All categories

4 years ago

Find an equation of the tangent line to the graph of the equation ln x xey = 1 at the point (1, 0).

1 answer:

6 0

Ln x + xe^y = 1
1/x + xf'(x)e^y + e^y = 0
f'(x) = (-e^y - 1/x)/xe^y
f'(1, 0) = (-e^0 - 1/1)/e^0 = (-1 - 1)/1 = -2

Let the required equation of tangent be y = mx + c, where y = 0, m = -2, x = 1
0 = -2(1) + c = -2 + c
c = 2
Therefore, required equation is y = -2x + 2

You might be interested in

Please help will mark brainliest

Nuetrik [128]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which of the following numbers is divisible by 3, 5, and 10? OA) 15 B) 20 OC) 25 OD) 30

Sindrei [870]

Answer:

30 is the correct answer because 3times 10 =30 5 times 6 is 30 and 10 times3 is also 30

7 0

3 years ago

How is 617.88 reasonable

Lera25 [3.4K]

In not so complicated math problems, a rough estimate or mentally-calculated estimate, sometimes referred to as a "ballpark estimate," helps to predict the numerical range the final answer should fall within. For example, if the given problem is to determine the sum of 23 plus 76, it can be estimated that the final and precise answer will be somewhere close to 100 because the known calculation 25 plus 75 equals 100 is close to the given problem 23 plus 76.

7 0

3 years ago

Solve for x 9x= 1/2(20x-8)

LenKa [72]

Answer:

Step-by-step explanation:

9x=10x-4

x=4

3 0

3 years ago

Read 2 more answers

ALGEBRA 1 HELP!! Andrea buys 4 bags of granola and 3 bags of dried fruit. She spends $51.50. Carter buys 2 bags of granola and 4

timurjin [86]

Answer:

Granola is $6.95/bag and Dried Fruit is $7.90/bag.

Step-by-step explanation:

Let G and F stand for the cost of 1 bag Granola and 1 bag dried Fruit.

We learn that Andrea's total was $51.50. Her purchase can be written as the sum of the cost of 4 bags granola (4G) and 3 bags fruit (3F):

4G + 3F = $51.50

We can do the same for Carter:

2G + 4F = $45.50

We have two equations and two unknowns, so we should be able to solve for both unknowns. To do this, we need to find a way to eliminate one of the unknows in a single equation. Let's rearrange Carter's equation to isolate G on one side:

2G + 4F = $45.50

2G = $45.50 - 4F

G = ($45.50 - 4F)/2

Now use this expression for G in Andrea's equation:

4G + 3F = $51.50

4(($45.50 - 4F)/2) + 3F = $51.50

2($45.50 - 4F) + 3F = $51.50

($91.00 - 8F) + 3F = $51.50

-5F = - $39.5

F = $7.90 One bag of dried fruit is $7.90.

Now use this value for F in either equation for find G:

2G = $45.50 - 4F

2G = $45.50 - 4($7.90)

2G = $13.90

G = $6.95 One bag of granola is $6.95

---------------

Check to see if these values work:

Andrea:

4G + 3F = $51.50 :

4($6.95) + 3($7.90) = $51.50 ?

$51.50 = $51.50 YES

Carter:

2G + 4F = $45.50

2($6.95) + 4($7.90) = $45.50 ?

$45.50 = $45.50 YES

4 0

3 years ago