Find the length of the sub-normal of the curve x² - y + 1 = 0 at the point where the abscissa is 2., 10, 15, 20, 25, What is the longest 6' wide shuffleboard court which will fit in a 20' x 30' rectangular room?, 28 3/16 ft, 30 7/8 ft, 32 7/8 ft, 36 3/16 ft, A rectangular picture, each of whose dimensions are integral number of inches, has an ordinary rectangular frame 1 inch wide. Find the sum of the areas of picture and frame if the area of the picture and the area of the frame are equal., 24 in², 28 in², 48 in², 56 in², What time between 2 and 3 o'clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o'clock mark?, 2:16:00.0, 2:17:56.3, 2:18:27.6, 2:19:03.1, An open-top hemispherical tank having a radius of 1.2 m, full of water, is being drained by a vertical pipe whose exit end is 0.8 m above the top of the tank. How much work is done in emptying the full content of the tank?, 24.78 kJ, 32.54 kJ, 44.38 kJ, 75.42 kJ, A farmer owned a square field measuring exactly 2261 yards on each side. 1898 yards from one corner and 1009 yards from an adjacent corner stood a beech tree. A neighbor offered to purchase a triangular portion of the field, stipulating that a fence should be erected in a straight line from one side of the field to an adjacent side so that the beech tree was part of the fence. The farmer accepted the offer but made sure that the triangular portion was a minimum area. How long was the fence?, 2017 yards, 2018 yards, 2019 yards, 2020 yards, Find the slope of r = sin² at θ = π/4., 0, 1, 2, 3, Determine the differential equation of a family of lines passing through (h, k)., (y - k) dx + (x - h) dy = 0, (y - k) dx - (x - h) dy = 0, (x - h) dx + (y - k) dy = 0, (x - h) dx - (y - k) dy = 0, A parabola has an equation of y² = 8x. Find the equation of the diameter of the parabola, which bisect chords parallel to the line x - y = 4., y = 1, y = 2, y = 3, y = 4, Which day of the week cannot be the first day of a century? (The first day of the twentieth century was January 1, 1901)., Monday, Tuesday, Wednesday, Saturday, Find an equation of the line through point (3 , 5) that cuts off the least area from the first quadrant., 3x + 5y = 34, 4x + 6y = 42, 5x + 3y = 30, 6x + 4y = 38, Find the equation of the tangent line to the curve y = e^x / (1 + x²) at the point (1, e/2)., x = e/2, y = e/2, x = y + e/2, y = x + e/2, What is the equation of the curve passing through the point (3 , -2) and having a slope at any point (x , y) equal to (x² + y²) / (y³ - 2xy)?, 4x³ + 2xy² - 13y⁴ = -76, 4x³ + 10xy² - 3y⁴ = 180, 4x³ + 2xy² - 13y⁴ = 44, 4x³ + 2xy² - 3y⁴ = 204, There are n points on a circle. A straight line-segment is drawn between each pair of points. How many intersections are there the circle if no 3 lines are concurrent?, nC3, nP3, nC4 / 24, nP4 / 24, A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the deck, positioned 6 meters higher than the boat. If the rope is being pulled in at a rate 3 m/s, how fast is the boat approaching the dock when there is 10 meters of rope out?, 3.75 m/s, 4.32 m/s, 5.81 m/s, 6.24 m/s, Which of the following is equal to √i?, e^πi/4, 1 angle 45°, 0.5√2(1 + i), all of the above, Find the directional derivative of f(x, y) = x²y³ - y⁴ at (2, 1) in the direction of π/4., 4.88, 5.88, 8.48, 8.58, Given that x, y € N, solve for x from: | √x + y = 7 | x + √y = 11 | ], 2, 3, 4, 9, Given that: | f(x) = 7x - 2, if x ≥ 2 & 3x + 5, if x < 2 | Find lim f(x) x -» 2›, 0, 11, 12, does not exist, If f(x, y) = sinx + e x^xy, find the gradient of f at (0, 1)., i, j, 2i, 2j, The cross-product A×B = 0 and the dot product A•B = 30. If A = 4i + 2j, find B., 6i + 3j, 6i - 3j, - 6i + 3j, - 6i - 3j

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