A particle moves along the curve y = sin(t/2) . As the particle passes through the point (â ,1), its x-coordinate increases at a rate of 10 cm/s. How fast is the distance from the particle to the origin changing at this instant? A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/s. Find the rate at which the area within the circle is increasing 1 s, 3 s, and 5 s
A particle is moving along the curve . As theparticle passes through the point , its -coordinate increases at arate of units per second. Find therate of change of the distance from the particle to the origin atthis instant. ?