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f What are the dimensions of the rectangle shown?
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| f What does the area under a plane curve whose x-axis represents time in hours traveled by a car and y-axis represents its speed in miles per hour represent? f |
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| f What does the area under a plane curve whose x-axis represents pounds of silver and y-axis represents Dollars per pound of silver, represent? f |
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| f What does the area under a plane curve whose x-axis represents time and y-axis represents the rate of decay represent? f |
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| f Which one of the following is the graph of y = x³ in 0 ≤ x ≤ 2? f |
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| f Which of the following is the graph of y = x² - 3x + 2 in 0 ≤ x ≤ 3? f |
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f What is the approximate area under the curve f (x) = x3 for the interval 0 ≤ x ≤ 3 by using inscribed rectangles of width 0.25 units ?
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f What is the approximate area under the curve f (x) = x²4 for the interval 0 ≤ x ≤ 4 by using inscribed rectangles of breadth 0.25 units ?
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| f What is the approximate area under the curve f(x) = - (x²4) + 5 for the interval 0 ≤ x ≤ 3 by using the inscribed rectangles of width 0.5 units ? f |
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| f What is the approximate area under the curve f(x) = x² + 2 for the interval 0 ≤ x ≤ 2 by using circumscribed rectangles of width 0.5 units? f |
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f What is the approximate area under the curve f(x) = - x4 + 5 for the interval 0 ≤ x ≤ 32 by using circumscribed rectangles of width 0.25 units, in square units ?
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f What is the area under the curve f(x) = x² for the interval 0 ≤ x ≤ 3 by using circumscribed rectangles of width 0.25 units, in square units approximately?
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| f Find the area under the curve f(x) = (13)x³ for the domain 0 ≤ x ≤ 3 by using inscribed rectangles and the formula A = ∑n = 16(0.5)f(an) where an is a point on the base of the nth rectangle, approximately in square units. f |
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| f If the areas under a curve y = f (x) by using inner, outer rectangles are A & B, then what is the best approximation for the area under the curve? f |
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| f The curve approximates the number of people who visited a circus of a famous company from the year 1987 to 1991. What does the area under the curve represent? f |
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| f The curve approximates the number of people who visited through a famous mathematics website from 1990 to 1994. Find the approximate number of visitors, for the period 1990 - 1994 by using the inscribed rectangles of 1 unit wide. f |
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| f The graph represents distance traveled by a car per year form the year 1988 to 1992 in miles. Find the approximate distance traveled by the car for the period 1998 to 1992 by using inscribed rectangles of width 0.5 units. f |
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| f While evaluating the area under a curve by using rectangles, which of the following is correct? f |
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| f While evaluating the area under a curve by using inscribed rectangles, which of the following is correct? f |
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| f While evaluating the area under a curve by using circumscribed rectangles, which of the following is correct? f |
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f By using the given rectangles, the approximate area under the curve in square units is
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f By using the given rectangles, the approximate area under the curve in square units is
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