Take a look at the figure. the chair shown is a variation on the style known as    a.  windsor.  b.  adam  c.  mission.  d.  chippendale.

I believe the answer is A. Windsor
A windsor chair is built with solid seat made from wood with the legs and the chair-back are round and tetoned.
The upright of the back and the back of the legs are continuous and the the seats on this chair will be carved to shallow shapes in order to provide some sense of comfort for those who sit on it

You need to figure out at which x-value does the graph has a tangent line slope of -1.remember, the derivative is the slope of the tangent line. so find the derivative function and set it to equal -1 to find the x-value that will have a tangent line slope of 0.differentiate with the chain rule.    set the derivative to equal -1 and solve for x.      take log base 10 of both sides. also recall that  .    so the x-coord of the point of tangency is .the y-coordinate of this point of tangency can be calculated using the original function:     using point-slope form, the equation of the tangent line is      the x-intercept of this tangent line is when the graph is at y=0.    this rounds off to  .choice c.