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
arsen [322]
2 years ago
12

I need help with this

Mathematics
1 answer:
Monica [59]2 years ago
7 0

Using derivatives, it is found that regarding the tangent line to the function, we have that:

  • The slope is of 962.
  • The equation of the line is y = 962x - 5119.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:

f(x) = 5x³ + 2x + 1.

The derivative is given by:

f'(x) = 15x² + 2.

Hence the slope at x = 8 is:

m = f'(8) = 15(8)² + 2 = 962.

The line goes through the point (8,f(8)), hence:

f(8) = 5(8)³ + 2(8) + 1 = 2577.

Hence:

y = 962x + b

2577 = 962(8) + b

b = -5119.

Hence the equation is:

y = 962x - 5119.

More can be learned about tangent lines at brainly.com/question/8174665

#SPJ1

You might be interested in
According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increa
MAVERICK [17]
7720 + 80x = 3200 + 120x

I think this is correct.  Hope it helps!
4 0
3 years ago
What’s the value of -3
tatiyna

Answer:

None

Step-by-step explanation:

5 0
3 years ago
Brainiest to whoever right
marishachu [46]

Answer:

The area is 7.5 square units

8 0
3 years ago
HELP NEED IT PLEASE UGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG
ra1l [238]

Answer:

15

Step-by-step explanation:

to get sides JK and ML, you have to use ratios. the ratio is 3:2 so therefor ml and jk are 4.5

Then you add 4.5 and 4.5 and 3 and 3 to get you 15

3 0
2 years ago
Plzzzz I need the answer
ivann1987 [24]
There’s nothing on the image soo
7 0
2 years ago
Other questions:
  • What is 5/8 as a decimal?
    13·1 answer
  • What is the probability of rolling doubles on 2 dice
    11·2 answers
  • Please help me! I'm spending 50 points on this question and my last two questions never even got answered!
    6·1 answer
  • HELP Please I will mark brainliest
    8·2 answers
  • Can somebody plz help?
    9·2 answers
  • Can some one please help me on math​
    11·1 answer
  • Please answer this correctly
    12·2 answers
  • The note a4, above middle c has a frequency of 440 hz. sounds travels at about 340 m/s. what is the wavelength of middle a?
    15·1 answer
  • Is 0.35 grater than 300 mL
    7·1 answer
  • HELP PLEASE!!!A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 perce
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!