Consider an object moving along the parametrized curve with equations: x(t)=e² + e¯², y(t)=-* where t is in the time interval [0,1] seconds. Recall that the speed of a parametric curve is given by s(t) = √(x(t))² + (y'(t))². (a) The maximum speed of the object on the time interval is at time (b) The minimum speed of the object on the time interval is at time Two stoves are located 43 feet apart, one giving out 4 times as much heat as the other. If you stand at a point on the line between the stoves at a distance x from the less powerful stove, the temperature of the air is given by 60 H(x)=100+ + 240 (43-x)2 Assume you move back an forth between the two stoves, always at least 4 ft from either stove. (a) Assume you wish to determine the maximum and minimum temperatures you would experience. The domain to study for the function H(X) would be [4 ] (b) There is one critical number for the function on the domain in (a) and it is (c) The maximum temperature you would experience is max = (d) The minimum temperature you would experience is min =

Consider an object moving along the parametrized curve with equations: x(t)=e² + e¯², y(t)=-* where t is in the time interval [0,1] seconds. Recall that the speed of a parametric curve is given by s(t) = √(x(t))² + (y'(t))². (a) The maximum speed of the object on the time interval is at time (b) The minimum speed of the object on the time interval is at time Two stoves are located 43 feet apart, one giving out 4 times as much heat as the other. If you stand at a point on the line between the stoves at a distance x from the less powerful stove, the temperature of the air is given by 60 H(x)=100+ + 240 (43-x)2 Assume you move back an forth between the two stoves, always at least 4 ft from either stove. (a) Assume you wish to determine the maximum and minimum temperatures you would experience. The domain to study for the function H(X) would be [4 ] (b) There is one critical number for the function on the domain in (a) and it is (c) The maximum temperature you would experience is max = (d) The minimum temperature you would experience is min =

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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