Quantitative

Question 1

1/9

Answer 1

.111= 11.1%

Question 2

1/6

Answer 2

.166=16.6%

Question 3

1/8

Answer 3

.125= 12.5%

Question 4

log_ab=c

Answer 4

a^c=b

Question 5

sum of interior angles

Answer 5

sum=(n-2)*180

Question 6

diameter of a square

Answer 6

d=Lsqrt(2)

Question 7

Sphere formulas

Answer 7

Volume: (4/3)π r³

SA=4π r²

Question 8

Cylinder Formulas

Answer 8

Volume= V=Ah=πr²h

SA= 2πrh

Question 9

Temperature Conversions

Answer 9

C=(F-32)/1.8

C= 5/9 * (F-32)

K=C+273

Question 10

Trig identities

Answer 10

Cos² θ+sin² θ=1

1+tan²θ=sec²θ

cot²θ+1=csc²θ

Question 11

domain and range of Cos

Answer 11

D: ARN

range: [-1,1]

Question 12

domain and range of sin(x)

Answer 12

D: ARN

range: [-1,1]

Question 13

domain and range of tan(x)

Answer 13

domain: (-pi/2, pi/2)
range: ARN

Question 14

domain and range of cot(x)

Answer 14

D: (-pi,pi)

R: ARN

Question 15

Domain and range of sec(x)

Answer 15

D:(-pi/2, pi/2)

R: (-inf, -1] u [1, inf)

Question 16

domain and range of csc(x)

Answer 16

D:(-pi, pi)

R: (-inf, -1] u [1, inf)

Question 17

domain and range of sin^-1(x)

Answer 17

D: [-1,1]

Range: [-pi/2, pi/2]

Question 18

domain and range of cos^-1(x)

Answer 18

D: [-1,1]

Range: [0,pi]

Question 19

difference of cubes

Answer 19

a^3 +/- b^3= (a+/-b)(a^2 -(+/-) ab +b^2)

Question 20

domain an

Question 21

Derivatives: product rule

Answer 21

g* f’+ f*g’

Question 22

Derivative quotient rule

Answer 22

(g*f’ - f*g’) / g²

Question 23

Mean Statistics

Answer 23

population mean: μ

sample mean: x-bar

Question 24

Standard Deviation

Answer 24

population: sigma
sample: s

68% of data in +/- 1 stdev

95% of data in 2 stdev

99.7% within 3 stdev

Question 25

Z and t scores

Answer 25

z= (x- mu)/ sigma t= (x - xbar)/s

larger the number; further from mean.

Question 26

t score with sample size n

Question 27

Cos(pi/6)

Answer 27

sqrt(3)/2