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
kherson [118]
3 years ago
13

The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )Sta

rtFraction m Over sec EndFraction for all t. If sequals0 when tequals​0, find the value of s when tequalsStartFraction pi Over 2 EndFraction sec.
Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

v = \frac{ds}{dt} = 6 sin(2t) m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

You might be interested in
HELPPPPPP I REALLLY NEED THIS DONE!!!! ILL MARK YOU AS BRAINIEST!!!!
sashaice [31]

Answer:

The mad for this graph is 23 hope it helped!

Step-by-step explanation:

8 0
3 years ago
Can some on e please help me understand this
umka21 [38]
It’s P.E.M.D.A.S

P= parenthesis ()
E= exponent
M= multiplication or Multiply
D= Division or divided
A= Addition
S= Subtraction
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


4 0
3 years ago
For which function is f(x) equal to f^1(x) ( answer choices in picture )
Sonja [21]

Answer:

C. f(x)=\frac{x+1}{x-1}

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+6}{y-6}

Rewrite in terms of 'y'. This gives,

x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}

The given function y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}

So, option A is incorrect.

Option B:

f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+2}{y-2}

Rewrite in terms of 'y'. This gives,

x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}

The given function y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}

So, option B is incorrect.

Option C:

f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+1}{y-1}

Rewrite in terms of 'y'. This gives,

x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}

The given function y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}

So, option C is correct.

Option D:

f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+5}{y-5}

Rewrite in terms of 'y'. This gives,

x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}

The given function y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}

So, option D is incorrect.

Therefore, only option C is correct.

7 0
3 years ago
Graph the linear function. f(x) = -3x + 1
Anastaziya [24]
Here’s the graph. I hope this is right

6 0
3 years ago
Read 2 more answers
Which graph of a relation is also a function ?
Illusion [34]

Answer:

B

Step-by-step explanation:

A graph is only a function when there is only one y value for each x value.

A trick is to draw a line through some points on the x-axis, and if the line goes through more than one point. Then it is not a function. (See picture)

Sorry, not all the lines are straight, but you get the point. B is the only one that doesn't have more than one point on the lines I drew.

3 0
3 years ago
Other questions:
  • Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge
    15·1 answer
  • Please help me, I don't understand.
    9·1 answer
  • Narine is solving the equation = 6 for q. Her work is shown. = 6 = 62 3q = A q = B What are the correct values for A and B? A =
    15·1 answer
  • Simon invested $ 1,550 at 6.5 simple interest.He earned $302.25 in interest after t years. What is the value of t?
    8·2 answers
  • (-2)+3 im so dumb sorry
    8·1 answer
  • Why does the formula for finding the area of a circle work? A = π r²
    6·2 answers
  • A polygon with 4 sets of parallel lines
    12·1 answer
  • Find the largest number that divides 15 and 27 without leaving reminder​
    14·2 answers
  • Solve. Tell whether the equations have all real numbers or no solutions.
    12·2 answers
  • I need help with this
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!