Yeah, I didn't quite get that either. I've typed out the question exactly as it appears. Is there a way to do it if maybe we just ignore what they've said about f(x) = f(a) and try to prove the result another way?
Homework Statement
f(x) = f(x_1,...,x_N) : R^N \mapsto R has continuous partial derivatives. Assume that for a point a in R^N , \frac{\partial f}{\partial x_i}(a) \neq 0 for all i = 1...N.
The implicit function theorem says that near a, the equation f(x) = f(a) can be used to express each...
How about this:
the thrown ball takes 0.35 seconds to reach the ground from when it reaches the roof again, 1.88 - 1.53 if I say the ball is coming from the 11.48 m mark.
After this, I form a pair of simultaneous equations to solve:
h = 1/2 9.8 t^2
= 4.9t^2 (1)
h + 11.48 = 4.9...
Sorry, I'm not exactly sure what x and x_0 are - the displacement formula I learned was
r = ut + 1/2 a t^2. where I guess u is v_0. Will work on the rest.
v_0 is 15ms^-1 for thrown ball, and 0 ms^-1 for dropped ball.
so a is -9.8 on the way up and 9.8 on the way down.
what exactly is t_1...
Homework Statement
"Two boys stand on the roof of an office block. One drops a ball from the roof, the other throws a ball up vertically with an initial velocity of 15 ms^-1. The balls strike the ground 1.88s apart. Calculate the heigh of the office block"
Homework Equations
x = x_0 + v_0 t +...