Answer:
yes true I once made a post like this but the mods deleted it before I could put it up lol XD
The question is asking for how many minutes it walks. Since it walks 5 meter per minute and walks 62.5 meters, you have to divide 62.5 by 5 to get how many minutes the tortoise walks. 62.5 divide by 5 is 12.5. in minutes, 0.5 is 30 seconds, therefore the tortoise walked for 12 minutes and 30 seconds or 12 1/2 minutes.
2. C
Slope = 40/8 = 5
Slope of graph c = 5/1 = 5
3. D
Slope = 9/3 = 3
Slope of graph d = 81/27 = 3
The tangent line to a curve is the one that coincides with the curve at a point and with the same derivative, that is, the same degree of variation.
We have then:
y = 5x-x²
Deriving:
y '= 5-2x
In point (1, 4)
The slope is:
y (1) '= 5-2 * (1)
y (1) '= 3
The equation of the line will be:
y-f (a) = f '(a) (x-a)
We have then:
y-4 = 3 (x-1)
Rewriting:
y = 3x-3 + 4
y = 3x + 1
Answer:
the tangent line to the parabola at the point (1, 4) is
y = 3x + 1
the slope m is
m = 3
