Review for Test 2 Honors Calc 2nd semester

We need to enclose a field with a fence. We have 500 feet of fencing material and a building is on one side of the field so we won't need any fencing on that side. Determine the dimensions of the field that will enclose the largest area.

• x=250 ft, y=125 ft
• x=150 ft, y=200 ft
• x=125 ft, y=100 ft
• x=200 ft, y=150 ft

Find two positive numbers whose product is 81 and whose sum is a minimum.

• y=9.x=9.S=18

• y=7.x=11.S=18

• y=5.x=4.S=9

• y=3.x=4.S=5

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

.

• (3x²-2)cos(x³-2x)

• -(3x²-2)cos(x³-2x)

• cos(2x²-2)

• sin(2x²-2)