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front 1 The velocity graph of a braking car is shown. Use it to estimate to the nearest foot the distance traveled by the car while the brakes are applied. Use a left sum with n = 7. | back 1 19 |

front 2 Evaluate by interpreting it in terms of areas. | back 2 |

front 3 Express the limit as a definite integral on the given interval. | back 3 |

front 4 Find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = √sinx x, 0 ≤ x ≤ π | back 4 |

front 5 Find the limit. | back 5 3 |

front 6 Find g | back 6 6 + cos x |

front 7 An animal population is increasing at a rate of 32 + 36t per year (where t is measured in years). By how much does the animal population increase between the fourth and tenth years? | back 7 1704 |

front 8 Evaluate the definite integral. | back 8 0 |

front 9 Evaluate the integral. | back 9 18.75 |

front 10 Evaluate the indefinite integral. | back 10 2/5 (x |

front 11 Use the definition of area to find the area of the region under the
graph of f on [a, b] using the indicated choice of c f(x) = x | back 11 72 |

front 12 Evaluate the limit after first finding the sum (as a function of n) using the summation formulas. | back 12 76/3 |

front 13 The graph of a function f on the interval [0, 8] is shown in the figure. Compute the Riemann sum for f on [0, 8] using four subintervals of equal length and choosing the evaluation points to be (a) the left endpoints, (b) the right endpoints, and (c) the midpoints of the subintervals. | back 13 a. 18 |

front 14 You are given function f defined on an interval [a, b], the number n
of subintervals of equal length ∆x = (b-a)/n, and the evaluation
points ck in [x f(x) = 2x - 3, [0,2], n=4, ck is the right endpoint | back 14 |

front 15 Evaluate | back 15 4 |

front 16 | back 16 a. 5x |

front 17 Evaluate the integral. | back 17 2 - √2 |

front 18 The acceleration function of a body moving along a coordinate line is a(t) = -7 cos 2t - 8 sin 2t t ≥ 0 Find its velocity and position functions at any time t if it is located at the origin and has an initial velocity of 4 m/sec. | back 18 v(t) = -7/2 sin 2t + 4 cos 2t, s(t) = 7/4 cos 2t + 2 sin 2t - 7/4 |

front 19 Find the indefinite integral. | back 19 2/15(3x + 16)√(x-8) |

front 20 Show by interpreting the definite integral geometrically. | back 20 A sketch of the area between the curve and the x-axis, shows that the area below the x-axis is equal to the area above the x-axis. |

front 21 The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find a lower estimate for the distance that she traveled during these three seconds. | back 21 17.65 |

front 22 By reading values from the given graph of f, use five rectangles to find a lower estimate, to the nearest whole number, for the area from 0 to 10 under the given graph of f. | back 22 21 |

front 23 Approximate the area under the curve y = 2/x | back 23 0.93 |

front 24 The velocity graph of a braking car is shown. Use it to estimate to the nearest foot the distance traveled by the car while the brakes are applied. Use a left sum with n = 7. | back 24 19 |

front 25 Find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = √sin x, 0 ≤ x ≤ π | back 25 |

front 26 If f(x) = √x-4, 1≤x≤6, find the Riemann sum with n = 5 correct to 3 decimal places, taking the sample points to be midpoints. | back 26 -10.857 |

front 27 A table of values of an increasing function f(x) is shown. Use the table to find an upper estimate of: | back 27 -210 |

front 28 Express the limit as a definite integral on the given interval. | back 28 |

front 29 Find the area of the region that lies under the given curve. y = sin x, 0 ≤ x ≤ π/2 | back 29 1 |

front 30 Express the sum as a single integral in the form | back 30 |

front 31 Find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = √sin x, 0 ≤ x ≤ π | back 31 |

front 32 | back 32 43.2 |

front 33 Find the limit. | back 33 3 |

front 34 | back 34 f(x) = 4x |

front 35 Evaluate the integral. | back 35 7√3/3 + π/6 |

front 36 Find the area of the region that lies to the right of the y-axis and
to the left of the parabola x = 3y - y | back 36 9/2 |

