Answer:
Car 1 slope = 35
Car 2 slope = 40
Red line(car 2) is steeper than the blue line(car 1)
slope is miles per gallon
Step-by-step explanation:
Slope formula is
To find slope, pick two points from graph of Car 1
(4,140) (6,210)
= 35
To find slope, pick two points from graph of Car 2
(3,120) (5,200)
= 40
When slope is larger then line is steeper
slope of Car 2 is greater than slope of Car1
So Red line is steeper than the blue line.
Slope is change is y over change in x
It means Change in miles over change in gallons
So slope is miles per gallon
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.
Answer:
Different scientists might perform the experiment differently
Step-by-step explanation:
By definition, the unit vector of v = (a,b) is
Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
(3,5)/√[3² + 5²]
= (3,5)/√34
The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65
Answer:
The unit vector of v₁ in the direction of |v₁} is
The unit vector of v₂ in the directin of |v₂| is
