d py (b) For what value of x is the area largest? (c) What is the maximum area? R is 44. Enclosing a Rectangular Field Beth has 3000 feet of fenc- ing available to enclose a rectangular field. revenue? (a) Express the area A of the rectangle as a function of x where x is the length of the rectangle. (b) For what value of x is the area largest? (c) What is the maximum area? sold of a 45. Enclosing the Most Area with a Fence A farmer with 4000 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along member, the river, what is the largest area that can be enclosed? (See the figure.) he maxi- belay lo naximize le 0.5 VIpes sold of a douA S2 X m 4000-2x ne maxi- mize rev- 46. Enclosing the Most Area with a Fence A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can sold of a be enclosed? 7 47. Analyzing the Motion of a Projectile A projectile is fired from a cliff 200 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 50 feet per sec- ond. The height h of the projectile above the water is given by he maxi- -32x2 mize rev- + x + 200 h(x) (50)2 ahere x is the horizontal distance of the projectile from the sold of a base of the cliff. (a) How far from the base of the cliff is the height of the projectile a maximum?

Question

I need help with number 46

d py
(b) For what value of x is the area largest?
(c) What is the maximum area?
R is
44. Enclosing a Rectangular Field Beth has 3000 feet of fenc-
ing available to enclose a rectangular field.
revenue?
(a) Express the area A of the rectangle as a function of x
where x is the length of the rectangle.
(b) For what value of x is the area largest?
(c) What is the maximum area?
sold of a
45. Enclosing the Most Area with a Fence A farmer with 4000
meters of fencing wants to enclose a rectangular plot that
borders on a river. If the farmer does not fence the side along
member,
the river, what is the largest area that can be enclosed? (See
the figure.)
he maxi-
belay
lo
naximize
le
0.5
VIpes
sold of a
douA S2
X
m
4000-2x
ne maxi-
mize rev-
46. Enclosing the Most Area with a Fence A farmer with 2000
meters of fencing wants to enclose a rectangular plot that
borders on a straight highway. If the farmer does not fence
the side along the highway, what is the largest area that can
sold of a
be enclosed?
7 47. Analyzing the Motion of a Projectile A projectile is fired
from a cliff 200 feet above the water at an inclination of 45°
to the horizontal, with a muzzle velocity of 50 feet per sec-
ond. The height h of the projectile above the water is given by
he maxi-
-32x2
mize rev-
+ x + 200
h(x)
(50)2
ahere x is the horizontal distance of the projectile from the
sold of a
base of the cliff.
(a) How far from the base of the cliff is the height of the
projectile a maximum?

Image Transcription

d py (b) For what value of x is the area largest? (c) What is the maximum area? R is 44. Enclosing a Rectangular Field Beth has 3000 feet of fenc- ing available to enclose a rectangular field. revenue? (a) Express the area A of the rectangle as a function of x where x is the length of the rectangle. (b) For what value of x is the area largest? (c) What is the maximum area? sold of a 45. Enclosing the Most Area with a Fence A farmer with 4000 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along member, the river, what is the largest area that can be enclosed? (See the figure.) he maxi- belay lo naximize le 0.5 VIpes sold of a douA S2 X m 4000-2x ne maxi- mize rev- 46. Enclosing the Most Area with a Fence A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can sold of a be enclosed? 7 47. Analyzing the Motion of a Projectile A projectile is fired from a cliff 200 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 50 feet per sec- ond. The height h of the projectile above the water is given by he maxi- -32x2 mize rev- + x + 200 h(x) (50)2 ahere x is the horizontal distance of the projectile from the sold of a base of the cliff. (a) How far from the base of the cliff is the height of the projectile a maximum?

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