A spaceship travels on a path given by p(t) = (t, t^2 - 2t, t^2).(a) Find an equation for the tangent line to the path of the particle at t = 3.(b) The crew of the spaceship is tasked with the job of deflecting an asteroid in orderto save planet Earth. The spaceship is equipped with a laser beam that can firestraight ahead. The asteroid is located at (5,11, 21). At what time should the crewfire the laser?

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x + y²) = 25(x² – y?) a the…

A:

Q: Sketch 9x2 + 25y2 = 5625 and the line segments connecting (20, 0) and (-20, 0) to (15, 12)

A:

Q: b) A racecar travels on the flat road and its motion is monitored. i) If the car is accelerating at…

A:

Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y = 104 at the point (2, 2).…

A:

Q: Form the diffrential equation representing the family of curves y = a sinx (x + b) where a,b are…

A: