: 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

Raja solved the inequality –3x – 5 ≤ 1. His work is shown below. Where did Raja make an error in his calculation? Explain.

Answers

Answer:

Raja made an error in d equality sign in d answer

Step-by-step explanation:

-3x< or =6

when dividing both sides by -(negative)3, the sign 4 d answer changes

x > or = -2

Please help thank you:)!

Answers

Answer:A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

8/50 = 4/25

give the sinplest fraction answer

Real word example where a
piecework function might be used

Answers

9514 1404 393

Explanation:

Garment factory: workers may get paid by the number of pieces they complete.

__

Wood chopping: the worker gets paid by the number of cords of wood they produce, not by how long it takes.

__

Haircut -- the cost is the same (for the same type haircut) even if more time is spent

____

The above are instances where an individual worker gets paid by the piece they produce. There are numerous instances of companies getting paid by the job, regardless of the length of time or the quantity of materials required to do the job.

Lawn mowing -- the price is fixed each time the crew mows the lawn

Oil Change -- the cost of changing the oil in the car is not dependent on the time it takes or the amount of oil used

Car wash -- a fixed price is paid each time (at an automatic car wash)

what number is greater than 6 but less than 7? 20 40 60 or 80

Answers

6.5 or 65 :ppppppp I get those goosebumps every time

the area of a rectangle with a height of 2 and a width of 5x^2-2x+3

Answers

Answer:

Area is 10x^2 - 4x + 6

Step-by-step explanation:

To find this area, multiply the width and height together:

(5x^2 - 2x + 3)(2) = 10x^2 - 4x + 6

Logarithmic Functions have what type of asymptote?
O Horizontal
O Vertical

Answers

Answer:

Both the square root and logarithmic functions have a domain limited to xx-values greater than 00. However, the logarithmic function has a vertical asymptote descending towards −∞−∞ as xx approaches 00, whereas the square root reaches a minimum yy-value of 00. The range of the square root function is all non-negative real numbers, whereas the range of the logarithmic function is all real numbers.

The factors of 30 are 1 2 3 4 5 6 10 15 and 30 Which if these are prime factors??​

Answers

Answer: 1,2,3,5,

Step-by-step explanation: 1,2,3,5 are prime numbers because they are not a product of two smaller numbers.

Find the maximum power of 5 which can divide 49!

Answers

Answer:

10

Step-by-step explanation:

Steve's mom gave him $20.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.40 per slice, then how much of the money is left at the end of the school week?

Answers

There is 5.6 dollars at the end of the school week

A car journey is in two stages Stage1 the car travels 110 miles in 2 hours Stage 2 the car travels 44 miles at the same average speed as stage 1 Work out the time for stage 2 Give you answer in minutes.

Answers

9514 1404 393

Answer:

  48 minutes

Step-by-step explanation:

The average speed for stage 1 is ...

  speed = distance/time = (110 mi)/(2 h) = 55 mi/h

Then the time for stage 2 is ...

  time = distance/speed = (44 mi)/(55 mi/h) = (4/5 h)(60 min/h) = 48 min

The time for stage 2 is 48 minutes.

Answer:

Solution :-

We know that

SpeeD = Distance/Time

Speed = 110/2

Speed = 55 mi/hr

For, 2

Speed = 44/55

Speed = 4/5

Speed = 48 min

[tex] \\ [/tex]

how many possible outcomes are there?​

Answers

I can only see half the image

1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
5 + 8 =​

Answers

The answer would be 13, good luck.

What are the next 4 multiples of 4/8 in a fraction

Answers

Answer:

8/16, 12/24, 16/32, and 20/45

Step-by-step explanation:

I need help on the pcture​

Answers

Answer:

Where is it?

Step-by-step explanation:

You need to add a picture


PLEASE SOMEONE HELP I WILL GIVE BRAINLIEST
(Look at the picture)

Answers

X=12 because the ABC triangle is doubled the values

The similarity ratio of two similar triangles is equal to the ratio of their corresponding sides :

Similarity ratio = BA / GF = BC / GH = CA / HF

Similarity ratio = 18 / 9 = 14 / 7 = x / 6

x / 6 = 2

multiple sides by 6

6 × x / 6 = 6 × 2

simplification

x = 12

If you borrowed $646 at an interest rate of 5% for 6 years, how much interest will you pay? Round to the nearest tenth if necessary.

Answers

Answer:

P=646

R=5%

T=2yrs

I=?

I=PRT/100

I= 646*5*2/100

I= 64.6

Step-by-step explanation:

Answer:

the answer is 100

Step-by-step explanation:

646 X 5 IS 3000

3000/5 is 600

and then round tenth so its 10

600/10 is 60

60 + 40 = 100 and there you go bravo

Simplify math problems

Answers

Answer: basically simplifying is this

Step-by-step explanation:

2x+4x+8x+3y+2y+9y

we can simplify that to 14x+14y by adding like terms.

or

3(2x+4)

this can be simplified to 6x+12 by distributive property (multiply everything in the parenthesis by 3)

Any help with this question please?