front 37 Evaluate the integral. | back 37 1/3 arctan (e |

front 38 Evaluate the definite integral. | back 38 -6 |

front 39 Evaluate the integral. | back 39 7.5 |

front 40 Evaluate the integral. | back 40 193/9 |

front 41 Approximate the area under the curve y = sin x from 0 to π/2 using 8
approximating rectangles of equal widths and right endpoints. The
choices are rounded to the nearest hundredth. | back 41 b |

front 42 Evaluate the integral by interpreting it in terms of areas. | back 42 a |

front 43 Evaluate a. e | back 43 c |

front 44 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. a. √x+1/x | back 44 c |

front 45 Find the derivative of the function. a. - 2x/(x | back 45 d |

front 46 An animal population is increasing at a rate of 13 + 51t per year
(where t is measured in years). By how much does the animal population
increase between the fourth and tenth years? | back 46 a |

front 47 Evaluate the integral. | back 47 c |

front 48 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. v(t) = 8t - 8, 0 ≤ t ≤ 5 a. 36 m | back 48 e |

front 49 a. 175/6 | back 49 d |

front 50 Find the indefinite integral a. 3/7 x | back 50 a |

front 51 Evaluate the definite integral. | back 51 a |

front 52 Find the indefinite integral. a. 2x + 5/4x | back 52 d |

front 53 Find the indefinite integral a. x | back 53 b |

front 54 Find the integral. | back 54 a |

front 55 Evaluate the indefinite integral. | back 55 e |

front 56 Evaluate the integral by making the given substitution. | back 56 d |

front 57 Evaluate the integral. ∫2 sin x cos(cos x) dx a. -2cos(sin x) + C | back 57 d |

front 58 Find the integral. ∫tan a. 1/7 sec | back 58 a |

front 59 Find the integral using an appropriate trigonometric substitution. ∫x√9-x a. 1/3 x | back 59 b |

front 60 Find the integral using an appropriate trigonometric substitution. ∫x a. 1/3 (x | back 60 c |

front 61 a. 7 | back 61 d |

front 62 a. 18 | back 62 a |

front 63 The given expression is the limit of a Riemann sum of a function f on [a, b]. Write this expression as a definite integral on [a, b]. | back 63 d |

front 64 | back 64 c |

front 65 | back 65 c |

front 66 Evaluate the integral. | back 66 c |

front 67 The marginal cost of manufacturing x yards of a certain fabric is C in dollars per yard. Find the increase in cost if the production
level is raised from 1500 yards to 5500 yards. | back 67 b |

front 68 The acceleration function (in m/s a(t) = t + 4, v(0) = 6, 0 ≤t ≤ 10 a. v(t) = t | back 68 d |

front 69 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. | back 69 a |

front 70 a. 175/6 | back 70 d |

front 71 Find the area of the region under the graph of f on [a, b]. f(x) = x a. 3 | back 71 c |

front 72 a. 6.25 | back 72 d |

front 73 Find the indefinite integral. ∫(4 - 7x a. 3/7 x | back 73 a |

front 74 Find the indefinite integral. ∫cot a. cos | back 74 d |

front 75 Evaluate the integral by making the given substitution. | back 75 d |

front 76 Evaluate the indefinite integral. | back 76 c |

front 77 Find the indefinite integral. ∫1-cos a. sin x + C | back 77 d |

front 78 Evaluate the integral. ∫2 sin x cos(cos x) dx a. -2cos(sin x) + C | back 78 d |

front 79 Find the integral. | back 79 a |

front 80 Find the integral using an appropriate trigonometric substitution. | back 80 a |

front 81 Estimate to the hundredth the area from 1 to 5 under the graph of
f(x) = 5/x using four approximating rectangles and right endpoints.
Select the correct answer. | back 81 a |

front 82 Determine a region whose area is equal to | back 82 y = tan x, 0 ≤ x ≤ π/5 |

front 83 Approximate the area under the curve y = sin x from 0 to π/2 using 7 approximating rectangles of equal widths and right endpoints. The choices are rounded to the nearest hundredth. | back 83 1.11 |

