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2. The moment the batmobile passes through the point (-1, /3), the angle 0 is changing at a rate given by de = 3 rad/hr. dt Find the rate at which the batmobile's horizontal velocity, is changing at this time. dt

2. The moment the batmobile passes through the point (-1, /3), the angle 0 is changing at a rate given by de = 3 rad/hr. dt Find the rate at which the batmobile's horizontal velocity, is changing at this time. dt

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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“1 2 3” are all part of the same problem that all refer to the info at the top.
2. The moment the batmobile passes through the point (-1, v3), the angle 0 is changing at a rate given by do = 3 rad/hr. dt Find the rate at which the batmobile's horizontal velocity, , is changing at this time. 3. Find the rate at which the distance between the batmobile and the origin (0, 0) is changing the moment the batmobile passes through the point (-2,0).
Transcribed Image Text:2. The moment the batmobile passes through the point (-1, v3), the angle 0 is changing at a rate given by do = 3 rad/hr. dt Find the rate at which the batmobile's horizontal velocity, , is changing at this time. 3. Find the rate at which the distance between the batmobile and the origin (0, 0) is changing the moment the batmobile passes through the point (-2,0).
Batman is at it again, driving his vehicle frantically around Wayne Manor (luckily avoiding Alfred's freshly planted patch of dwarf cypress and gardenia). This time, the batmobile moves counterclockwise at along a circular path given by equation x2 + y? = 4. Let 0 denote the angle formed between between the batmobile and the positive x-axis at time t. 1. The moment the batmobile passes through the point (V2, /2), its vertical velocity (in miles per hour) is given by dy = 30 mi/hr., dt Find the rate (in radians per hour) at which the the angle 0 is moving at this time. 2. The moment the batmobile passes through the point (-1, v3), the angle 0 is changing at a rate given by do = 3 rad/hr. dt Find the rate at which the batmobile's horizontal velocity, d, is changing at this time.
Transcribed Image Text:Batman is at it again, driving his vehicle frantically around Wayne Manor (luckily avoiding Alfred's freshly planted patch of dwarf cypress and gardenia). This time, the batmobile moves counterclockwise at along a circular path given by equation x2 + y? = 4. Let 0 denote the angle formed between between the batmobile and the positive x-axis at time t. 1. The moment the batmobile passes through the point (V2, /2), its vertical velocity (in miles per hour) is given by dy = 30 mi/hr., dt Find the rate (in radians per hour) at which the the angle 0 is moving at this time. 2. The moment the batmobile passes through the point (-1, v3), the angle 0 is changing at a rate given by do = 3 rad/hr. dt Find the rate at which the batmobile's horizontal velocity, d, is changing at this time.
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