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
lina2011 [118]
3 years ago
6

A function f is described by f(x)=A*exp(kx)+B, where A, B and k are constants. Given f(0)=1, f(1)=2, and that the horizontal asy

mptote of f is -4, the value of k is
Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

Answer:

k = ln (6/5)

Step-by-step explanation:

for

f(x)=A*exp(kx)+B

since f(0)=1, f(1)=2

f(0)= A*exp(k*0)+B = A+B = 1

f(1) = A*exp(k*1)+B =  A*e^k + B = 2

assuming k>0 , the horizontal asymptote H of f(x) is

H= limit f(x) , when x→ (-∞)

when x→ (-∞) , limit f(x) =  limit (A*exp(kx)+B) = A* limit [exp(kx)]+B* limit = A*0 + B = B

since

H= B = (-4)

then

A+B = 1 → A=1-B = 1 -(-4) = 5

then

A*e^k + B = 2

5*e^k + (-4) = 2

k = ln (6/5)    ,

then our assumption is right and k = ln (6/5)  

You might be interested in
Is 10 greater than, less than, or equal to 5?
pychu [463]

Answer: it’s less 5<10

Step-by-step explanation:

5 0
2 years ago
Help! NO LINKS!!!<br> I need an answer so if anyone can help,please do!
Ierofanga [76]
It’s A !! I’m 100% sure
6 0
3 years ago
The probability that a randomly selected 40-year-old female will live to be 41 years old is 0.99855 according to the National Vi
Vitek1552 [10]
0,99855x0,99855=0,997102102
3 0
3 years ago
Rachel has a bag of marbles. She added 6 marbles to the bag but then took out 8 marbles. The bag now has 14 marbles. How many ma
Anna35 [415]

Answer:

to my knowledge of this it is 28

Step-by-step explanation:

because just pay attention to the math in it she ended up with 14 in the end so add 14 and the 6 she added in the beginning and then you get 20 so then you add the 20 marbles and the 8 marbles she took out so you end up with 28 total marbles i hope this helps

6 0
3 years ago
Eli ran 3/4 of a mile. Every 1/8 of a mile, he jumped over a hurdle. There was a final hurdle at the 3/4 mile park. How many hur
agasfer [191]
Divide 3/4 by 1/8 and you should get 6 hurdles.
5 0
3 years ago
Other questions:
  • Dialiting a triangle changes the angles and side length of the triangle true or false
    13·1 answer
  • What's (6x+8)(5x-1)<br> Can you help me solve it please
    11·1 answer
  • Chris needs $858 to buy a computer. She has already saved $575. She gets $15 an hour for babysitting and will babysit 12 hours i
    14·1 answer
  • A regular hexagon is inscribed in a circle as shown determine the measure of FE
    10·2 answers
  • A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is?
    5·1 answer
  • Uh i need help with those 3, will give brainliest, thanks!
    6·1 answer
  • Pls help with these math questions. Don't just do it for points pls I really need help . 3 questions Multiple choice
    7·1 answer
  • What’s the answer to this question???????
    15·1 answer
  • I need to know the slope intercept form for this question
    10·1 answer
  • Solve for x. enter you answer below as a fraction ​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!