Answer:
Difference in speed = 10.28 miles/hour
Step-by-step explanation:
Whovenile Delinquents takes 32 minutes to hike up a mountain and 3 minutes to hike down a mountain.
Distance hiked = 3000 feet
We have to find the speed difference of climbing in both the journeys in miles/hour.
Conversions :
therefore 3000 feet = 0.57 miles
32 minutes = 0.53 hours
3 minutes = 0.05 hours
Speed = 
Speed uphill = 
Speed uphill = 1.08 miles/hour
Speed downhill = 
Speed downhill = 11.36 miles/hour
Difference in speed = 10.28 miles/hour
Answer:
(a) t = ±2
(b) t ∈ {0, 1}
(c) In navigation terms: east by north. The slope is about 0.42 at that point.
Step-by-step explanation:
(a) dy/dx = 0 when dy/dt = 0
dy/dt = 3t^2 -12 = 0 = 3(t -2)(t +2)
The slope is zero at t = ±2.
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(b) dy/dx = (dy/dt)/(dx/dt) = <em>undefined</em> when dx/dt = 0
dx/dt = 6t^2 -6t = 6(t)(t -1) = 0
The slope is undefined for t ∈ {0, 1}.
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(c) At t=3, dy/dx = (dy/dt)/(dx/dt) = 3(3-2)(3+2)/(6(3)(3-1)) = 15/36 = 5/12
The general direction of movement is away from the origin along a line with a slope of 5/12, about 22.6° CCW from the +x direction.
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The first attachment shows the derivative and its zeros and asymptotes. It also shows some of the detail of the parametric curve near the origin.
The second attachment shows the parametric curve over the domain for which it is defined, along with the point where t=3.
Well, from looking at the numbers listed, they’re all multiplied by -2, (negative two) and so on, as you go through the number sequence.
Answer:
see attached
Step-by-step explanation:
I find it usually works well to draw the longest side first. Then draw arcs with radii equal to the other two side lengths. They will cross at an angle that makes the position of the third point easy to find.
i think its 84 miles in 7 days
