(a) Differentiate each of the components to get r'(t). The rule is
.. d/dt (a*e^(bt)) = a*b*e^(bt)
The answer you have shown is the correct one.
(b) See the figure. The red curve is the position r(t) for 0 ≤ t ≤ 2. The dashed orange line is the tangent line, whose equation is
.. L(t) = r(0) +r'(0)*t = (2 +2t)i +(3 -3t)j
Answer:
susan
Step-by-step explanation:
susan as 18 out of 48 = 0.375
multiply by 100
0.375 x 100 = 37.5
Answer:
Since you know that the pet store has 9 dog leashed, and we know that they have 8 fewer dog leashes than dog collars we can just add 8 to 9 to get 17 dog collars
Answer:
y = (-1/6)x
Step-by-step explanation:
As we move from (-3, 0.5) to (3, -0.5), x increases by 6 and y decreases by 1.
Hence, the slope of this line is m = rise / run = -1/6.
Starting with the slope-intercept form of the equation of a straight line, we have:
y = mx + b. We substitute 0.5 for y, -3 for x and -1/6 for m, obtaining:
0.5 = (-1/6)(-3) - b, or:
0.5 = 0.5 - b. Then b = 0, and the desired equation is
y = (-1/6)x
The first one would be 120 the second one would be 68