Find the equation of the tangent to the curve y = 4x³- 5x² + x - 3 at the point where it crosses the y axis.
1 answer:
Answer:
y = x-3
Step-by-step explanation:
When the graph of this equation crosses the y - axis , the value of x is = 0.
sub in zero to find this y value = -3
so the point is (0, -3)
Now find the drivative of this equation....the derivative tells you the slope of the original graph at any given point
derivative = 12x^2-10x+1 this , when x = 0 shows slope = 1
the equation then becomes y = (1) x -3 or just y = x-3
See image below
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Answer: Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .
Step-by-step explanation:
Since the triangles are similar, the ratio of their sides are equal.
And we can count the number of blocks over which AC and A'C' is drawn and take them to be their length,
Therefore,
AC = 16
A'C'= 8
Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .
Measuring the tans of the angles by taking the ratio of opposite by adjacent, we get,
tanA =
tanA'=
which means tanA= tanA'
The angles do not change.
Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .