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
kicyunya [14]
2 years ago
12

Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.)f(x) =

x2 − x − 5 on [0, 5]
Mathematics
1 answer:
lyudmila [28]2 years ago
7 0

Answer:

The absolute minimum value is "-\frac{21}{4}" and the absolute maximum value is "15".

Step-by-step explanation:

Given:

f(x)=x^2-x-5

on,

[0,5]

By differentiating it, we get

⇒ f'(x)=2x-1

Set f'(x)=0

then,

⇒ 2x-1=0

          2x=1

            x=\frac{1}{2} (Critical point)

When x=0,

⇒ f(x)=-5

When x=\frac{1}{2},

⇒ f(x)=-\frac{21}{4} (Absolute minimum)

When x=5

⇒ f(x)=15 (Absolute maximum)

You might be interested in
If a car goes 40 miles per hour, how many minutes will it take for it to go 12 miles
dalvyx [7]

Answer:

18 minutes

Step-by-step explanation:

60/40=1.5

12 x 1.5 = 18

8 0
2 years ago
Read 2 more answers
HELP EASY PROBABLILITY QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ella [17]

Answer:

0.43

Step-by-step explanation:

2+3+1+1=7

7*4+28==Area of full shape

(2*4)+(1*4)=12==Area of shaded shapes

12/28=0.428571>rounded up>0.43

3 0
3 years ago
Read 2 more answers
Ummm Hey,I don't know the answer for this question,when I solve the problem my answer always 6 but the real answer is 2 so I nee
kramer

umm ok then its 2...

4 0
3 years ago
Given the graph below write the equation of the line.
Scrat [10]

Answer:

y = 2x+8

Step-by-Step Explanation:

The equation should be in the form of y=mx+b

So you already know it's not A. Also you already know it's not D because the line goes at an angle, if "m"(slope) was 0 then the line would be straight horizontal or straight vertical. So that leaves B and C. And finally you know it's not B because the line is going in the positive direction not negative, so the slope has to be positive, also "b" in the equation is the y-intercept, and that's where the line intersects with the y-axis, and you can see that the line intersects at 8 on the graph. Therefore, the answer is C, y=2x+8

Hope this helps!! :)

4 0
2 years ago
Read 2 more answers
an eagle flew 20 m above sea level.A fish was 35 m vertically below the eagle. find the position of the fish​
ELEN [110]

Answer:

15m below sea level

Step-by-step explanation:

Given data

Distance of eagle from sea= 20m

Distance of fish from eagle = 35m

Required

The distance of the fish from below the sea level

= 35-20

= 15m

Hence the fish is 15m below sea level

3 0
3 years ago
Other questions:
  • each face of cabinet 413S is in the shape of a rectangle. What is the volume of Model 413S in cubic feet? Dimension are 24 by 72
    14·1 answer
  • melania walked her dogs 2 1/5 miles cathay walked her dog 1 3/4 times as far as Melania how many more miles did Cathay walk her
    15·2 answers
  • Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?
    10·1 answer
  • I need someones help!
    13·1 answer
  • A company has 200 machines. Each machine has 12% probability of not working.
    12·1 answer
  • Consider g(x)=3sin2x a) period of g b) Sketch the curve of g, for 0≤x≤2π -WITHOUT using a graphing calculator
    9·1 answer
  • Help solving this math homework
    11·1 answer
  • A normally distributed error term with mean of zero would Group of answer choices have values that are symmetric about the varia
    14·1 answer
  • Vector has 4 orange picks for every 3 green picks.if 8 of the picks are orange,how many picks are green?
    5·1 answer
  • Please solve question 2
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!