webwork 3.1 solutions/answers

Find the equation of the tangent line to the curve y=xx√ at the point (4,8).

At which point on the curve y=5+2ex−3x is the tangent line parallel to the line 3x−y=5?
Just give the x-coordinate as an exact answer below.

Find a function y=ax2+bx+c whose graph has an x-intercept of 1, a y-intercept of -2, and a tangent line with a slope of -1 at the y-intercept.

A space traveler is moving from left to right along the curve
y=x2.
When she shuts off the engines, she will continue traveling along the tangent line at the point where she is at that time. At what point
(x,y)=(
3
,
9
)
should she shut off the engines in order to reach the point (4,15)?
If she was traveling from right to left she would have to shut off the engines at the point (x,y)=