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!