Find the GCF of n 3 t 2 and nt 4.
2 answers:
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The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.
(b) When <em>x </em>= 0.6 and q = 0.5 m/s, the speed of the wagon is approximately <u>0.243 m/s</u>.
Reasons:
(a) The distance from the cart to the pulley, <em>r</em> is given by Pythagoras's
theorem as follows;
r = √((3 - 0.6)² + x²) = √(2.4² + x²)
The speed of the wagon =
The speed of the rope, q =
By chain rule, we have;
Therefore;
(b) The speed of the wagon when <em>x</em> = 0.6 if q = 0.5 m/s is given as follows;
The speed of the wagon when <em>x </em>= 0.6 and q = 0.5 m/s, ≈ <u>0.243 m/s</u>
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If we take the equation and multiply out the left side, we get....
+ 2xk + 
= + x +
The x^2 and k^2 cancel out on both sides leaving us with this...
2kx = x
If we divide both sides by 2x to isolate k, k ends up = 1/2
The x^2 and k^2 cancel out on both sides leaving us with this...
2kx = x
If we divide both sides by 2x to isolate k, k ends up = 1/2
A solid dot on the graph of an inequality indicates that the number is contained within the inequality, so yo should use 
or 
to represent that situation, whereas a white dot indicates that the number is not contained within the inequality.
Our graph is telling us that
is greater or equal than -1, and also is less than 3. So our inequality will be:
Our graph is telling us that