Stacy rowed across the lake with her friend Rainey (in the same boat) at a rate of 4 mph. Rainey then rowed back at a rate of 3
2 answers:
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For this case we have that by definition, the equation of a line in the point-slope form is given by:
Where:
m: It is the slope of the line and is a point through which the line passes.
We have the following equation of the slope-intersection form:
Where the slope is
By definition, if two lines are perpendicular then the product of their slopes is -1.
Thus, a perpendicular line will have a slope:
Thus, the equation will be of the form:
Finally we substitute the given point and we have:
Answer:
Option B
The vector function is, r(t) =
Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.
First surface is the paraboloid,
Second equation is of the parabolic cylinder,
Now to find the intersection of these surfaces, we change these equations into its parametrical representations.
Let x = t
Then, from the equation of parabolic cylinder, .
Now substituting x and y into the equation of the paraboloid, we get,
Now the vector function, r(t) = <x, y, z>
So r(t) =
Learn more about vector functions at brainly.com/question/28479805
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