Deck 7: Extension D: Differential Equations

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سؤال
A hawk flying at an altitude of A hawk flying at an altitude of   m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation   until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters. The distance traveled by the prey from the time it is dropped until the time it hits the ground is approximately   m.<div style=padding-top: 35px> m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation A hawk flying at an altitude of   m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation   until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters. The distance traveled by the prey from the time it is dropped until the time it hits the ground is approximately   m.<div style=padding-top: 35px> until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters.
The distance traveled by the prey from the time it is dropped until the time it hits the ground is
approximately A hawk flying at an altitude of   m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation   until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters. The distance traveled by the prey from the time it is dropped until the time it hits the ground is approximately   m.<div style=padding-top: 35px> m.
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سؤال
Set up,but do not evaluate,an integral for the length of the curve. Set up,but do not evaluate,an integral for the length of the curve.   <div style=padding-top: 35px>
سؤال
Find the arc length function for the curve <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with starting point <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the arc length formula to find the length of the curve. Use the arc length formula to find the length of the curve.   <div style=padding-top: 35px>
سؤال
Find the length of the curve. <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A steady wind blows a kite due west.The kite's height above ground from horizontal position A steady wind blows a kite due west.The kite's height above ground from horizontal position   to   ft is given by   Find the distance traveled by the kite. Give your answer rounded to two decimal places. <div style=padding-top: 35px> to A steady wind blows a kite due west.The kite's height above ground from horizontal position   to   ft is given by   Find the distance traveled by the kite. Give your answer rounded to two decimal places. <div style=padding-top: 35px> ft is given by A steady wind blows a kite due west.The kite's height above ground from horizontal position   to   ft is given by   Find the distance traveled by the kite. Give your answer rounded to two decimal places. <div style=padding-top: 35px> Find the distance traveled by the kite.
Give your answer rounded to two decimal places.
سؤال
Find the length of the curve. <strong>Find the length of the curve.  </strong> A) 36.05 B)   C) 13.05 D) 25.05   E) None of these <div style=padding-top: 35px>

A) 36.05
B) <strong>Find the length of the curve.  </strong> A) 36.05 B)   C) 13.05 D) 25.05   E) None of these <div style=padding-top: 35px>
C) 13.05
D) 25.05 <strong>Find the length of the curve.  </strong> A) 36.05 B)   C) 13.05 D) 25.05   E) None of these <div style=padding-top: 35px>
E) None of these
سؤال
Use Simpson's Rule with n = 6 to estimate the length of the curve <strong>Use Simpson's Rule with n = 6 to estimate the length of the curve   ,   Round your answer to six decimal places.</strong> A) 6.972089 B) 6.987208 C) 6.947368 D) 6.947582 E) None of these <div style=padding-top: 35px> , <strong>Use Simpson's Rule with n = 6 to estimate the length of the curve   ,   Round your answer to six decimal places.</strong> A) 6.972089 B) 6.987208 C) 6.947368 D) 6.947582 E) None of these <div style=padding-top: 35px> Round your answer to six decimal places.

A) 6.972089
B) 6.987208
C) 6.947368
D) 6.947582
E) None of these
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Deck 7: Extension D: Differential Equations
1
A hawk flying at an altitude of A hawk flying at an altitude of   m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation   until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters. The distance traveled by the prey from the time it is dropped until the time it hits the ground is approximately   m. m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation A hawk flying at an altitude of   m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation   until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters. The distance traveled by the prey from the time it is dropped until the time it hits the ground is approximately   m. until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters.
The distance traveled by the prey from the time it is dropped until the time it hits the ground is
approximately A hawk flying at an altitude of   m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation   until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters. The distance traveled by the prey from the time it is dropped until the time it hits the ground is approximately   m. m.
True
2
Set up,but do not evaluate,an integral for the length of the curve. Set up,but do not evaluate,an integral for the length of the curve.
3
Find the arc length function for the curve <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)   with starting point <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)

A) <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)
B) <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)
C) <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)
D) <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)
E) <strong>Find the arc length function for the curve   with starting point  </strong> A)   B)   C)   D)   E)
4
Use the arc length formula to find the length of the curve. Use the arc length formula to find the length of the curve.
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5
Find the length of the curve. <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the length of the curve.  </strong> A)   B)   C)   D)   E)
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6
A steady wind blows a kite due west.The kite's height above ground from horizontal position A steady wind blows a kite due west.The kite's height above ground from horizontal position   to   ft is given by   Find the distance traveled by the kite. Give your answer rounded to two decimal places. to A steady wind blows a kite due west.The kite's height above ground from horizontal position   to   ft is given by   Find the distance traveled by the kite. Give your answer rounded to two decimal places. ft is given by A steady wind blows a kite due west.The kite's height above ground from horizontal position   to   ft is given by   Find the distance traveled by the kite. Give your answer rounded to two decimal places. Find the distance traveled by the kite.
Give your answer rounded to two decimal places.
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7
Find the length of the curve. <strong>Find the length of the curve.  </strong> A) 36.05 B)   C) 13.05 D) 25.05   E) None of these

A) 36.05
B) <strong>Find the length of the curve.  </strong> A) 36.05 B)   C) 13.05 D) 25.05   E) None of these
C) 13.05
D) 25.05 <strong>Find the length of the curve.  </strong> A) 36.05 B)   C) 13.05 D) 25.05   E) None of these
E) None of these
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8
Use Simpson's Rule with n = 6 to estimate the length of the curve <strong>Use Simpson's Rule with n = 6 to estimate the length of the curve   ,   Round your answer to six decimal places.</strong> A) 6.972089 B) 6.987208 C) 6.947368 D) 6.947582 E) None of these , <strong>Use Simpson's Rule with n = 6 to estimate the length of the curve   ,   Round your answer to six decimal places.</strong> A) 6.972089 B) 6.987208 C) 6.947368 D) 6.947582 E) None of these Round your answer to six decimal places.

A) 6.972089
B) 6.987208
C) 6.947368
D) 6.947582
E) None of these
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