Homework Statement
f(x) = cos2x - sin2xThe Attempt at a Solution
f'(x) = (2cosx)(-sinx) - (2sinx)(cosx)
f'(x) = -2cosxsinx - 2sinxcosx
This is what I think the answer should be, but the back of the book says otherwise. I need help identifying what I did wrong.
Homework Statement
Given that 2 is a repeated root of the equation 2x^3 + px^2 + qx -4 = 0, find the third root and the values of p and q.
Homework Equations
b^2 - 4ac(?)
The Attempt at a Solution
Since it said 2 is a root I plugged in 2 as the value of x and rearranged the...
Homework Statement
Two hockey pucks of equal mass undergo a collision on a hockey rink. One puck is initially at rest, while the other is moving with a speed of 5.4 m/s. After the collision, the velocities of the picks make angles of 33° and 46° relative to the original velocity of the moving...
But I don't think I have enough known variables to do that. If I use vfx = vix + ax * t then I don't have ax and I don't have the initial velocity in the y direction either so I can't figure out the final velocity in the y direction.
Homework Statement
A watercraft with an initial velocity of 6.4 m/s [E] undergoes an average acceleration of 2.0 m/s2 [S] for 2.5 s. What is the final velocity of the watercraft?Homework Equations
vf = vi + a * t
a = v / t
v = v2 + (-v1)
pythagoras and cosine law?
The Attempt at a Solution
I...
Is that the formula with 1/2 mv2 and mgh in it? I looked it up and it came up with stuff like Δ(U+K) = 0 and U + K = E which don't look familiar to me at all. I'm in Grade 12 right now, so should I have learned it?
I am trying to calculate the speed of an object at the point that it flys off the half circle ramp, and I was wondering if it would be correct to use the formula v2=v20+2aΔx to calculate the final velocity of the object as it exits the half circle thing.
Homework Statement
Blue light (λ = 482 nm) is directed through parallel slits separated by 0.15 mm. A fringe pattern appears on a ascreen 2.00 m away. How far from the central axis on either side are the second order dark bands?
λ = 4.82 x 10-7 m
d = 1.5 x10-4 m
L = 2.00 m
m = 2
y= ...