front 84 Evaluate the integral by interpreting it in terms of areas. | back 84 9/2 π |

front 85 Evaluate the integral. Select the correct answer. | back 85 d |

front 86 Evaluate the integral. | back 86 36 |

front 87 Estimate the area from 0 to 5 under the graph of f(x) = 16 -
x | back 87 a |

front 88 If h | back 88 |

front 89 Find the indefinite integral. ∫(8 - 7x | back 89 4/7 x |

front 90 Evaluate the definite integral. Select the correct answer. | back 90 b |

front 91 Find the indefinite integral. ∫(9 - 7x | back 91 1/2 x |

front 92 Find the integral. ∫xe | back 92 1/49 (7x - 1)e |

front 93 Find the integral using an appropriate trigonometric substitution. ∫x/√16-x | back 93 - √16-x2 + C |

front 94 Find the integral. ∫x tan | back 94 1/7 x tan 7x + 1/49 ln|cos 7x| - 1/2 x |

front 95 Evaluate the indefinite integral. Select the correct answer. ∫5e a. -5sin(e | back 95 c |

front 96 Find the area of the region that lies under the given curve. Round the answer to three decimal places. y = √5x+2, 0 ≤ x ≤ 1 | back 96 2.092 |

front 97 Find the indefinite integral. Select the correct answer. 2x(4x a. 2x | back 97 b |

front 98 Find the integral. ∫sin | back 98 - 1/9 cos |

front 99 Find the integral. ∫tan | back 99 1/5 sec |

front 100 Find the integral. Select the correct answer. ∫tan a. 1/7 tan | back 100 a |

front 101 Approximate the area under the curve y = sinx x from 0 to π/2 using 8
approximating rectangles of equal widths and right endpoints. The
choices are rounded to the nearest hundredth. | back 101 b |

front 102 Evaluate the Riemann sum for f(r) = 6 - r | back 102 c |

front 103 Evaluate the integral. | back 103 33.5 |

front 104 The given expression is the limit of a Riemann sum of a function f on [a, b]. Write this expression as a definite integral on [a, b]. | back 104 |

front 105 | back 105 -5 |

front 106 Find the area of the region that lies beneath the given curve. Select the correct answer. y = sin x, 0 ≤ x ≤ π/3 a. 1.500 | back 106 e |

front 107 Find the derivative of the function. | back 107 1/x |

front 108 Evaluate the integral. Select the correct answer. | back 108 c |

front 109 Evaluate the integral. | back 109 0.340 |

front 110 Evaluate the limit by interpreting it as the limit of a Riemann sum of a function on the interval [a, b]. | back 110 243/5 |

front 111 The marginal cost of manufacturing x yards of a certain fabric is C in dollars per yard. Find the increase in cost if the production
level is raised from 1500 yards to 5500 yards. | back 111 b |

front 112 Evaluate the integral if it exists. ∫(5-x/x) | back 112 x - 10 ln x - 25/x + C |

front 113 Evaluate the integral. | back 113 -0.400 |

front 114 Find the indefinite integral. ∫(5 - 8x | back 114 3/7 x |

front 115 Find the integral. ∫x sin 5x dx | back 115 1/25 (sin5x - 5x cos 5x) + C |

front 116 Find the integral. Select the correct answer. ∫x tan a. 1/2 x tan5x + 1/5 ln|cos5x| - 1/2 x | back 116 c |

front 117 Evaluate the integral. | back 117 π/24 |

front 118 Evaluate the indefinite integral. ∫7e | back 118 -7e |

front 119 Find the indefinite integral. ∫1-cos | back 119 -cos x + C |

front 120 Find the integral. ∫tan | back 120 1/7 sec |

front 121 Use the Midpoint Rule with n = 10 to approximate the integral. Select
the correct answer. | back 121 e |

front 122 | back 122 3√2 |

front 123 Find the area of the region that lies beneath the given curve. y = sin x, 0 ≤ x ≤ π/3 | back 123 0.500 |

front 124 Find the derivative of the function. | back 124 1/x |

front 125 Find the general indefinite integral. Select the correct answer. ∫sin40t/sin20t dt a. -cos40t/40 + C | back 125 b |

front 126 Evaluate the integral. | back 126 2π/3 |

front 127 Evaluate the integral. Select the correct answer. | back 127 b |

front 128 Evaluate the integral. | back 128 24.4 |

front 129 If h | back 129 |

front 130 Evaluate the definite integral. | back 130 0.188 |

front 131 Find the integral using an appropriate trigonometric substitution. ∫x/√4-x | back 131 -√4-x2 + C |

front 132 Find the integral. Select the correct answer. ∫x a. 1/64 x | back 132 c |

front 133 Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calculators after t weeks is dx/dt = 5700(1 - 140/(t+20) calculators per week. Production approaches 5,700 per week as time goes on, but the initial production is lower because of the workers' unfamiliarity with the new techniques. Find the number of calculators produced from the beginning of the third week to the end of the fourth week. Round the answer to the nearest integer. | back 133 8377 |

front 134 Evaluate the indefinite integral. ∫cos | back 134 - 1/9 cos |

front 135 Evaluate the integral by making the given substitution. ∫x | back 135 2/9 (x |

front 136 Evaluate the indefinite integral. Select the correct answer. ∫7+12x/√7+7x+6x2 dx a. 2 √7+7x+6x | back 136 a |

front 137 Find the integral using the indicated substitution. ∫tan | back 137 1/7 tan |

front 138 Find the indefinite integral. ∫5x/√5-x2 dx | back 138 -5√5-x2 + C |

front 139 Find the integral. ∫cos | back 139 1/5 sin |

front 140 Find the integral. ∫tan | back 140 1/7 tan |

front 141 Estimate to the hundredth the area from 1 to 5 under the graph of f(x) = 4/x using four approximating rectangles and right endpoints. | back 141 5.44 |

front 142 Find the area of the region under the graph of f on [a, b]. f(x) = x | back 142 6 |

front 143 Use the Midpoint Rule with n = 5 to approximate the integral. Select
the correct answer. Round your answer to three decimal places.
| back 143 d |

front 144 The given expression is the limit of a Riemann sum of a function f on [a, b]. Write this expression as a definite integral on [a, b]. Select the correct answer. | back 144 d |

front 145 | back 145 |

front 146 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. | back 146 √x/2(x2+1) |

front 147 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. Select the correct answer. | back 147 c |

front 148 | back 148 |

front 149 Evaluate the integral. Select the correct answer. | back 149 a |

front 150 Find the general indefinite integral. ∫sin120t/sin60t dt | back 150 sin60t/30 + C |

front 151 The marginal cost of manufacturing x yards of a certain fabric is C in dollars per yard. Find the increase in cost if the production level is raised from 1500 yards to 5500 yards. | back 151 $198,000.00 |

front 152 Evaluate the integral. Select the correct answer. | back 152 c |

front 153 Find the indefinite integral. ∫(4 - 7x | back 153 3/7 x |

front 154 Find the integral. ∫x sin5x dx | back 154 1/25 (sin5x - 5xcos5x) + C |

front 155 Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calculators after t weeks is dx/dt = 5700(1 - 130/(t+18) calculators per week. Production approaches 5,700 per week as time goes on, but the initial production is lower because of the workers' unfamiliarity with the new techniques. Find the number of calculators produced from the beginning of the third week to the end of the fourth week. Round the answer to the nearest integer. | back 155 e |

front 156 Evaluate the integral by making the given substitution. ∫x | back 156 2/9 (x |

front 157 Evaluate the integral if it exists. | back 157 none of these |

front 158 Find the indefinite integral. Select the correct answer. ∫(x a. -2(x | back 158 d |

front 159 Evaluate the integral. ∫2sin x cos(cos x) dx | back 159 -2sin(cos x) + C |

front 160 Find the integral using an appropriate trigonometric substitution. Select the correct answer. ∫x √9-x a. 1/3 x | back 160 b |