: Find the equation of the tangent line to the curve f(x)= e^xat x_0= 2, and show this line on the graph.

Answers

Answer 1

The tangent line to f(x) = e ˣ at the point x = 2 has slope equal to f ' (2):

f(x) = e ˣ → f '(x) = e ˣ → f ' (2) = e ²

At x = 2, the function takes on a value of f (2) = e ². Use the point-slope formula to get the equation of the tangent line:

y - e ² = e ² (x - 2)

Solve for y :

y = e ² x - e ²

Related Questions

Find the mean, median, mode, and the range. The picture is for number 12 to 15

1. 6, 9, 2, 4, 3, 6, 5

2. 453, 345, 543, 345, 534

3. 8, 2, 9, 4, 6, 8, 5

4. 1, 15, 9, 12, 18, 9, 5, 14, 7

5. 3, 9, 4, 3, 9, 4, 2, 3, 8

6. 157, 124, 157, 124, 157, 139

Use the picture above to answer the exercise 12 to 15

12. What is the mode?

13. What is the median?

14. What is the mean?

15. If the price of swimming lessons went up to six dollars would it change the

a. Mode?

B. Median?

C mean?

D. Range?

Answers

Answer:

mean - 5

median - 5

mode - 6

range - 7

mean - 444

median - 453

mode - 345

range - 198

mean - 6

median - 6

mode - 8

range - 7

mean - 10

median - 9

mode - 9

range - 17

mean - 5

median - 4

mode - 3

range - 7

mean - 143

median - 148

mode - 157

range - 33

12) 9

13) 10

14) 10, 5

15)

If the price of swimming lessons went up to mean and mode would change.

mean - 9.66666667 (9.6 repeating)

median - 10

mode - 10

range - 13

If you were to flip a coin 50 times, how many times would you expect the coin to land on tails? Type your answer here. Submit Answer

Answers

Answer:

about 25 times each

Step-by-step explanation:

There is a 50% chance of landing on each side

tony completes one lap of a track every 20 seconds. diana completes one lap of the same track every 55 seconds. suppose tony and diana start at the starting line at the same time. how many seconds will it be before they cross the starting line at the same time again?

Answers

Answer:

220 seconds.

Step-by-step explanation:

55, 110, 165, 220.

20,40,60,80,100,120,140,160,180,200,220.

Both have 220 in common so will cross at 220 seconds at the same time.

Hello pls help will give good old BRAINLYEST YAY

Answers

Answer:

Step-by-step explanation:

The mean, median, and mode all are 3

John buys an item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price that John pays, including tax?

Answers

Answer:

$43.20

Step-by-step explanation:

20% of $50.00 is $10.00. $50 - $10 is $40. 8% of $40 is $3.20. Since this is tax, you must add it. $40+$3.20 = $43.20

St. Francis Bank pays 4% interest, compounded daily, from the date of deposit to the date of withdrawal. The daily interest rate (to the nearest milionths' place)
for October 14 (92 days in the quarter) on this account is:
0.000109.
0.000112
0.000098.

Answers

Answer:

The daily interest rate on this account = 0.000109

Step-by-step explanation:

Given that,

Interest rate = 4% compounded daily

i.e

Interest is 4% per annum and it is compounded daily.

Now,

We know , 1 year = 365 days

and 1 year interest rate = 4% = [tex]\frac{4}{100}[/tex] = 0.04

So,

The daily interest rate = [tex]\frac{0.04}{365}[/tex] = 0.000109

∴ we get

The daily interest rate on this account = 0.000109

A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.

Answers

Answer : 169

Step-by-step explanation:

4(x+19) = 752

4x +76 = 752

4x = 752 - 76

x = 676/4

x=169

Hope this helps ;)

Please mark me the BRAINLIEST

In 2010, the number of clown costumes sold at a single costume shop was 15. By 2015, that number had grown to 30. Assuming a constant increase in clown costume sales, calculate the unit rate of change (slope) from 2010 to 2015.
what's the answer please

Answers

Answer:

2009

Step-by-step explanation:

because 30434+3439438=34343434837 so that means its 2009

How high is the end of the ladder against a building

Answers

Is there a picture or no?

What is the formula of sine?
Question 1 options:
Opposite/Hypotenuse
Opposite/Adjacent
Adjacent/Hypotenuse

Answers

Formula for sine: Opposite/Hypotenuse

Cory writes the polynomial x7 + 3x5 + 3x + 1. Melissa writes the polynomial x7 + 5x + 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?

Answers

Answer:

Yes??

Step-by-step explanation:

7+3x5+3x+1

7+15+3x+1

22+3x+1

3x+23

7+5x+10

5x+17

Yes, much difference

---

hope it helps

sorry if i'm wrong, sum of the x's confused me

Answer:D

Step-by-step explanation:

The exchange rate is 156 pesos for 1 US dollar. You have $20.00 US. How many pesos do you have?
A. $128.00
B. $0.13
C. $3,120.00
D. $312.00

Answers

Step-by-step explanation:

C you are gonna have 3,120.00 pesos

Alice has 5 quarters and 2 nickels. How many cents does Alice have

Answers

Answer:

Alice has 135 cents, or $1.35.

