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
lawyer [7]
3 years ago
8

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 5x + 12), [−3, 1]

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0
A graphing calculator shows the minimum to be located at the vertex of the quadratic, x = -2.5, and the maximum to be located at the right end of the interval.

The absolute maximum value of f(x) is ln(18) ≈ 2.89037.
The absolute minimum value of f(x) is ln(5.75) ≈ 1.74920.

You might be interested in
I need help finding the area
Kitty [74]
Make drawing (see attachment)
do big rectangle minus triangle

big rectangle area=lenght timess width=22 times 33=726 square feet
triangle=1/2 times base times height=1/2 times 9 times 10=45 square feet

rectangle-triangle=726-45=681 square feet

4 0
3 years ago
PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! Explain how to use estimation to help find the product of two decimals. Give an example
san4es73 [151]
You can use estimation to find the product of two decimals by rounding both the decimal’s so the nearest tenth or tens place (depending on how long it is) and then multiplying the decimals.

for example, if you had 4.6 and 8.9, you have to round the 4.6 and 8.9. you round the 4.6 up to 5 because the 6 bumps the 4 up to 5) and then round 8.9 to 9 (because the 9 bumps the 8 up to 8.) then, multiply 5 and 9 and you get 45!
6 0
2 years ago
Read 2 more answers
Vhat is the ninth term of the geometric sequence 3,9, 27, ... ?
ExtremeBDS [4]
I think 36 but not sure
3 0
2 years ago
People are entering a building at a rate modeled by f (t) people per hour and exiting the building at a rate modeled by g (t) pe
erastova [34]

Answer:

The correct option is D) f'(t)-g'(t) > 0

Step-by-step explanation:

Consider the provided information.

People are entering a building at a rate modeled by f (t) people per hour and exiting the building at a rate modeled by g (t) people per hour,

The change of number of people in building is:

h(x)=f(t)-g(t)

Where f(t) is people entering in building and g(t) is exiting from the building.

It is given that "The functions f and g are non negative and differentiable for all times t."

We need to find the the rate of change of the number of people in the building.

Differentiate the above function with respect to time:

h'(x)=\frac{d}{dt}[f(t)-g(t)]

h'(x)=f'(t)-g'(t)

It is given that the rate of change of the number of people in the building is increasing at time t.

That means h'(x)>0

Therefore, f'(t)-g'(t)>0

Hence, the correct option is D) f'(t)-g'(t) > 0

4 0
3 years ago
How did physical geography assist General Grant in the siege of Vicksburg?
eimsori [14]

Explanation:

Abraham Lincoln recognized the importance of the city on a 200-foot bluff just above Colorado river. He said, "Vicksburg is the best approach, the war could never be decided to bring to a close until another key is in our wallet." trying to capture Vicksburg would break the Trans-Mississippi confederate states from the east of the Mississippi as well as open the waterway to northern congestion along its total duration.

7 0
3 years ago
Other questions:
  • Lauren and Bruce's bread recipe calls for 6 cups sifted flour .how much flour with they use if they make only 2/3 of the recipe?
    6·2 answers
  • Which number line shows the correct placement of 25%,14 1 4 , and 12 1 2 ?
    7·1 answer
  • What is x + y = 12 if x = 2y
    10·2 answers
  • Rosa wants 2 pairs of jeans that cost $32 each .she has a coupon for $10 off the price of one pair .what price will rosa pay for
    14·1 answer
  • 35 hundreds = 5 tens times 7 tens is it true or false
    11·1 answer
  • . En el triángulo ABC, la medida del ángulo exterior en el vértice B es el triple de la medida del ángulo C y la mediatriz de BC
    7·1 answer
  • Find the intersection of H and G find the union of H and G
    5·1 answer
  • Simplify.<br> x^3 divided by x^5
    7·1 answer
  • Simplify the expression.<br><br> 5(x-1)
    6·1 answer
  • Determine whether Point A lies on the circle whose center is Point C and whichcontains the Point P. Justify your answer mathemat
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!