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
babymother [125]
2 years ago
13

At what point of the curve y = cosh(x does the tangent have slope 2?

Mathematics
1 answer:
Dahasolnce [82]2 years ago
5 0
The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444

Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
You might be interested in
Please help me. thanks.
Rama09 [41]

~~~\text{Area of triangle} = \dfrac 12 \times \text{Base} \times \text{Height}\\\\\implies 10 = \dfrac 12 \times 5 \times w\\\\\implies w =\dfrac{20}5 \\\\\implies w = 4 ~cm

8 0
2 years ago
Read 2 more answers
Please help!!! 20 points + brainliest!!<br> 6 + (-47) =
poizon [28]

Well, all we have to do is add, so:

6 + (-47) =

6 - 47 =

-41

5 0
2 years ago
Read 2 more answers
I will give brainlist and the go to together not to questions
Rom4ik [11]
Dammmmmmmmmm 3
The ueaa i think
7 0
2 years ago
A bank account starts off with 2000 dollars in it and each week 100 dollars are added​
wariber [46]

Answer:

= 2100 is your answer

4 0
2 years ago
Read 2 more answers
If B is the midpoint of AC, which of the following equations is correct?
Alecsey [184]

Answer:

BA + BC = AC

Step-by-step explanation:

B is the midpoint of AC

Then

BA = AC/2 and BC = AC/2

Then

BA + BC = AC/2 + AC/2 = AC

4 0
2 years ago
Other questions:
  • Complete the bar models for the steps yo do to solve the problem. Max has 35 trading cards. He buys 22 more cards. Then he gives
    10·1 answer
  • Which is a good comparison of the estimated sum and the actual sum of 7 7\8 + 2 11\12
    15·2 answers
  • What is the volume (in cubic units) of a sphere with a radius of 18 units? Assume that π = 3.14 and round your answer to the nea
    14·1 answer
  • In a survey 3/4 of 400 parents said yes, they give their children fruit snack. How many answered yes to the survey?
    8·1 answer
  • Shelly has a beaker that contains 5 and two-thirds fluid ounces of water. She pours out 3 and one-third fluid ounces of water. W
    8·2 answers
  • Slope of the line shown below
    7·1 answer
  • Use the graph to determine the domain and range of the relation, and state whether the relation is a function.​
    11·1 answer
  • Choose the rule to describe the transformation:
    10·1 answer
  • What is the perimeter 2x+3 as length and x-6 as width
    13·2 answers
  • A jewelry store is featuring a diamond in the shape of a square pyramid. The side length of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!