Consider this equation.
c = ax – bx
Joseph claims that if a, b, and c are non-negative integers, then the equation has exactly one solution for x. Select all cases that show Joseph’s claim is incorrect.
A. a – b = 1, c ≠ 1
B. a = b, c = 0
C. a ≠ b, c = 0
D. a – b = 1, c = 0
E. a = b, c ≠ 0

Answers

Answer:

B.a=b, c≠0

C.a=b, c=0

D.a-b=1, c≠1

Step-by-step explanation:

The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x

Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.

A

a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0

B

a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.

C

This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.

D

Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.

E

Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.

From the above, the answer to the question is choices B, C, and D

A collection of coins is inside a bag. Find the probability of selecting a quarter out of the bag by only removing one coin at a time. Each time you select a coin, you mark
the coin on the tally chart below, and then put the coin back in the bag.
Coin
Number of Coins
cent
6
Inickel
4
dime
10
quarter
12

Answers

Answer:3/8

Step-by-step explanation:

Function f(x) has a jump discontinuity at x = 8. Which statement identifies possible one-sided limits at x = 8?
lim flx) DNE and lim f(x) DNE
lim f(x) DNE and lim Flx) = 120
lim flx) = 85 and lim f(x) = 85
*-37
lim Flx) = 85 and lim flx) = 120
O

Answers

Answer:

D

Step-by-step explanation:

EDGE 2021

The limit of the given functions f(x)=85 and lim f(x)=120.

If any of the following conditions are met, a function is said to be discontinuous:

The function at x = a has left- and right-hand bounds, but they are not equal.The function at x = a has a left-hand limit and a right-hand limit that exist, are equal, but are not equal to f(a).

We have given that,

Function f(x) has a jump discontinuity at x = 8.

We have to determine a statement that identifies possible one-sided limits at x = 8.

Then, lim f(x)=85 and lim f(x)=120

learn more about limit here:

brainly.com/question/26867415

#SPJ7

x = -3.
3.2 2 - 16=(x-1)=?

Answers

Answer:

dvide it

Step-by-step explanation:

Find the surface area of a cylinder with a height of 11 feet in a base radius of 3 feet

Answers

Answer:

the answer is about 263.89 feet

write an equation in point-slope form of the line that passes through the point (3, 5) and has a slope or -1

Answers

Answer:

y = -x + 8

Step-by-step explanation:

m = -1  ; x1 = 3 ; y1 = 5

Slope point form: y - y1 = m(x -x1)

y - 5 = -1(x - 3)

y -  5 = -1x - 3 *(-1)

y - 5 =-x + 3

    y =  -x + 3 + 5

     y = -x + 8

A company that manufactuers small canoes has a fixed cost of $14,000. It cost $40 to produce each canoe. The selling price is $80 per canoe

Answers

Answer:

The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.

Step-by-step explanation:

Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:

14/000 / 40 = X

350 = X

350 x 80 = 28,000

Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.

please help
Find the missing side of this right
triangle.
X
7
12
X
= [?]

Answers

Answer:

√193

Step-by-step explanation:

pathagorus theorem:

[tex]( {hyp})^{2} = ( {base)}^{2} + ( {perp)}^{2} [/tex]

hyp=x , base= 12 , perp= 7

subtitles all values in formula:

we get

x^2 = 12^2 + 7^2

x^2 = 144 +49

x= √193

The missing side of this right triangle is, 13.90 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The base of the triangle = 12

The perpendicular distance of the triangle = 7

Now, We know that;

Pythagoras theorem stated as;

⇒ Hypotenuse² = Base² + Perpendicular²

⇒ x² = 12² + 7²

⇒ x² = 144 + 49

⇒ x² = 193

⇒ x = √193

⇒ x = 13.90

Thus, The missing side of this right triangle is, 13.90 units.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

can someone help me pls?

Answers

Okay so basically the 12 yd is your diameter for the circle,
Since you want the whole perimeter of the circle, which is the shaded area, you will find the circumference (perimeter) of the circle.
Using the equation of:
pi x diameter
and you will find your answer
in this case your answer is 37.699

I need help please
Please hurry

Answers

Answer:

Its 32

Step-by-step explanation:

Solving a word problem on proportions using a unit rate
Alonzo drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 469 miles?

Answers

Answer:

7 hours

Explanation:

Divide 5 and 335 then multiply by 469

because 5 / 339 will be time for one mile and then multiply by 469 will be number of hours for 469 miles

5 / 339 × 469 =7 hours

Find the values of the variables and the lengths of the sides of the kite.​

Answers

Answer: since you didnt answer mine.

Step-by-step explanation:

Which of the following sequences of transformations maps KLMN onto ABCD

Answers

Answer:

The answer is neither.

Step-by-step explanation:

Just did the test on Khan.

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