Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
y = √x
(a) find dy/dt, given x = 16 and dx/dt = 7.
dy/dt =

(b) find dx/dt, given x = 64 and dy/dt = 8.
dx/dt =

Is trapezoid abdc the result of a dilation of trapezoid mnpq by a scale factor of ? why or why not? yes, because ab and cd are each the lengths mn and qp. yes, because sides ab and cd are parallel to sides mn and qp. no, because ab is the length mn but cd is the length qp. no, because sides ab and cd have different slopes from sides mn and qp.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Describe how you can act financially responsible.