Consider an object moving in the plane whose location at time t seconds is given by the parametric equations: x(t)=4cos(πt)
y(t)=3sin(πt).

(i) The first time when the horizontal and vertical velocities are equal is time t=

(j) Let Q be the position of the object at the time you found in part (i). The slope of the tangent line to the ellipse at Q is

23

step-by-step explanation:

x=half

step-by-step explanation:

answer: i guess 105 degrees?

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is