A farmer has 160 yd of fencing material and wants to enclose three rectangular pens. Suppose that x represents the length of each pen and y represents the width as shown in the figure. a. Assuming that the farmer uses all 160 yd of fencing, write an expression for y in terms of x . b. Write an expression in terms of x for the area of one individual pen. c. If the farmer wants to design the structure so that each pen encloses 250 yd 2 , determine the dimensions of each pen.
A farmer has 160 yd of fencing material and wants to enclose three rectangular pens. Suppose that x represents the length of each pen and y represents the width as shown in the figure. a. Assuming that the farmer uses all 160 yd of fencing, write an expression for y in terms of x . b. Write an expression in terms of x for the area of one individual pen. c. If the farmer wants to design the structure so that each pen encloses 250 yd 2 , determine the dimensions of each pen.
A farmer has 160 yd of fencing material and wants to enclose three rectangular pens. Suppose that x represents the length of each pen and y represents the width as shown in the figure.
a. Assuming that the farmer uses all 160 yd of fencing, write an expression for y in terms of x.
b. Write an expression in terms of x for the area of one individual pen.
c. If the farmer wants to design the structure so that each pen encloses
250
yd
2
, determine the dimensions of each pen.
Given that the outward flux of a vector field through the sphere of radius r centered at the origin is
5(1 cos(2r)) sin(r), and D is the value of the divergence of the vector field at the origin, the value of sin (2D) is
-0.998
0.616
0.963
0.486
0.835
-0.070
-0.668
-0.129
10
The hypotenuse of a right triangle has one end at the origin and one end on the curve y =
Express the area of the triangle as a function of x.
A(x) =
In Problems 17-26, solve the initial value problem.
17. dy = (1+ y²) tan x, y(0) = √√3
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