: 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

Please help me find the surface area!

Answers

Answer: question 9 COULD be 240 and 12. might be 2880

Step-by-step explanation:

What is the value of 6 in the number 762

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Hi,

Since the 6 is in the tenths place, it's a 60.

I hope this helps :)

K
Given that m_JKL = 94º, m_KL) = 41°, and the radius of the circle is 10 units, find s, rounded to the nearest hundredth.
units
S=
Reset
Next
tum. All rights reserved.
1

Answers

Step-by-step explanation:

angle j + angle JKL + angle KLJ = 180(sum of angles in a triangle)

[tex]j + 94 + 41 = 180 \\ j + 135 = 180 \\ j = 180 - 135 \\ = 45[/tex]

Arc Length s =

given r = 10 units,

[tex] = (\frac{j}{360} ) \times 2\pi \: r \\ = ( \frac{45}{360} ) \times 2\pi(10) \\ = 0.125 \times 20\pi \\ = 2.5\pi \\ = 7.85units(nearest \: hundredth)[/tex]

Answer:

7.85 units

Hope this helped and have a good day :D

A dealer buys articles for R7500 and makes the price 30% higher.
What is the selling price of the articles?​

Answers

Answer:

9750

Step-by-step explanation:

profit amount = 30% of R 7500

= 30/100 *R 7500

= 2250

now

sp = R 7500 + R 2250

= R 9750

Paige only needs to sell to 17 more customers to receive a bonus. She works part time, so she only talks to 50 customers per day. With a sales ratio of 1:9, on which day will Paige qualify for a bonus?

Answers

Answer:

Paige will qualify for a bonus on her 4th day of work.

Step-by-step explanation:

50 customers per day

needs to sell to 17

Ratio = 1:9

      1:9

×17         ×17

    17:153

Paige needs to see 153 customers.

153 ÷ 50 = 3.06 ≈ 4   (As the answer is not asking for the exact number of the day you round up to make a whole day without underestimating)

So, Paige will qualify for a bonus on her 4th day of work.

Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married.
Choose the best description.
a. All U.S. adults
b. The 1,501 U.S. adults referred to in this problem
c. The 1,126 U.S. adults referred to in this problem
d. All U.S. adults who believe it is more enjoyable to be married than single

Answers

Answer:

D. all U.S adults who believe it is more enjoyable to be married than single

Step-by-step explanation:

Sana nakatulong

a clothing manufacturer makes coats, shirts and slacks. The time required for The Cutting, sewing, and packaging on each item is shown in the table. How many of each should be made to use all available labor hours?​

Answers

9514 1404 393

Answer:

  120 coats, 200 shirts, 180 slacks

Step-by-step explanation:

If we let c, s, p represent quantities of coats, shirts, pants, respectively, then the total number of minutes required for cutting, sewing, and packaging can be expressed by ...

  20c +15s +10p = 7200

  60c +30s +24p = 17520

  5c +12s +6p = 4080

These equations can be written in "augmented matrix" form and submitted to your friendly local matrix solver (online or on your calculator). You would ask for "reduced row-echelon form". The calculator function that accomplishes this is often called RREF. The matrix and result are ...

  [tex]\left[\begin{array}{ccc|c}20&15&10&7200\\60&30&24&17520\\5&12&6&4080\end{array}\right]\rightarrow \left[\begin{array}{ccc|c}1&0&0&120\\0&1&0&200\\0&0&1&180\end{array}\right][/tex]

This means production should be of ...

  120 coats, 200 shirts, 180 slacks

shin godzilla vs zilla​

Answers

Answer:

I'd say zilla

Step-by-step explanation:

shin Godzilla would win because here is one scenario Zilla jumps on his back biting him then Shin Godzilla shoots his back beams killing him. plus Zilla shots only fire not any of the radiation things

The blue segment below is a radius of oo. What is the length of the diameter of the circle?

Answers

Answer:

Diameter = 25.4 units

Step-by-step explanation:

radius = 12.7

Diameter = 2 × radius

= 2 × 12.7

= 25.4 units

D

Step:
Length of diameter = 2* radius = 2*12.7= 25.4

I will give BRAINLIST Solve the quadratic function by factoring.

