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
andreyandreev [35.5K]
3 years ago
5

If f(1) = 13 and f '(x) ≥ 3 for 1 ≤ x ≤ 3, how small can f(3) possibly be?

Mathematics
1 answer:
tangare [24]3 years ago
6 0

Answer:

The answer to this question is 19.

Step-by-step explanation:

Given that :

f(x)=13.

f'(x)=3.   1 ≤ x ≤ 3.

Integrate

∫f'(x) dx=∫3 dx

f(x)=3x+c        1 ≤ x ≤ 3.

f(1)= 3+c  

c=13-3 =10.

f(x)=3x+10  1 ≤ x ≤ 3.

now ,

f(3)=3(3)+10=19.

So f(3) is at least 19.

You might be interested in
A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then ret
Vitek1552 [10]

Answer:

20

Step-by-step explanation:

6 0
2 years ago
The ratio of the number of peas Julia had to the number of peas Vlada had was 3:2. After Julia gave Vlada 15 peas, she still had
inn [45]
J:V = 3:2

3:2 x 40 = 120:80

J: 120-15 = 105
V:  80+15 = 95

J:V is now 105:95

The original amount of peas that Julia had at first was 120.
3 0
3 years ago
Read 2 more answers
A bag contains 63 marbles, some red and some green. The ratio of red marbles to green
Nikolay [14]

Answer:

45 green marbles

Step-by-step explanation:

6 0
2 years ago
Kedar earns a monthly salary of $2,200 plus a 3.75% commission on the amount of his sales at a men's clothing store. What would
fenix001 [56]
 4,500 x 3.75% = 168.75


2,200 + 168.75 = He would earn $2,368.75 this month


Wish I had this job XD
4 0
3 years ago
What is the C in C + 11 = 44?
vodka [1.7K]
44-11=33
33+11=44
The answer is 33
5 0
3 years ago
Other questions:
  • In an isolated environment, a disease spreads at a rate proportional to the product of the infected and non-infected populations
    14·1 answer
  • Someone pls help! <br> write the expression in radical form. 2 4/5
    6·1 answer
  • Use a ratio to compare the values. Simplify the ratio<br>5m to 100cm
    5·1 answer
  • Name any outliers in the data 277,448,279,334,132,599,237,251,183, and 191
    14·1 answer
  • Will give branist 12 times 12 times 12
    5·2 answers
  • Mike has a stack of 10 cards numbered from 1 to 10. He randomly chooses a card and without replacing the first card drawn, rando
    6·1 answer
  • Can someone help PLSSS
    13·1 answer
  • Please help, this is a chapter on Derivatives.
    13·2 answers
  • If the shorter rectangle is 1 unit long, how many units long is the longer rectangle?
    15·2 answers
  • In the drawing below, what choice shows the corresponding sides as equal ratios?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!