Inverse Trigonometric function -- derivative f(x) = ccos X+3 { f(x) = sin [arccos ([(x)/ (x+3)...

 

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Inverse Trigonometric function -- derivative f(x) = ccos X+3 { f(x) = sin [arccos ([(x)/ (x+3) ])] } %3D QUESTION 10 10 points Save Answer Related rates (angle and trigonometry) Observers of rocket launch An observer is watching the launching of a rocket at a location 300 ft form the base of the rocket. The angle A. (th), for the observer represents the angle of elevation from the ground level to the height of the rocket. a) Write an equation relating the variable h, the height of the rocket to this angle of elevation 0. b) Take the derivative and apply the methods from related rates to find the rate of change of the angel of elevation, de/ dt in terms of the speed of the rocket dh/dt. C) Evaluate this rate of change de/ dt,if the rocket is at a height of h = 150 ft and moving at a rate of dh/dt = 550 mph and when the height is h = 300 sgrt(3) ft -- 519.6 ft. and the speed is dh/dt = 550 mph Also evaluate when the height is h = 1500 and the speed is dh/dt = 750 mph QUESTION 11 Find all critical points for each of the following functions. a) f(x) = /2x-4/(x+2) { f(x) = [ ( sqrt(2x-4) )/ (x+2)] b) f(x) = x4 - 8 x2 + 2 { f(x) = x^4 - 8 x^2 + 2 } Inverse Trigonometric function -- derivative f(x) = ccos X+3 { f(x) = sin [arccos ([(x)/ (x+3) ])] } %3D QUESTION 10 10 points Save Answer Related rates (angle and trigonometry) Observers of rocket launch An observer is watching the launching of a rocket at a location 300 ft form the base of the rocket. The angle A. (th), for the observer represents the angle of elevation from the ground level to the height of the rocket. a) Write an equation relating the variable h, the height of the rocket to this angle of elevation 0. b) Take the derivative and apply the methods from related rates to find the rate of change of the angel of elevation, de/ dt in terms of the speed of the rocket dh/dt. C) Evaluate this rate of change de/ dt,if the rocket is at a height of h = 150 ft and moving at a rate of dh/dt = 550 mph and when the height is h = 300 sgrt(3) ft -- 519.6 ft. and the speed is dh/dt = 550 mph Also evaluate when the height is h = 1500 and the speed is dh/dt = 750 mph QUESTION 11 Find all critical points for each of the following functions. a) f(x) = /2x-4/(x+2) { f(x) = [ ( sqrt(2x-4) )/ (x+2)] b) f(x) = x4 - 8 x2 + 2 { f(x) = x^4 - 8 x^2 + 2 }