Deck 5: Extension C: Integrals

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Evaluate the integral. <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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The area of the region that lies to the right of the y-axis and to the left of the parabola <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> (the shaded region in the figure)is given by the integral <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Find the area.. <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate the integral. <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
The velocity of a car was read from its speedometer at ten-second intervals and recorded in the table.Use the Midpoint Rule to estimate the distance traveled by the car.
<strong>The velocity of a car was read from its speedometer at ten-second intervals and recorded in the table.Use the Midpoint Rule to estimate the distance traveled by the car.  </strong> A) 1.8 miles B) 0.6 miles C) 0.8 miles D) 1.2 miles E) 2.4 miles <div style=padding-top: 35px>

A) 1.8 miles
B) 0.6 miles
C) 0.8 miles
D) 1.2 miles
E) 2.4 miles
Question
Evaluate the integral. <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
The acceleration function (in m/ <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval. <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval. <strong>The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.  </strong> A) 68 m B) 100 m C) 64 m D) 36 m E) 72 m <div style=padding-top: 35px>

A) 68 m
B) 100 m
C) 64 m
D) 36 m
E) 72 m
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Deck 5: Extension C: Integrals
1
Evaluate the integral. <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
2
The area of the region that lies to the right of the y-axis and to the left of the parabola <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)   (the shaded region in the figure)is given by the integral <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)   Find the area.. <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)

A) <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)
B) <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)
C) <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)
D) <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)
E) <strong>The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)is given by the integral   Find the area..  </strong> A)   B)   C)   D)   E)
3
Evaluate the integral. <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
4
The velocity of a car was read from its speedometer at ten-second intervals and recorded in the table.Use the Midpoint Rule to estimate the distance traveled by the car.
<strong>The velocity of a car was read from its speedometer at ten-second intervals and recorded in the table.Use the Midpoint Rule to estimate the distance traveled by the car.  </strong> A) 1.8 miles B) 0.6 miles C) 0.8 miles D) 1.2 miles E) 2.4 miles

A) 1.8 miles
B) 0.6 miles
C) 0.8 miles
D) 1.2 miles
E) 2.4 miles
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5
Evaluate the integral. <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
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6
The acceleration function (in m/ <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval. <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)

A) <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)
B) <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)
C) <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)
D) <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)
E) <strong>The acceleration function (in m/   )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.  </strong> A)   B)   C)   D)   E)
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7
The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval. <strong>The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.  </strong> A) 68 m B) 100 m C) 64 m D) 36 m E) 72 m

A) 68 m
B) 100 m
C) 64 m
D) 36 m
E) 72 m
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