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
Virty [35]
3 years ago
8

For what values of the numbers a and b does the function below have maximum value f(1) = 4? (Round the answers to three decimal

places.). f(x) = axe^[b(x^2)].
Mathematics
1 answer:
Georgia [21]3 years ago
4 0
F (x) = a x  e^{b x^{2} }
f ` (x) = a( e^{b x^{2} } +x e ^{b x^{2} } *2 b x )=a e ^{b x^{2} } (1+2b x^{2} )
f ( 1 ) = 4
f ` ( 1 ) = 0
4 = a e ^{b}  \\ a e ^{b} (1 + 2 b ) = 0 \\ 4 ( 1 + 2 b )= 0

b = -1/2
4=a e ^{-1/2} =  \frac{a}{ \sqrt{e} }  \\ a = 4 \sqrt{e}
Answer:  a = 4√e, b = -1/2

You might be interested in
How can I improve my math? How can I get better grades and scores in competitions like AMC 8, 10, 12, and MATHCOUNTS? I get low
frez [133]

Answer:

1. You r not dumb or stupid ur just having a hard time

2.u could get a tutor or someone who can help u understand differnet things and improve your grade

3.You could pratice/study more

4.Ask your teacher for help if u don't understand something

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The length of a rectangle is four times its width. If the area of the rectangle is 100 ft?, find its perimeter
Sphinxa [80]

Answer:

P = 50 ft

Step-by-step explanation:

A = L*W

If

L = 4W

then

100 = 4W*W

100 = 4W^2

W^2 = 100/4

W^2 = 25

W = 5 ft

Then

L= 4(5)

L= 20 ft

P = 2L + 2W

Then

P = 2(20) + 2(5)

P = 40 + 10

P = 50 ft

Best regards

4 0
3 years ago
Found to the nearest tenth 2.26795
Flura [38]

Answer: 2.3

Step-by-step explanation:

4 0
1 year ago
Choose all expressions that have a sum or difference of 3/4
mafiozo [28]

Answer:

B

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

3 0
3 years ago
The sum of the digits of a 5 digit positive integer =2 how many five digits integers exist?
yaroslaw [1]
Answer- 90000/2=45000

5 0
3 years ago
Other questions:
  • Perform the necessary operations -9-(-6)+(-4)=
    7·1 answer
  • Draw the translation of LM along the vector (4, -5)
    15·1 answer
  • Pamela deposited $30 in a savings account earning 5% interest, compounded annually.
    12·1 answer
  • Find all the points at which the direction of fastest change of the function f(x, y) = x2 + y2 − 4x − 2y is i + j.
    14·1 answer
  • What do you think could reduce the difference? That's the question...Please help me I've been stuck here for hours!
    9·1 answer
  • Find the radius of the circle with a diameter of 3 yards.<br> radius:<br> yd
    11·1 answer
  • I'm having a hard time completing Task 2 of d. and e. <br> Please answer them.
    9·1 answer
  • Select the correct comparison<br><br> Pls help
    6·2 answers
  • If line r is parallel to —- ?
    15·1 answer
  • MONEY Sadie has $22.75 in her school lunch account. If she wants the money to last for this 5-day week of school, determine the
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!