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
Simora [160]
3 years ago
8

The function below models the voltage, in volts, of a certain alternating current after x seconds, where A and b are positive co

nstants.
f(x) = Acos(bx)
Assume the expression inside the cosine function is measured in radians.
What is the largest value of c such that when the voltage's domain is restricted to the interval [0,c], the function is invertible
Mathematics
1 answer:
Katarina [22]3 years ago
4 0

First of all, we can just ignore A, it has no effect but to vertically stretch our cosine.

If it was only f(x)=cosx, the function would be invertible as long as it's confined between 0 and \pi. Now, the argument of our cosine is not x but bx. It means that it won't stop at \pi, but at \frac{\pi}{b}.

Another way to think about it, "what should i replace x with so I get \pi inside the cosine?"

You might be interested in
The choices are <br> 1. No<br> 2. Yes
pentagon [3]

Answer:

Yes

Step-by-step explanation:

equal distance from the center on both sides

5 0
3 years ago
Please Help!<br> Write a equation for each hanger!
julsineya [31]

Answer:

Step-by-step explanation:

A: 2x = 3

B: w+1.3 = 2.7

C: 3y = 5.1

D: z+⅓ = ½

7 0
3 years ago
A loss of 10 pounds, can u help me please ​
KiRa [710]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
to make pink paint, sylvia mixes 7 cups of white paint to every 3 cups of red paint. which table shows possible values of w, the
-BARSIC- [3]

Answer: A

Step-by-step explanation:

For every 3 cups she need 7 cups of white paint.

answer a displays that with 3*2=6 and 7*2=14

8 0
2 years ago
Someone help <br> wh ores.
kirill115 [55]

Answer

Point 1 (2, 8)

Point 2 (5, 20)

Step-by-step explanation:

Since we are given the x values of 2 and 5, substitute them in the equation and you will get 8 and 20.

3 0
3 years ago
Other questions:
  • The heights of students at a college are normally distributed with a mean of 175 cm and a standard deviation of 6 cm. One might
    8·2 answers
  • Skateland charges a $50 flat fee for birthday party rental and $5.50 for each person. Joann can spend at most $100 on her birthd
    7·2 answers
  • Which statement is true ?
    12·1 answer
  • A company is considering making a new product. They estimate the probability that the new product will be successful is 0.75. If
    14·2 answers
  • Solve with quadratic formula ...8x squared - 2x - 10 = 0
    10·1 answer
  • Last Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Beth can read 3 pa
    15·1 answer
  • If Susan is 4 feet 8 inches tall and Sharon is 5 feet 4 inches tall, what is the ratio of Sharon’s height to Susan’s height?
    10·1 answer
  • Suppose that 73.2% of all adults with type 2 diabetes also suffer from hypertension. After developing a new drug to treat type 2
    12·1 answer
  • Use the Pythagorean theorem to find each missing length to the nearest tenth
    9·2 answers
  • A football stadium has 4,890 seats. There are 6 sections
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!