math homework

need to help

Let P = (x,y) be a point on the graph of y=x? – 3.
(a) Express the distance d from P to the origin as a function of x.
d(x)=
Let P = (x,y) be a point on the graph of y= Vx.
(a) Express the distance d from P to the point (2,0) as a function of x.
d=
A right triangle has one vertex on the graph of y=x5, x>0, at (x, y), another at the origin, and the third on
the positive y-axis at (0, y), as shown in the figure. Express the area A of the triangle as a function of x.
y = x5
A(x) =
(Use integers or fractions for any numbers in the expression.)
(0, y)
(x, y)
X
(0,0)
Island
An island is 3 miles from the nearest point P on a
straight shoreline. A town is 13 miles down the
shore from P.
3
d.
P
Town
х
13-X
(a) If a person can row a boat at an average speed of 2 miles per hour and the same person can walk 4 miles per hour, express the time T that it takes to go from the island to town as a function of the distance x from
P to where the person lands the boat.
T(x)
(Use integers or fractions for any numbers in the expression.)
An open box with a square base is to be made from a square piece of cardboard 42 inches on a side by cutting out a square from each corner and turning up the sides. See the
figure. Answer parts (a)-(d).
X
X
42 in
X
x
X
X
42 in
(a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner.
V=