Step-by-step explanation:

A quarter is worth 25 cents.A nickel is worth 5 cents.Multiply 25 by 5, since there are 5 quarters. That will give you 125.Multiply 5 by 2, since there are 2 nickels. That will give you 10.Add 125 and 10. That will give you 135, which is your answer!

wae21q42rwe2q4q2rwe3rq244e2eq2q22q

Answers

What is your question and I’ll try my best to help?

What App or what Website can help me solve problems of Statistics?

Answers

the varsity tutors ap statisyics app (app)

Calculate the area of the shape below.

Answers

Answer:

6 1/2 in^2

Step-by-step explanation:

(4(3 1/4)) / 2 = 6 1/2 in^2

Answer:

6 1/2 or 6.5 in2

Step-by-step explanation:

A= Bxh/2

4x 3.25/2= 6.5

A=6.5 of 6 1/2

most adult medication doses are for a person weighing 150 pounds. for a 45 pound child, the adult dose should be multiplied by 0.3. if the child's dose of a decongestant is 18 milligrams, what is the adult dose?

Answers

Answer: 60

60 divided by 0.3 = 18

Find the vertex of the parabola y = x2 + 5x.

Answers

Write the equation as a mathematical expression.
y = x^2+5x

Rewrite the equation in vertex form
y = (x+(5/2))^2 -(25/4)

Find a h and k using the vertex form y=a(x-h)^2 + k
a=1
h=(-5/2)
k= (-25/4)

answer: (-5/2 , -25/4)

Which point represents the opposite of —5 on the number line?

Answers

Answer:

5 :)

Step-by-step explanation:

The answer that points the opposite of -5 is 5

Anna charges $8.50 an hour to babysit how long will it take to make $51.00

Answers

Answer:

6 hours

Step-by-step explanation:

$51.00 ÷ $8.50 = 6 hours

hope this helps ! :))

Tony weighs his pet turtle on a scale in his bathroom. The turtle weighs 6 1/4 pounds. His turtle weighed 3 1/6 pounds when he first got him. About how much more does his turtle weigh now?

Answers

3 1/12. Find the lowest common denominator. Multiply the the numerator and denominator by that. Then simplify.

A card is picked at random from a pack of 52 playing cards. The probability that it is a 6

Answers

Answer: 4/52 = 1/13

Step-by-step explanation: Every card in the deck has 4 suits which means that there will be 4 sixes in the deck so the probability will be any of the 4 out of the whole 52 or 1/13.

Brainliest plz

(PART 2) Shout to the friend helping me

Answers

Answer:

6. 1351.92

7. -52

8.Bus Pass

9.448

10. No she of by two dollars

On which day of the month were you born?

a Categorical
or
b Numerical

Answers

Answer:

a (typing more bc of limit lolol)

The radius of a circle is 4 centimeters. What is the circle's area?

Answers

The formula to find area of a circle is A = π r².

The radius is 4, so we can plug that in.

A=π4²

4 squared is 16.

A=π(16)

We can use 3.14 for pi.

A=3.14*16

A=50.24

So the area of this circle is 50.24 cm²

---

hope it helps

what is a grid with 4 quadrants and 2 axes?

Answers

Answer: The point at which the two axes intersect is called the origin. ... The intersecting x- and y-axes divide the coordinate plane into four sections. These four sections are called quadrants. Quadrants are named using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise.

Step-by-step explanation:

A grid with 4 quadrants and 2 axes is called as cartesian plane.

What is a cartesian plane?

The cartesian plane is defined as a two-dimensional coordinate plane, which is formed by the intersection of the x-axis and y-axis.

What is a grid?

A grid is a framework of spaced bars that are parallel to or cross each other.

Learn more about grid here

https://brainly.com/question/22785606

#SPJ3

43.1424 divided by 8.56

Answers

Answer: 5.04

Step-by-step explanation:

the answer is 5.04 :p

Solve the equation for s.P-5=3s+8solve for

Answers

Answer:

here you go! i couldnt write it but Goodluck! :)

Step-by-step explanation:

A cruise ship travels at a constant speed. In 3 hours, the ship travels 72 nautical miles. If the ship continues to travel at the same rate, how far would it travel in 11 hours. (No links) (if it’s wrong I will report and delete) (explain)

Answers

Answer:

264

Step-by-step explanation:

72 divided by 3= 24

24x11=264

Keisha’s basketball game started at 3:30 and ended at 4:47. How much time elapsed during the game?

Answers

Answer:

1 hour and 17 min

Step-by-step explanation:

it takes 30 min to get to 4 the another 30 min to get to 4:30 then 17 min to get to 4:47

Other Questions

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