Answer:
Step-by-step explanation:
<u>Volume And Function
s</u>
Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is
Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below
.
If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is
Operating and simplifying
Answer:
<BOC = 100*
Step-by-step explanation:
470/7= 67.14......
67.14 was her fee
67.14 * 1.5 = 100.71
100.71 is her hourly rate
Answer:
0.06% annually
Step-by-step explanation:
Divide $720 by 3. We get $240, so we know this is the amount of interest we get per year. Dividing $240 by $4,000 gives us
The tangent to 
at the point (0, 5) has a slope equal to the derivative evaluated at 
.
This tangent passes through the point (0, 5), so its equation is
The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is
