common) is 24. Hence, Madison should make at least 24 party favors.




7 0
2 years ago
There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85
QveST [7]

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

6 0
3 years ago
Other questions:
  • Geometry help???????
    10·1 answer
  • Can someone plz answer this
    13·2 answers
  • What is 2 + 2 divided by 2 + 6 -3
    6·1 answer
  • Which of the following is equal to the expression below? (160x243)^1/5
    15·1 answer
  • [Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?
    7·1 answer
  • What is the value of y in the product of p-3 · p-6 = py
    9·2 answers
  • Rewrite the equation in slope intercept form. 4x + 5y = 8
    13·2 answers
  • Help me i'm lost :( please i have exam!:(
    9·1 answer
  • PLEASE HELP!!!!!!!
    12·1 answer
  • Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!