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Calculus
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Solve this calculus problem. d t 4 ( tan 1 t ) ( 1 + t 2 ) A. I n 4 tan 1 t + C B. 4 cot 1 t + C C. 1 4 I n tan 1 t + C D. 1 4 ( tan 1 t ) 2 + C
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Evaluate the integral: integral of (dx)/(x^2 + 2x + 17).
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Calculus
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Evaluate ? x y z ? c o s ( y z ) d y + x z d z over the line segment from (1,1,1) to (-2,1,3)
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Calculus
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A trailer rental agency rents 14 trailers per day at a rate of $36 per day. It discovers that for each $6 increase in rate, one fewer trailer is rented. Determine the maximum income the rental agency can obtain.
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Calculus
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Using the Intermediate Value Theorem and a calculator, find an interval of length 0.01 that contains a root of e^x = 2 – x, rounding interval endpoints off to the nearest hundredth. [{Blank}] less than x less than [{Blank}].
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Calculus
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You are the chief dispatcher for the C&M Trucking Company, which sends Mack trucks on the straight shot be New Orleands on Interstate 57. 1. The run between the two cities is 750 miles. 2. Running at
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Calculus
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A tower of blocks has 1 block in the top row, 4 blocks in the next row, 7 blocks in the next row, an so on. There are 5 rows in all. How many blocks are in the tower?
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Calculus
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An athlete can run long distances at 4 metres per second. How far can she run in 50 seconds? What about in 1 hour?
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Calculus
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A total of 2000 square feet is to be enclosed in two pens. The outside walls are to be constructed of brick, and the inner dividing wall is to be constructed of chain link. The brick wall costs $10 per linear foot and the chain-link costs $5 per linear fo
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Calculus
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A rectangular art canvas must have an area of 150 square inches. Find the dimensions of the canvas that will minimise the perimeter.
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Calculus
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Each month an automobile dealer makes a profit of $200 on each car that she sells if not more than 50 cars are sold. For every car above 50 that she sells her profit per car is decreased by $2.
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Calculus
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An open-top box is to be made from a square piece of cardboard that measures 24 inches by 24 inches by removing a square from each corner and folding up the sides. What are the dimensions and volume o
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Calculus
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A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance Girth around) does not exceed 108 inches. Suppose you want to mail a box with squar
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Calculus
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A T-shirt shop carries two competing shirts, one endorsed by Tim Duncan and the other by LeBron James. The owner of the store can obtain both types at a cost of $2 per shirt and estimates that if Duncan shirts are sold for x dollars apiece and James shirt
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Calculus
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A differential equation is considered to be ordinary if it has: a. more than one dependent variable. b. more than one independent variable. c. one dependent variable. d. one independent variable.
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Calculus
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Suppose that at the beginning of the year, a Vermont maple syrup distributor found that the demand for maple syrup, sold at $15 a quart, was 500 quarts each month. At that time, the price was going up at a rate of $0.50 a month, but despite this, the dema
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Calculus
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ou have 200 feet of fencing available to construct a rectangular pen with a fence divider down the middle as shown below. What dimensions of the pen enclose the largest total area?
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Calculus
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A garden store prepares various grades of pine bark for mulch: nuggets (x1), mini-nuggets (x2), and
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Calculus
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A typical human diet is “2000 Calories” per day, where the “Calorie” describing food energy is actually 1000 calories = 1 kilocalorie. 1 calorie = 4.184 J. Express 2000 kcal/day in watts.
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Calculus
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A 900 Ohm resistor and another resistor of variable resistance R are connected in parallel to create an equivalent resistance of Req = (1/900 + 1/R)-1. (a) Find dReq/dR. (b) Find Req if R = 300 Ohms. Round your answer to at least 3 significant figures. (c
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Calculus
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A manufacturer of food-storage containers makes a cylindrical can with a volume of 500 milliliters. What dimensions (height and radius) will minimize the material
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Calculus
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The graph of a function is given below: (a) Determine the net change between the indicated points on the graph. (b) Determine the average rate of change between the indicated points on the graph.
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Calculus
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A garbage can is in the shape of a cylinder with no lid. It needs to have a volume of 5000 cm^3. What will be the radius and height of the can that uses the least amount of material to construct it?
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Calculus
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Mary has two bags of nuts; one with 78 percent peanuts, and the other with18 percent peanuts. to make a 10 lb bag of 41 percent peanuts, how much of each should mary use?
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Calculus
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According to inventory records at a shoe store, the number of pairs of sandals (in hundreds) in stock can be \approx imated by S(x)=9x+175x+5 where x is the number of days since the start of the season. For the start of the season, find the number of pairs
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Calculus
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A zip-line steel cable is being constructed for a reality television competition show. The high end of the zip-line is attached to the top of a 50-foot pole while the lower end is anchored at ground level to a stake 50 feet from the base of the pole.
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Calculus
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A jewelry box with a square base is to be built with copper plated sides, nickel plated bottom and top, and a volume of 40 cm^3. If nickel plating costs $2 per cm^2 and copper plating costs $1 per cm^
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Calculus
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Determine the real root of f(x)=5x^3-5x^2+6x-2 ; (a) Graphically (b) Using bisection to locate the root. Employ initial guesses of xl=0 and xu=1 and iterate until the estimated error ea falls below
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Calculus
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Use Newton s method to \approx imate ln 2 .
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Calculus
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The average lifespan of humans is \approx imately 60 yrs and the average times a heart beats is \approx imately 60 beats per min. \approx imately how many heartbeats are there in a lifetime?
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Calculus
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y”’ – 3y” + 3y’ – y = e^t + 1 Solve using the Method of Undetermined Coefficients.
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Calculus
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Calculate the derivative of f(x) = (e^x + 1) tan x.
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Calculus
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Find:Use MAPLE software. Plot the graph of the function y=x^3+x+1 check answer using fsolve() command Use MAPLE for this assignment. Your report must be in the form of a printed MAPLE worksheet with
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Calculus
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Suppose that a large mixing tank initially holds 500 gallons of pure water. a brine is pumped into the tank at a rate of 5 gal per min with a concentration of 2 pounds of salt per gallon. If the well
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Calculus
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A 10 feet tall fence runs parallel to the wall of a house at a distance of 4 feet. Find the length of the shortest ladder that extends from the ground to the house without touching the fence. Assume t
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Calculus
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One pump can fill a pool in 12 hr. Working with a second slower pump, the pumps together can fill the pool in 8 hr. How fast can the second pump fill the pool by itself?
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Calculus
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The Sunrise Corporation operates car rental agencies at more than 20 airports. Customers can choose from one of three contracts for car rentals of one day or less: Contract 1: $45 for the day Contra
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Calculus
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American Airlines requires that the total outside dimensions (length + width + height) of a carry-on bag not exceed 45 inches. Suppose you want to carry on a bag whose length is twice its height. What is the largest volume bag of this shape that you can c
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Calculus
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Find the first partial derivatives of f(x,y)=frac{4x – 4y}{4x + 4y} at the point (x,y) = (2, 4). Find \frac{partial f}{partial x} (2,4). Find \frac{partial f}{partial y} (2,4).
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Calculus
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A local club is arranging a charter flight to Hawaii. The cost of the trip is $532 each for 84 passengers, with a refund of $5 per passenger for each passenger in excess of 84. a. Find the number of passengers that will maximize the revenue received from
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