If two objects travel through space along two different curves, it's often important to know whether they will collide. (will a missile hit its moving target? will two aircraft collide? ) the curves might intersect, but we need to know whether the objects are in the same position at the same time. suppose the trajectories of two particles are given by the vector functions for t 0. do the particles collide? if they collide find t. if not enter none.

r1(t)=
r2(t)=< 9t-14,t^2,13t-42>

at home andrea has 1 2/3 kilograms of rice

step-by-step explanation:

the median is   36 orr sum like dat

step-by-step explanation:

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.