This is not a drill! The rocket set off by Crashcon industries has developed a catastrophic defect; destroying the thrusters and sending the rocket plummeting to earth. Our detection center at (0,0) has determined the height of the rocket's trajectory to be (0,3.7) miles. It has been comfirmed that the rocket is traveling in a linear path. But we have not been able to determine a definitive slope- we know that the slope is between -3 and -4. We need to use this information to determine a region of potential impact.Using the same point (0,3.7), find two linear functions. f(x) with a slope of -3 and g(x) with a slope of -4Find the x-intercept of both functions; these are the maximum (xmax) and minimum (xmin) points of impact.In set notation establish a region of potential impact                       {x|xmin  < x < xmax }

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Asked Feb 14, 2020
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This is not a drill! The rocket set off by Crashcon industries has developed a catastrophic defect; destroying the thrusters and sending the rocket plummeting to earth. Our detection center at (0,0) has determined the height of the rocket's trajectory to be (0,3.7) miles. It has been comfirmed that the rocket is traveling in a linear path. But we have not been able to determine a definitive slope- we know that the slope is between -3 and -4. We need to use this information to determine a region of potential impact.

  • Using the same point (0,3.7), find two linear functions. f(x) with a slope of -3 and g(x) with a slope of -4
  • Find the x-intercept of both functions; these are the maximum (xmax) and minimum (xmin) points of impact.
  • In set notation establish a region of potential impact                       {x|xmin  < x < xmax }
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Expert Answer

Step 1

Given (x,y) and slope, we can use the slope point form and determine the functions.

Calculus homework question answer, step 1, image 1

Step 2

Calculus homework question answer, step 2, image 1

Step 3

Calculus homework question answer, step 3, image 1

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Math

Calculus