The line segment joining the points a (3,2) and b (5,1) is divided at the point p in the ratio 1:2 and p lies on the line 2x-18y
1 answer:
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now, a function may well be continuous, but it may not be differentiable.
graph wise, differentiability means, a smooth curve, with no abrupt spikes or drops or cuts.
so for this piece-wise to be differentiable, the subfunctions must meet at junctions smoothly, with no abrupt changes, so mx + b, must blend in with x³ smoothly.
now, that can only occur if mx + b has the same slope as x³ at that point where they meet. The point where they meet is at x = 1, well, let's check what is the slope of x³ at x = 1.
therefore "m" for mx+b, must be 3 then.
now, what's the value of x³ at x = 1? well is just (1)³, which is 1.
so for 3x + b, when x = 1, it must also equals 1 as well, that way it meets x³, thus
3x + b
3(1) + b = 1
b = -2
check the graph below.
Answer:
21.75 or 21
Step-by-step explanation:
What I did was 14.5 / 2 to see how many miles were on a 1/3 gallon, then multiplied that answer (which was 7.25) by 3 to get the full 3/3 or 1 gallon.