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A: I am attaching image so that you understand each and every step.
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A: Simply use differential formula and we can easily solve it Please see the solution Thanks
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A: Given :- a(t) = 4i- 72j+ (72t + 4)k v(0) = i+ k r(0) = j+ 3k
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- Express the vector = + y. F 10 as a linear combination of -[-] and ÿ==Write the vector equation of the line through (9,-1) and perpendicular to (x,y) = (1,-2) + t(6,-7)Find the velocity, speed, and acceleration of a particle moving with position function r(t)=(3t^2-4)i+(3t)j Sketch the path of the particle and draw the position, velocity, and acceleration vectors for t=2
- find the vector equation for the line through the point A = (5, -2, 1) at t = 0. and B = (-3, 1, -2) at t = 1.Create the vector & parametric equations for the line that passes through the point L₁ x 3- 2t (0, 1, -2) and is parallel to the line y z = = - 5t - 1-t.Find the vector equation for the line of intersection of the planes 4x - y + 3z = 1 and 4x + 2z = −1 ,0) + (-2, r =
- Find the vector equation of a line L going through the point P = (-5, -6) and parallel to the line generated by multiples of the vector v = --HA 1 L(t) - +tYou are standing above the point (2, 2) on the surface z = 15 - (3x² + 2y²). (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.) direction = (b) If you start to move in this direction, what is the slope of your path? slope =Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the line <1−4t,3t−3>