2x^2+7x-4=0


Someone please help I will give BRAINLIST please show work I need this for my test

Answers

(2x+1)(x-4)=0
x-4=0
2x+1=0
X= -1/2 , 4

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2​

Answers

Y = 4x*e^(-x) , y=0, x=3 , rotation about y-axis
Graph or sketch the function.
The volumeelement is a cylinder with radius x height y and thickness dx.
Integrate from x=0 to x=3
V = 2 π ∫x*y dx =
2 π ∫x*4x*e^(-x) dx
8 π ∫x²*e^(-x) dx ,
Integrate by part: ∫e^(-x)*x² dx , let u’ = e^(-x) => u = -e^(-x) and v = x² => v’ = 2x
∫e^(-x)*x² dx = -e^(-x)*x² + ∫e^(-x)*2x dx
Integrate by part: ∫e^(-x)*2x dx = -e^(-x)*2x + ∫e^(-x)*2 dx
∫2e^(-x) dx = -2e^(-x).
If we wrap up the above we get :
V = 8 π*[-e^(-x)*(x²+2x+2)]
V = 8 π*[e⁻³(9+6+2) – (-e⁰ *2)]
V = 8 π*[17*e⁻³+ 2] = 28.99363 v.u.

student were asked to choose their favorite subject if 4/8 of the student chose history and 3/8 chose biology what fraction chose either history or biology

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours. Find the probability of a bulb lasting for at most 605 hours. Round your answer to four decimal places.

Answers

Answer:

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.

This means that [tex]\sigma = 15, \mu = 590[/tex]

Find the probability of a bulb lasting for at most 605 hours.

This is the pvalue of Z when X = 605. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{605 - 590}{15}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)? 3 6 112 121

Answers

Answer:

121

Step-by-step explanation:121 ! just got it right.

Answer:

D)

Step-by-step explanation:

on edge

Select the measures that are equal. Select all that apply.pls help me i beg you

Answers

D, B, and F are equal

Solve.
b + 2/9 = 1 3/5

Answers

Exact form
B=107/45
Decimal form
B=2.36
Mixed number form
B=2:17/45

_____ ÷ r × r = p
be fast :) easy point for who ever get it

Answers

Answer:

p

Step-by-step explanation:

lol question unclear

Answer:

p

Step-by-step explanation:

if you divide a number by a number and then multiply that same number by that number it is 1. so it is just __=p

Hope that helps :)


How much money would you have to invest at 9% compounded semiannually so that the total investment has a value of $2,090 after one year?

Answers

Answer:

Im just doing this for points .,.

Step-by-step explanation:

graphing sucks
ugh. but anyway does anybody know how to graph using only an equation? please explain thoroughly. PLEASE SAVE MY LIFE!​

Answers

- you can substitue x and y for 1, or 0 and graph each point

- use desmos and copy it

- depending on the type of equation find the x-intercept, y-intercept, vertex and then draw a line between them

BEEN ASKING FIR AN HOUR: A rectangle's length is 3 feet shorter than 4 times the width. If we use w to represent the rectangle's width, use a polynomial to represent the rectangle's area in expanded form.​

Answers

Answer:

Step-by-step explanation:

w is the width of the rectangle, then the length would be 4w - 3.

A = lw

A = w(4w -3)

A =4w² - 3w

Hope this helped!!!

During trimester 2 the math team gave 4 product assignments. The 4 scores were a 50, 90, 62, and 63.
What was the median score of the product assignments?
What was the average score of the product assignments?

Answers

Answer:

median = 62.5, average = 66.25

Step-by-step explanation:

50, 90 , 62 and 63

median = 50 , 62, 63, 90

62 + 63 / 2

125/2

median = 62.5

average = 50 + 90 + 62 + 63 /4

=265/4

average = 66.25

Question 4
Which expression represents f-(x) if f(x) = 11 – 10x ?

Answers

Answer:

hhuhhuhhhuhh

Step-by-step explanation:

Please help me out with this question

Answers

Answer:

43200

Step-by-step explanation:

2(60*80)

2(80*120)

2(60*120)

add that up

Answer:

43,200

Step-by-step explanation:

I used a surface area calculator, but the formula it gives is

A (2wl+hl+hw), w is width, h is height and l is length. Hope this helps!

Help please (50 point) sorry hhh

Answers

Answer:

7.5

Step-by-step explanation:

The actual fraction is 15/2, which is equivlent to 7.5

Im pretty sure its infinite solutions

solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x

Answers

Answer:

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:x=π/6,11π/6

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Problem of the week, provide step-by-step please!

Answers

Answer:

Step-by-step explanation:

The smallest perfect square that has three different prime numbers as factor is 900

900 = 30 * 30

Factors = 2² * 3² * 5² = 900

Help. I have no idea what to do

Answers

Answer: The answer is to ask your parents because something is definitely wrong with your teacher to give such a hard sun to solve like that.

Step-by-step explanation:  sorry man that hard.

A lab orders a number of chemicals from the same supplier every 10 days. The lead time is six days. The manager of the lab must determine how much of one of these chemicals to order. Check of stock reviewed that 9 25-milliliter (ml) jars are on hand. Daily usage of the chemical is appropriately normal with a mean of 16 ml per day and a standard deviation of 3.5 ml per day. The desired service level for this chemical is 95%. a) How many jars of the chemical should he ordered

Answers

Answer:

3 jars of the chemical should be ordered

Step-by-step explanation:

Given the data in the question;

Ol = 10 days

d = 16 ml

z = 1.65 at 95% service level

σ = 3.5 ml

Check of stock reviewed that 9 of 25-milliliter (ml) jars are on hand

so inventory in position = 9 × 25 = 225 ml        

now,

since this is a fixed-order-internal system;

first we determine our Target inventory

Target inventory = 16 × ( 10 + 6) + 1.65√( 10 + 6 ) × 3.5

Target inventory = 265 + 23.1  

Target inventory = 288.1

so  

Amount to order = Target inventory - inventory in position

Amount to order = 288.1 - 225  = 63.1 ml

∴ number of jars to order will be;

⇒ 63.1  ml/ 25 ml = 2.5  { approximately 3 jars }

Therefore, 3 jars of the chemical should be ordered

can anyone answer these? it would be appreciated:)

Answers

Answer:

Step-by-step explanation:

Need help please and thank you

Answers

Answer:

B is your answer

Step-by-step explanation:

