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Answers by Philip P.

Trig Functions (answer)

(√2)sin (x- pi/4) +1 =0 sin(x-pi/4) = -1/√2   Within the interval 0≤x≤3pi, this occurs when (x-pi/4) = 5pi/4 and (x-pi/4) = 7pi/4.  Solve for x.

The answers are "dark" and "light" respectively.  When the optical paths of the two photons differ by half a wavelength (nλ + λ/2) at point P, the photons from each slit will have opposite phases and will destructively interfere.  When the optical paths at P differ...

For a simple harmonic oscillator: Angular frequency = 2pi/period Frequency = 1/period x(t) = (amplitude)·sin(angular frequency(t - initial displacement))  where t is time.  Assumes equilibrium position is at x = 0 Velocity = dx(t)/dt = (amplitude)·(angular frequency)·cos(angular...

Simple question (answer)

Choice (c) is a duplicate of choice (a).  I think you meant choice (c) to be "acceleration and position" because that is the correct answer.   Consider a simple pendulum which exhibits SHM when the displacement is small. On the downswing, the acceleration and velocity...

Let x = the rate of the biker going north.  The rate of the biker going east is x+3.  distance = rate*time so after one hour they have traveled a distance of x and x+3 respectively.  Draw a right triangle.  One leg is x, the other is x+3.  The hypotenuse is 15...

Let x = the ticket cost reduction in $.  The ticket price function will be:   Price = $9 - x   The demand function (number of spectators) is:   p(x) = 27,000 + 5000x   The revenue is:   R(x) = (Demand)(Price) R(x) = (27,000...

That's not the correct equation to model this situation.  The correct equation is:   26 = 26t - (1/2)(-13)t2   Multiply both sides by (-2/13):   -4 = t2 - 4t 0 = t2 - 4t + 4 0 = (t-2)2 t = 2 seconds   -------   An...