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
Vikki [24]
3 years ago
8

Find an equation for the tangent to the curve at the given point y=x^3 , (2,8)

Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0

\bf y=x^3\implies \left. \cfrac{dy}{dx}=3x^2 \right|_{x=2}\implies \stackrel{\stackrel{m}{\downarrow }}{12} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{8})~\hspace{10em} slope = m\implies 12 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-8=12(x-2) \\\\\\ y-8=12x-24\implies y=12x-16

You might be interested in
Can someone help please? And explain it.
sineoko [7]

Answer:

2 : 6 = 14 : 42

32 : 64 = 12 : 24

Step-by-step explanation:

This is ratios.

2 : 6 = 14 : 42 is because 2 can go into 14, 7 times, so that makes it a multiple of 2. Than you just multiply the 6 by 7 that will get you to 42.

32 : 64 = 12 : 24 is because 12 is doubled on the other side to get 24, so you just double 32 and get 64.

Hope this helps!!!


3 0
3 years ago
WILL GIVE BRAINLIEST<br> Solve for y in terms of w, x, and z.<br> x=zyw<br> y=
Advocard [28]

Answer:

y= x/zw

Step-by-step explanation:

Isolate the variable by dividing each side by the factors that dont contain the variable

x = zyw /zw

y=x/zw

3 0
3 years ago
In a national park the distance between the base of two cliffs is 312 feet . The angle of elevation from the base of the shorter
Sever21 [200]
339 bridge length x as modeled below
4 0
3 years ago
4.9x 10^2 as a decimal number????
harkovskaia [24]

Answer:

490.0...

Step-by-step explanation:

4.9 x 10^2

(squared)

4.9 x 10 x 10

the easiest way to do this is to move the decimal 2 places to the right, as

10 x 10 = 100

4.9 x 100 = 490.0...

7 0
3 years ago
Eli and his children went into a movie theater and will buy candies and pretzels. Each candy costs $3.50 and each pretzel costs
GenaCL600 [577]

Answer: 3.50c + 3.25p <_ 30

Step-by-step explanation:

You need to put the price of 3.5 C plus the price of 3.25 P to be lest that or equal to $30

5 0
3 years ago
Read 2 more answers
Other questions:
  • guys I really need help with part c) I literally have no idea how to this. given that tan(pi/8)=sqrt(2)-1. I am really looking f
    10·2 answers
  • Using the data: 2, 2, 3, 3, 3, 4, 5, 6, 6, 10
    14·2 answers
  • A soccer field measures 300 feet by 180 feet. What is the area of the field?
    14·1 answer
  • Two fifths of a number equals 564. what is the number
    8·2 answers
  • Or does anyone know how to solve this one ?
    6·1 answer
  • Hi! please help i’ll give brainliest
    11·1 answer
  • Find the circumference
    9·2 answers
  • Identify the domain of the function shown in the graph.
    9·1 answer
  • Help me plzzzzzzzzzzzzzzzzzzzzzzzzz
    5·2 answers
  • A line has a slope of 9 and passes through the point (0, 5). What is its equation in slope -intercept form?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!