there is none but GOOD LUCK

Other Questions
1. In the blanks below, mark the following statements as either TRUE (T) or FALSE (F). Capitalized cost refers to the present value of infinite service. 1, 2. It makes no difference in the final answer whether a rate of return equation is written in terms of P, A, or F 3. Public sector projects usually use lower interest rates than private sector projects. 4. Rate of return is defined as the rate of interest paid on the principal of a loan or investment. PW comparison is only one life cycle of each alternative. 5. 6. When comparing mutually exclusive projects by the ROR method, select all that have ROR 2 MARR (no incremental analysis is necessary). 7. The primary purpose of public sector is to provide services and profits for the private sector. B/C method used in public sector project evaluation B. 9. Engineers must maintain integrity and impartiality and always adhere to Code of Ethics. 10. Assets such lands are not depreciable. the visible, objective context of a communication is known as: a. latent content b. manifest content c. concept d. validity Find the equation for the tangent plane and the normal line at the point Po(3,1,2) on the surface 2x2 + 4y2 +z2 = 26.Using a coefficient of 3 for x, the equation for the tangent plane is _______Find the equations for the normal line. Let x = 3 + 12t. x= __ . y=__, z=__ short-term predictions of earthquake behavior group of answer choices have saved millions of lives in the past decade alone. have been largely unreliable. are primarily based on the behavior patterns of farm animals. are correct approximately 50% of the time. According to Womens Day magazine (Jan. 2007), 50% of married women would marry their current husbands again if given the chance. Consider the number x in a random sample of 12 married women who would marry their husbands again. Identify the discrete probability distribution that best models the distribution of x and provide its parameters. (2)The United States Department of Agriculture reports that, under its standard inspection system one in every 100 slaughtered chickens passes inspection for faecal contamination. Find the probability that, in a random sample of 6 slaughtered chickens, at least one passes inspection for faecal inspection. (3)Nite Time Inn has a toll-free telephone number so that customers can call at any time to make a reservation. A typical call takes about 4 minutes to complete, and the time required follows an exponential distribution. Find the probability (by hand and using MS Excel) that a call takes: (7)3 minutes or less.exceed 5 minutes.Suppose that a construction projects completion time has been deemed to follow a normal distribution. Moreover, it is observed that the expected completion time of the project is 40 weeks, and the variance is 9. (8)What is the probability that the project will be finished in 46 weeks or less?What is the probability that the project will take longer than 46 weeks?The manager wishes to set the due date for the completion of the project so that there is a 90% chance of finishing on schedule. What should this due date be (in terms of weeks)? Complete the following by calculating the cash discount and net amount paid: (If more than one discount, assume date of last discount.) Date of Gross amount of invoice (freight charge already included Question 5 Which of the following preference doesn't satisfy monotonicity? O Quasilinear preference O Perfect substitutes preference Bads O Cobb-Douglas Preference Concept 9: Injective and Surjective Linear Transformations 2a Define f : P, + R3 by f(ax+bx+c) = b b (a) Determine whether f is an injective ( to 1) linear transformation. You may use any logical and correct method. a (b) Determine whether f is a surjective (onto) linear transformation. You may use any logical and correct method. A random sample of 87 college students contains 12 who are left-handed (data collected by Jacquelyn Schwartz, 2011). (a) Calculate a 90% confidence interval estimate of the proportion of all college students who are left handed. (b) It is commonly believed that about 10% of the population is left-handed. Based on this confidence interval, does this belief appear to be reasonable? What makes phospholipids good at forming cellular membranes? an online company hired you as a project manager. youquickly realize that they donot have a change management system. Toestablish a new management system how would you approach it. please You wish to adapt the AA method to measure the amount of iron in leaf tissues. The minimum amount of iron in the tissues is expeted to be about 0.0025% by mass. The minimum concentration for AA measurements is 0.30 ppm. Your plan is to weigh out 4.0g leaf tissue samples, digest them in acid, filter and dilute them to 50mL. This solution is your "sample stock solution". You will then pipet a portion of this solution into a 25-mL volumetric flask and dilute to volume. This solution is your "diluted sample solution" and you will make your AA measurements on this solution. The question is, how much of the sample stock solution should you use if the dilute sample solution needs to have a concentration of 0.20 ppm?a) How many milligrams of Fe are in 4.0g of a leaf tissue that is 0.0025% Fe by mass? *Remember, 0.0025% by mass = 0.0025g Fe in 100g of sampleb) If all of the iron from the 4.0g leaf sample in the previous question is diluted in a 50 mL flask, what is the concentration of the resulting stock solution (in ppm)?c) What volume of the stock solution made in the previous question is needed to prepare 25.0 mL of a dilute sample solution with a concentration of 0.30 ppm Fe? in the preliminary investigation report, the ____ section contains the results of the preliminary investigation, including a description of the projects scope, constraints, and feasibility. Business Cycles End of Chapter Problem a. Seasonally adjusted data are data adjusted for some seasons but not others. data adjusted for the weather. data stripped of predictable seasonal patterns. data from one season modified to represent another season. A hospital was concerned about reducing as wat time. Alpered wat time goal of 25 minutes was set for implementing an improvement framework and process, sample of 380 patents showed the mean wat time was 23.19 minutes with a standard deviation of 16.37 minutes Complete parts and below a. If you test the full hypothesis at the 0.05 level of significance, is there evidence that the population mean wat time is less than 25 minutes? State the null and wernative hypotheses OA H, 25 26 OCH #25 H>25 H consumption of certain low fat food that contains high amount of sugar can lead to increased fat deposition in the body. why? mike is a cpa and earns $200,000 from his cpa practice in 2022. he also received $45,000 in dividend income. in addition, he incurred a loss of $45,000 from an investment in a passive activity acquired three years ago. what is mike's agi for 2022 after considering the $50,000 loss in the passive activity?$195,000$245,000$200,000$150,000 The tread lives of the Super Titan radial tires under normal driving conditions are normally distributed with a mean of 40,000 mi and a standard deviation of 3000 mi. (Round your answers to four decimal places.)a) What is the probability that a tire selected at random will have a tread life of more than 35,800 mi?b) Determine the probability that four tires selected at random still have useful tread lives after 35,800 mi of driving. (Assume that the tread lives of the tires are independent of each other.) The government decides to increase its spending by $3 billion. Over time the real GDP increased by $12 billion. The expenditure multiplier is ________ 3.5.-lower than-equal to-higher than Question #1 (40 Marks) ABC Company manufactures chairs for the retail market. The December budgeted amounts were to manufacture 28,000 chairs, at a variable cost of $60 per chair. The budgeted total f