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
cluponka [151]
3 years ago
15

Coughing forces the trachea (windpipe) to contract, which in turn affects the velocity of the air through the trachea. The veloc

ity of the air during coughing can be modeled by v = k(R – r)r2, 0 ≤ r < R, where k is a constant, R is the normal radius of the trachea, and r is the radius during coughing. What radius r will produce the maximum air velocity?
Mathematics
1 answer:
Rzqust [24]3 years ago
8 0
To find the maximum velocity you have to differentiate the function respect to r.

v = k(R - r)r^2 = kRr^2 - krr^2 = kRr^2 - kr^3

k and R are constants.

=> v' = 2kRr - 3kr^2 = kr(2R - 3r)

maximum velocity => v' = 0 => kr(2R - 3r) = 0

r = 0 or 2R - 3r = 0 => r = 2R / 3

Answer: r = 2R / 3




You might be interested in
-3/10b=2/5 what is b in this equation
forsale [732]
X = -4/3
Hope this helps ,
Give thanks !
3 0
3 years ago
Read 2 more answers
Manny, Rachelle, and Peg race each other in carts. There are no other racers, and exactly one racer wins each race (no ties allo
Brums [2.3K]

Answer:

1 out of every 3 races could be won by Rachelle

Step-by-step explanation:

3 0
3 years ago
Definicion del concepto de numero
NNADVOKAT [17]

Answer:

1.

Mathematical concept that expresses an amount in relation to the computer unit; results from counting the elements that make up a set.

"Cardinal number"

2.

A graphic sign or set of graphic signs that expresses or represents that amount.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Solve for k 5/8(3k+1)-1/4(7k+2)=1
lesya [120]

Answer:

<h2>k = 7</h2>

Step-by-step explanation:

\dfrac{5}{8}(3k+1)-\dfrac{1}{4}(7k+2)=1\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{5}{8\!\!\!\!\diagup_1}(3k+1)-8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}(7k+2)=8\cdot1\\\\5(3k+1)-2(7k+2)=8\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(5)(3k)+(5)(1)+(-2)(7k)+(-2)(2)=8\\\\15k+5-14k-4=8\qquad\text{combine like terms}\\\\(15k-14k)+(5-4)=8\\\\k+1=8\qquad\text{subtract 1 from both sides}\\\\k=7

3 0
3 years ago
cheryl wants to buy a bicycle that costs 160$. if she saves 12$ each week, what is the fewest number of weeks she must save in o
Serjik [45]

please show the answer choices

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the real part of the complex number -3+9i
    14·1 answer
  • A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represen
    5·1 answer
  • What is the value of the expression below when w =7 and x = 2?<br> 3w – 4x
    6·2 answers
  • Which equation describes a line of symmetry for the figure shown? x = 0 y=−x y = x y = 0
    8·1 answer
  • Steve wants to use his 18% employee discount to buy a video game that has a regular price of $69.99. A 6.5% sales tax is applied
    13·1 answer
  • Determine if the equations are parallel perpendicular or neither 10x-2y=16 and x+5y=-20
    15·1 answer
  • Solve the equation. 2(5c – 7) = 1
    13·1 answer
  • Simplify √5(10-4√2)<br><br> A.14<br> B.15√2<br> C.5√2-4√10<br> D.NONE OF THE ABOVE
    15·2 answers
  • If you needed to buy at least 5 water bottles AND at least 8 water bottles, how many water bottles would you need to by?
    13·2 answers
  • List all the 3-digit odd numbers that can be created by rearranging these number tiles.<br> 7 3 4
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!