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
lidiya [134]
3 years ago
9

Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

n point.
y = (e2x + 1)3,(0 , 8)
Mathematics
1 answer:
Romashka [77]3 years ago
3 0

Answer:

Equation of tangent to the line will be y=6x+8

Step-by-step explanation:

We have given equation y=3(e^{2x}+1)=3e^{2x}+3

We have to find the equation of tangent passing through the point (0,8)

Slope of the line will be equal to \frac{dy}{dx}=6e^2x+0=6e^{2x}

At point (0,8) slope will be \frac{dy}{dx}=6e^{2\times 0}=6

Equation of line is given by

y-y_1=m(x-x_1), here m is slope of the line which is equal to 6 here

So equation of line passing through (0,8)

y-8=6(x-0)

y=6x+8

So equation of tangent to the line will be y=6x+8

You might be interested in
At bright minds learning , 75% of employees work as instructors . If there are 300 employees at bright mind Learning , how many
Scilla [17]

Answer:

225

Step-by-step explanation:

75/100×300=225

3 0
3 years ago
In 2018, Yolanda paid $4,526 in Social Security tax. If the Social Security tax rate was 6.2% to the maximum income of $128,400
lana [24]

Answer:

$73000

Step-by-step explanation:

Given: Social security tax paid by Yolanda is $4562.

         6.2% tax to be paid on earning to the maximum income of $128400.

Lets assume Yolanda´s income be `x`.

Now, calculating the taxable income of Yolanda

∴ 62\% \times x= \$ 4526

⇒ \frac{62}{100} \times x= 4526

Cross multiplying both side

⇒ x= \frac{4526\times 100}{6.2}

∴x= $73000

∴ Yolanda´s taxable income is $73000.

7 0
3 years ago
Graph the image of square RSTU after a rotation 270° counterclockwise around the origin.
djyliett [7]

Rotating 270 degrees counterclockwise about the origin is the same as rotating 90 degrees clockwise about the origin, which can be expressed in coordinate notation (x,y) \longrightarrow (y, -x).

So, the vertices of the image are:

U(4,0) \longrightarrow U'(0, -4)\\\\T(5,0) \longrightarrow T'(0, -5)\\\\S(5,-1) \longrightarrow S'(-1, -5)\\\\R(4, -1) \longrightarrow R'(-1, -4)

8 0
2 years ago
What is a term called that has no variable? constant or coefficient
tatyana61 [14]

Answer: It is constant

8 0
3 years ago
Read 2 more answers
-4 + -7 (-2) =? Minus equations always give me trouble :/
USPshnik [31]
<span>-4 + -7 (-2)
= -4 + 14 (a negative multiplies a negative equal positive)
= 10</span>
8 0
2 years ago
Read 2 more answers
Other questions:
  • Alicia is making a triangular sign for the school play. The area of the sign is 558 in. The base of the triangle is 36in. What i
    6·2 answers
  • Quinn used breaking apart to find the product of 37 x 4 her answer was 124 what did she do incorrectly
    12·1 answer
  • Describe two ways that 5,000 and 500 are related
    5·1 answer
  • If JM = 5x – 8 and LM = 2x – 6, which expression represents JL? A line with the following points labeled left to right: J, K, L,
    12·1 answer
  • PLLLLLLLLLLLLLZ HELP ANSWER IF YOU KNOW
    12·1 answer
  • (x2 + 3x – 4) + (2x3 - 2x + 5)​
    13·2 answers
  • | 3. Find the Area of the triangle.<br> 8.6 yd<br> 10.9 yd
    14·2 answers
  • Describe some possible combinations (at least 2) of 4-seat tables and 6-seat tables that will seat 160 customers. Explain how yo
    8·1 answer
  • What’s the numerator for the following rational expression please I need help quick taking test currently
    12·1 answer
  • Help on this math problem!! if there is any work that can be shown it would be great thanks!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!