A hemispherical open tank used for concentration of sulfuric acid (specific gravity = 1.25) is filled up to the rim. If the tank has a radius of 3m, determine the work done in kilojoules after pumping the tank of all acid to another tank situated on a flat form 3m above the rim of the lower tank. 3,628.35 KJ 4,635.74 KJ 2,860.39 KJ 1,856.33 KJ When the corresponding elements of two rows of a determinant are proportional, then the value of the determinant is zero multiplied by the ratio one unknown Water drains from a hemispherical basin of diameter 20 inches at the rate of 3 cu.in. per second. How fast is the water level falling when the depth of water is 5 inches? 0.48 in/min 0.83 in/min 0.76 in/min 0.65 in/min If a 3 x 3 matrix and its inverse are multiplied, write the product. A. [1 0 0; 0 1 0; 0 0 1] B. [0 0 0; 0 0 0; 0 0 0] C. [0 0 1; 0 1 0; 1 0 0] D. [1 1 1; 1 1 1; 1 1 1] The vector j^5E is the same as vector A. jE B. j^2E C. j^3E D. j^4E Evaluate 5 cos30 deg + j5sin30 deg + 2e^(j0.752) - (3 + j5). A. 3.012 bar (-22.11 deg) B. 30.12 bar (22.11 deg) C. 3.012 bar (45 deg) D. -3.012 bar (22.11 deg) The general second degree equation has the form Ax^2+Bxy+Cy^2+Dx+Ey+F=0. If B^2-4AC>0, the equation describes circle a parabola an ellipse a hyperbola The position of the particle in inches along the x-axis is given by the expression x(t) = 24t2 t3 + 10. Determine the average velocity of the particle in inches per second at t = 3 sec. 63 72 36 54 Express as the product of a real number and i. i 2i -2i -2 In quadratic formula, if b2 4ac = 0, roots are real and equal complex and equal real and unequal imaginary or complex Five horses are in a race. Aubrey picks 2 of the horses in random and bets on them. Find the probability that Aubrey picked the winner. 1/5 ½ 2/5 4/5 The points A(0, 0), B(6, 0), and C(4, 4) are vertices of triangle. Which of the following is an equation of one of the medians? 2x 5y = 4 2x 5y = 0 2x + 5y = 0 2x + 5y = 4 Find the laplace transform of cos at. a/(1 + a)2 s/(s2 + a2) a/(s2 + a2) s/(1 + a2) Find the equation of the line through point (7, 0) perpendicular to the line 9x+y 3=0. x + 9y 7 = 0 x 9y 7 = 0 9x + y 7 = 0 9x + y + 7 = 0 If (5X-3), (X+2) and (3X-11) form an arithmetic progression, find the fifteenth term. -86 -79 -81 -84 Find the equation to which will be transformed by a rotation of 300. x2 + 3y2 = 2 x2 + 5y2 = 4 x2 7y2 = 4 5x2 + 3y2 = 4 Find the maximum point of the curve x2y = x3 4. (2, 3) (-3, -2) (3, 2) (-2, -3) At what point on the y-axis does the line segment joining (1,1) and (9,7) subtend the greatest angle? y=3 y=2 y=4 y=5 What is the area enclosed by y=3x^2+2x+4, x=2 and the axes. 16 24 20 1 A book shelf contains books A,B,C,D,E. How many ways can the books be arranged if books C and D are on the right side of the shelf. 2!3! 4! 3! 4!