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WorksheetsProf Math 2
Total questions: 39
Worksheet time: 20mins
Evaluate: f(n) = 2n^3 for n = 2
16
13
10
8
Find the slope of line passing through the points (2, 3) and (3, -1).
3
-4
-3
4
Find the range of the function of y = 3x – 5
y > 5
all real numbers
y < 3
y is not equal to
Find the direction numbers for the line that joins the points (1, 3, 4) and (-2, 3, 7)
[1, -1, 0]
[1, 0, -1]
[1, -1, 2]
[-1, 0, 1]
Find the equation of an ellipse in the general form if the equation of the ellipse in the standardform is given by: (x+1)^2/16 - (y+1)^2/9 = 1
25x^2 – 4y^2 – 350x + 16y + 1141 = 0
25x^2 + 4y^2 – 350x - 16y + 1141 = 0
25x^2 – 4y^2 – 350x - 16y + 1141 = 0
25x^2 + 4y^2 – 350x - 16y - 1141 = 0
Find the derivative of f(x) = x^2 – 2x + 5
3
0
1
2
Find the absolute minimum value of f (x) = x^2/3 on the interval (-2, 3)
0
√9
1
3√9
Simplify:x-{6x-[3x-(x-2y)-6y}*
-3x+ 4y
-3x- 4y
3x- 4y
3x+ 4y
Simplify the following expression:
2y-(-x+3y)-3x
-4x- 5y
-5x+ 4y
4x- 5y
1
Find the direction numbers of the line that joins the
points (2, 0, -1) and (4, -2, 3).
[2, -1, 1]
[1, -1, 2]
[-1, 1, 2]
[1, 2, -1]
Find the distance between (-2, 4, 1) and (“, 2, 3)
2/13
5/13
13/5
13/2
The vertices of the triangle ABC are A (-1, 1), B (6, 2),
and C (2, 5). Find the equation of the side AB.
2y – x = 3
3x – 3y = 5
7y – x = 8
3y – 4x = 7
The vertices of the triangle ABC are A (-1, 1), B (6, 2),
and C (2, 5). Find the equation of the median from A to
BC.
7y – x = 8
2y – x = 3
3y – 4x = 7
2y – 3x = 5
If two angles have their sides respectively parallel, they are equal or
Adjacent
Vertical
Complementary
Supplementary
Find a third-degree equation with integral coefficients having the given number of roots: , −5 + 𝑖
2x^3+19x>>+42x-26=0
x^3-7x>>+17x-15=0
3x^3-17x>>+27x+11=0
x^3+2x>>-18x+11=0
Find the range of the function of y = 5 – 2x>>
Y is not equal to 5
Y µ 5
Y · 5
All real numbers
f(X) = x>>-2x+15-----x>>+5x-1 find 𝑓^1(𝑥)
-x>>+10x+7-----(2x>>+5x-1)>>
7x>>-32x-73-----(x>>+5x-1)>>
-11x>>+10x-7-----(2x>>+5x-1)>>
11x+10x+7-----(2x>>+5x-1)>>
Find the maximum point of the curve 𝑦 = 𝑥^3 − 9𝑥 ≫ + 15 – 5
(2, 2)
(1, 2)
(2, 1)
(2, 3)
Find the equation of the hyperbola in the standard form if the equation of the hyperbola in the general form is given by 9x>>-4y>>+36x+36y-36=0
(x+1)>>-----9 – (y-3)>>-----9 = 1
(x+2)>>-----4 – (y-3)>>-----9 = 1
(x-1)>>-----4 + (y-3)>>-----9 = 1
(x-2)>>-----9 – (y-3)>>-----4 = 1
Evaluate: f(n)=2n^3-3
for n = 2
16
13
10
8
Tan (Đ / 10) is equal to ___________
Sin (Đ / 3) / [1- cos(Đ / 5)]
Sin (Đ / 3) / [1+ cos(Đ / 5)]
[2 tan (Đ / 20)]/ [1- 〖tan〗^2(Đ / 5)]
[2 tan (Đ / 20)]/ [1+ 〖tan〗^2(Đ / 5) ]
Simplify cot Á / sec Á + 1 / csc Á
Tan Á
Csc Á
Sin Á
Cos Á
Find the equation of an ellipse in the general form ifthe equation of the ellipse in the standard form is givenby: (X-7)>>----4 + (y-2)>>----25 =1
25x>>;+4y>>-350x-16y+1141=0
25x>>+4y>>-350x-16y-1141=0
25x>>-4y>>-350x-16y+1141=0
25x>>-4y>>-350x+16y+1141=0
Evaluate: f(n)= 2n*3-3 for n=2
16
10
13
8
[ 1 -3]
[-1 -3]
[1 3]
[-1 3]
Which is true for subgroups of a group?
Subgroups form a partition of a group
The intersection of two subgroups is empty
The union of two subgroups is also a group
The intersection of two subgroups is also a group
The trace of a matrix A, tr (A), is the sum of its diagonal elements if
Find the relationship between tr (A + B) and tr (A) + tr (B).
tr (A + B) = tr (A) + tr (B)
tr (A + B) tr (A) + tr (B)
tr (A + B) > tr (A) + tr (B)
tr (A + B) < tr (A) + tr (B)
The expression (tan 2 Ì) (cos 2 Ì) is equivalent to ____________.
Sin 2 Ì
Cos 2 Ì
Sin Ì
2 sin 2 Ì
Simplify cot Á/sec Á + 1/csc Á
Cos Á
Sin Á
Tan Á
Csc Á
(sec Á-1)/ (1- cos Á)
Sin Á
Cos Á
Tan Á
Sec Á
Which of the following is the remainder when 3x^3-6x>>+5x+7is divided by x-2?
12
21
3
17
Simplify log x + log y – log z
Log x-----yz
Log xy-----x
Log yz-----x
Log xy-----y
The expression (tan 2 Ì) (cos 2 Ì) is equivalent to
2 sin 2 Ì
Cos 2 Ì
Sin 2 Ì
Sin Ì
Simplify tan>>A - sin>>A
tan>>A sin>>A
csc>>A
sec>>A
Sin>>Acos>>A
To express that there is significant difference between the income of family A and that of the income of family B.
Ho: X 1 ≠ X 2
Ho: X 1 = X 2
Ha: X 1 ≠ X 2
Ha: X 1 = X 2
Find the range of the function y=5-2x^2
all real numbers
y ≤ 0
y≠5
y ≤ 5
List of four smallest elements of the set, {y|y = 2x+1,x natural numbers}
1,2,3,4
1,3,5,7
3,5,7,9
3,4,5,6
Nica received an aquarium as a graduation gift from her mother. It has length, width and height of 9 centimeters, 7 centimeters, and 5 centimeters, respectively. Find its volume.
315 cubic meters
316 cubic meters
314 cubic meters
318 cubic meters
A line with a slope of 1/3 contains (8, y) and (-4, 3). Find y.
4
7
5
3
