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
bonufazy [111]
3 years ago
7

the power generated by an electrical circuit (in watts) as a function of its current C (in amperes) is modeled by P(c)= -15c(c-8

) What current will produce the maximum power?
Mathematics
2 answers:
katen-ka-za [31]3 years ago
3 0

Answer:

c = 4 A

Step-by-step explanation:

The given function P(c) = - 15 c (c-8) is actually quadratic function:

P(c) = - 15c² + 120c    or parabola

The standard form of a quadratic function is:

y = ax² + bx + c

For which x is the maximum of the parabola we can find with this formula

x = - b/2a

in this case a = -15 and b = 120 and input variable is current c

c = - 120/(2 · (-15)) = - 120/ (-30) = 4 A

c = 4 A

God with you!!!

juin [17]3 years ago
3 0

Answer:

The maximum power is produced at current = 4 A

Step-by-step explanation:

Given:

The power generated by an electrical circuit (in watts) is modeled as a function of current as:

P(c)=-15c(c-8)

To find the current that will produce the maximum power.

Solution:

The function can be simplified using distribution.

P(c)=-15c^2+120c

We know that the power will be maximum at the point where the slope of the equation will be = 0 i.e. parallel to x-axis.

<em>Finding the slope of the function using derivative.</em>

\frac{dP}{dc}=-30c+120

We will equate the slope = 0 to get the current for maximum power.

Thus, we have:

-30c+120=0

Subtracting both sides by 120.

-30c+120-120=0-120

-30c=-120

Dividing both sides by -30.

\frac{-30c}{-30}=\frac{-120}{-30}

∴  c=4

Thus, the maximum power is produced at current = 4 A

You might be interested in
I want the answer please
KatRina [158]

I got 57.63

  1. Divide 38.42 by 18 to find the cost per 1 HCF
  2. Multiply that by 12 to find the cost of 12 HCF
  3. Round to the nearest hundredth (because money can’t go past that)
4 0
2 years ago
Sceenshot please answer it math problem
Inessa05 [86]
To be honest I don’t know but I just looked up diameter and I think the second one pan is right please understand I’m in sixth grade
7 0
2 years ago
One plus a number y is no more than - 13.
kifflom [539]

Answer: 1 + y ≤ -13

Step-by-step explanation:

3 0
2 years ago
The diagram shows a cuboid.
nika2105 [10]
Cuboid has 6 faces. If each face was 2m squared, that would be 2m squared times 6 which is 12m squared
7 0
3 years ago
What is the answer to (3 × 144) × 199​
vlada-n [284]

Answer:

The answer will be 85,968

3 0
2 years ago
Read 2 more answers
Other questions:
  • Does the graph show a proportional relationship? Explain your conclusion in the workspace provided
    8·1 answer
  • How does the graph of f(x)=1/2(3)^x+2-1 relate to its parent function?
    8·1 answer
  • X to the third power = 539
    10·1 answer
  • An insurance agent receives 16% commission on every premium paid. How much commission is paid on a policy with a premium of $497
    8·2 answers
  • Solve the inequality<br> -2(5x + 1) &gt; 48
    7·2 answers
  • Jayden is 14 year old his cousin is three less than twice the age of Jayden how old is his cousin
    10·2 answers
  • In (x + 2) (3x + 1) = 3x^2 + ___ + 2, what should be the value of the middle term to complete the product?
    15·1 answer
  • Choose ASA, SAA, or neither<br> to describe this figure.<br> A<br> B<br> ASA<br> SAA<br> neither
    7·1 answer
  • Jacob wants to buy a $500,000 15-year term life policy, and the annual premium rate (per $1000 of face value) for his age group
    6·1 answer
  • Find the greatest common factor of 7a^4 and 8a³
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!