Q&A Hero

Q: The average monthly precipitation P (in inches), including rain, snow, and ice, for Sacramento, California can be modeled by where is the time (in months), with corresponding to January. Find the total annual precipitation for Sacramento. A) in. B) in. C) in. D) in. E) in.

Q: Use integration by parts to find the indefinite integral. A) B) C) D) E)

Q: Find the indefinite integral. A) B) C) D) E)

Q: Find the indefinite integral. A) B) C) D) E)

Q: Find the indefinite integral of . A) B) C) D) E)

Q: Find the indefinite integral of . A) B) C) D) E)

Q: Find the indefinite integral of the following function. A) B) C) D) E)

Q: Find the indefinite integral of the following function. A) B) C) D) E)

Q: Suppose that the numbers W (in thousands) of construction workers employed in the United States during 2006 can be modeled by where t is the time in months, with corresponding to January 1. Approximate the month t in which the number of construction workers employed was a maximum. What was the maximum number of construction workers employed? Round your answer to nearest hundredth. A) July; The maximum number of construction workers employed is 9559. B) May; The maximum number of construction workers employed is 9539. C) June; The maximum number of construction workers employed is 9539. D) May; The maximum number of construction workers employed is 9549. E) June; The maximum number of construction workers employed is 9549.

Q: The normal average daily temperature in degrees Fahrenheit for a city is given by where t is the time in days, with corresponding to January 1. Find the warmest day. A) March 16 B) March 15 C) April 16 D) April 15 E) April 14

Q: Determine the relative extrema of the function on the interval . A) relative minimum: relative maximum: B) relative minimum: relative maximum: C) relative minimum: relative maximum: D) relative minimum: relative maximum: E) relative minimum: relative maximum:

Q: Determine the relative extrema of the function on the interval . A) relative minimum: relative maximum: B) relative minimum: relative maximum: C) relative minimum: relative maximum: D) relative minimum: relative maximum: E) relative minimum: relative maximum:

Q: Find the derivative of the function and simplify your answer by using the trigonometric identities. A) B) C) D) E)

Q: Find an equation of the tangent line to the graph of the function at the given point. A) B) C) D) E)

Q: Find the derivative of the function and simplify your answer by using the trigonometric identities A) B) C) D) E)

Q: Find the derivative of the function. A) B) C) D) E)

Q: Find the derivative of the function. A) B) C) D) E)

Q: For a person at rest, the velocity v (in liters per second) of air flow into and out of the lungs during a respiratory cycle is given by , where t is the time in seconds. Inhalation occurs when and exhalation occurs when . Find the time for one full respiratory cycle. A) seconds B) seconds C) 18 seconds D) seconds E) 9 seconds

Q: Match the function below with the correct graph. A) B) C) D) E)

Q: Find a and d for such that the graph of f matches the figure. A) B) C) D) E)

Q: Sketch the graph of the function .A)B)C)D)E)

Q: Sketch the graph of the function .A)B)C)D)E)

Q: Sketch the graph of the function .A)B)C)D)E)

Q: Find the period of the trigonometric function. A) B) C) D) E)

Q: Find the period of the trigonometric function. A) B) C) D) E)

Q: Find the derivative of the trigonometric function. A) B) C) D) E)

Q: Find the period and amplitude of the function . A) Period:; Amplitude:3B) Period:; Amplitude:C) Period:; Amplitude:D) Period:; Amplitude: 3E) Period:; Amplitude:

Q: Find the period and amplitude of the function . A) period:; amplitude: 6B) period:; amplitude: 3C) period:; amplitude: 3D) period:; amplitude: 6E) period:; amplitude: 3

Q: In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 4.5. After you drive 13 miles closer to the mountain, the angle of elevation is 11. Approximate the height of the mountain. Round your answer to two decimal places. A) 45.50 miles B) 8.84 miles C) 1.94 miles D) 1.72 miles E) 17.69 miles

Q: A 21-foot ladder leaning against the side of a house makes a 78angle with the ground (see figure). How far up the side of the house does the ladder reach? Round your answer to four decimal places. A) 20.5411 feetB) 21.4692 feetC) 4.3661 feetD) 4.4637 feetE) 101.0044 feet

Q: Solve the equation below for . For some of the equations you should use the trigonometric identities listed in this section. Use the trace feature of a graphing utility to verify your results. A)B)C)D)E)

Q: Solve the equation below for . For some of the equations you should use the trigonometric identities listed in this section. Use the trace feature of a graphing utility to verify your results. A)B)C)D)E)

Q: Solve the equation for . For some of the equations you should use the trigonometric identities listed in this section. Use the trace feature of a graphing utility to verify your results. A)B)C)D)E)

Q: Find two values of q that satisfy the equation below. Give values of q in radians . Do not use a calculator. sin q = A) B) C) , D) E)

Q: Find two values of q that satisfy the equation below. Give values of q in radians . Do not use a calculator. cos q = A) B) , C) D) E)

Q: Use a calculator to evaluate the trigonometric function to four decimal places.A) -1.3504B) -5.6713C) -0.7405D) 0.9848E) -0.1763

Q: Approximate using a calculator (set for radians). Round answers to two decimal places. A) 0.78B) 0.14C) -0.62D) -0.99E) -1.00

Q: Evaluate without using a calculator, leaving the answers in exact form. A) B) C) 0 D) E)

Q: Evaluate without using a calculator, leaving the answers in exact form. A) B) C) 0D) -1E)

Q: Evaluate without using a calculator. A) B) C) D) E) 0

Q: Determine the quadrant in which lies if sin q > 0 and cos q < 0. A) third quadrant B) second quadrant C) fourth quadrant D) first quadrant E) first or third quadrants

Q: Find given that and . A) B) C) D) E)

Q: From the given function , find the following trigonometric function. A) B) C) D) E)

Q: Find the cosine of . A) B) C) D) E)

Q: Find the cosine of . A) B) C) D) E)

Q: Find from the given graph. A) B) C) D) E)

Q: Find the cosine of . A) B) C) D) E)

Q: A sector of a circle is the region bounded by two radii of the circle and their intercepted arc (see figure). For a circle of radiusthe areaof a sector of the circle with central angle(measured in radians) is given by. A sprinkler system on a farm is set to spray water over a distance of feet and rotates through an angle of . Use the above given information to find the area of the region. Round your answer to two decimal places.A) 2828.57B) 257.14C) 2700.00D) 1414.29E) 9900.00

Q: A compact disc can have an angular speed up to 3160 radians per minute. At this angular speed, how many revolutions per minute would the CD make? Round your answer to the nearest integer. A) 123 B) 144 C) 923 D) 503 E) 72

Q: A guy wire is stretched from a broadcasting tower at a point 300 feet above the ground to an anchor 175 feet from the base (see figure). How long is the wire? A) 347.31 feetB) 173.66 feetC) 243.67 feetD) 121.83 feetE) 237.50 feet

Q: Find the area of the equilateral triangle with sides of length in. Round your answer to two decimal places. A) 6.00 square inches B) 27.71 square inches C) 6.93 square inches D) 8.00 square inches E) 24.00 square inches

Q: Solve the triangle for the indicated side. A) side B) side C) side D) side E) side

Q: Solve the triangle for the indicated angle. A) angle 40B) angle 90C) angle 140D) angle 50E) angle 130

Q: Solve the triangle for the indicated side and angle. A) angle 60 side B) angle 30 side C) angle 45 side D) angle 60 side E) angle 40 side

Q: Find the degree measure of the given angle. A) 50.0o B) 315.0o C) 51.4o D) 102.9o E) 100.3o

Q: Find the radian measure of the given angle. 750o A) B) C) D) E)

Q: Find the radian measure of the given angle. 150o A) B) C) D) E)

Q: Determine two coterminal angles (one positive and one negative) for each angle. Give the answers in radians. A) positive: negative: B) positive: negative: C) positive: negative: D) positive: negative: E) positive: negative:

Q: The Cobb-Douglas production function for an automobile manufacturer is where x is the number of units of labor and y is the number of units of capital. Estimate the average production level if the number of units of labor x varies between 250 and 300 and the number of units of capital y varies between 250 and 300. A) 20.99 B) 21.10 C) 10.99 D) 31.44 E) 31.24

Q: A company sells two products whose demand functions are given by and . So, the total revenue is given by . Estimate the average revenue if the price varies between $45 and $70 and the price varies between 45 and 70. A) $ 52,725 B) $ 54,875 C) $ 52,223 D) $ 53,740 E) $ 55,285

Q: Find the average value of over the region R: square with vertices . A) B) C) D) E)

Q: The population density (in people per square mile) for a coastal town can be modeled by where x and y are measured in miles. What is the population inside the rectangular area defined by the vertices and ? Round to the nearest integer.A) 12,833 peopleB) 32,500 peopleC) 21,667 peopleD) 11,833 peopleE) 10,833 people

Q: Use a double integral to find the volume of the solid bounded by the graphs of the equations . A) B) C) D) E)

Q: A firm's weekly profit (in dollars) in marketing two products is given by where and represent the numbers of units of each product sold weekly. Estimate the average weekly profit when varies between 40 and 50 units and varies between 45 and 50 units. A) B) C) D) E)

Q: Use a double integral to find the volume of the solid bounded by the graphs of the equations. A) B) C) D) E)

Q: Use a double integral to find the volume of the indicated solid. A) B) C) D) E) none of the above

Q: Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R. A) B) C) D) E)

Q: Sketch the region of integration .A)B)C)D)E)

Q: Use a symbolic integration utility to evaluate the double integral. A) 8.1747 B) 9.1211 C) 6.2031 D) 7.88.7522 E) 9.4362

Q: Use a double integral to find the area of the region bounded by the graphs of and . A) B) C) D) E)

Q: Use a double integral to find the area of the region bounded by the graphs of and . A) B) C) D) E)

Q: Sketch the regionwhose area is given by the following double integral. A)B)C)D)E)

Q: Evaluate the double integral . A) B) C) D) E)

Q: Evaluate the double integral . A) B) C) D) E)

Q: Evaluate the double integral . Round your answer to two decimal places, where applicable. A) 69.75 B) 184.25 C) 192.25 D) 191.25 E) 184.75

Q: Evaluate the double integral . Round your answer to two decimal places, where applicable. A) 48.50 B) 68.50 C) 49.50 D) 58.50 E) 24.00

Q: Evaluate the double integral . A) 92.00 B) 102.00 C) 112.00 D) 29.50 E) 17.00

Q: Evaluate the following integral. A) B) C) D) E) none of the above

Q: A store manager wants to know the demand y for an energy bar as a function of price x. The daily sales for three different prices of the energy bar are shown in the table. Price, x $ 1.00 $ 1.25 $ 1.54 Demand, y 450 335 300 (i) Use the regression capabilities of a graphing utility to find the least squares regression line for the data. (ii) Use the model to estimate the demand when the price is $1.39. Price, x $ 1.00 $ 1.25 $ 1.54 Demand, y 450 335 300 A) (i) ; (ii) 357.97832 B) (i) ; (ii) "436.133926 C) (i) ; (ii) 525.880529 D) (i) ; (ii) "436.133926 E) none of the above

Q: Use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the points . Round your answer to three decimal places. A) B) C) D) E)