Suppose you go shopping for a new futon bed for your apartment/home. The model you really like happens to be on sale for $1100.
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The balloon has a volume dependent on its radius
:
Differentiating with respect to time gives
If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of
The surface area of the balloon is
and differentiating gives
so that at the moment the radius is 3 m, its area is increasing at a rate of
Answer:
3 Units
Step-by-step explanation:
Secant RM intersects secant RN at point R.
The secants intersects the circle at points P and Q respectively as seen in the diagram.
To determine the length of RQ, we use the Theorem of Intersecting Secants.
Applying this on the diagram, we have:
RP x RN=RQ X RM
4(4+5)=RQ(RQ+9)
Let the length of RQ=x
Therefore, length of RQ=3 Units
