Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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ACTIVITY 1:
NAME:
STRAND/SECTION:
DATE:
dy
and simplify the result, if possible.
dr
Find
y = sec a
sin r-1
1.
2.
Cos z
y = 1 sinr cos z
3.
4.
y =-- tan I cot z
secx
5. f(x) =
1-sinz
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2/5
ACTIVITY 2:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa65754f6-fd52-4cbd-b2e4-e44ada5928d8%2F5b894934-9a24-449e-994d-840f44420af4%2Fdwzctt_processed.jpeg&w=3840&q=75)
![SAINT COLUMBAN COLLEGE
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ACTIVITY 2:
NAME:
STRAND/SECTION:
DATE:
I.
1. Find y. y",", and y" for the following expressions:
a. y = a
d. y =r
b. y=7
z4
e. y= 32
f. y=z15
c. y=
2. Find the first and second derivatives of the following:
a. y-zVE
e. k(t) -
b. f(u) =-
c. f(t) = Vi
1
f. h(s) =
d. g(z) -
II.
in terms of z.
dz
1
1. Use the Chain Rule to find
a. y- (u - 2)a and
u=
2r +1
b. y= Vu and u= 5z -3
1
u+1
dy
2. Solve for and simplify the result.
1
and u=+1
c. y=
dr
a. y- (3r - 2)*(2+ 5)6
5r-1
b. y=
2r +3
c. y=zv4-
3. Find the derivatives of the following functions as specified:
d. g(z) - ( + 1)17, g(2)(2)
e. y- (- VE)-32 "
a. y = sin a, "
b. h(2) = (9z + 4)}, h(2)
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ACTIVITY 8:
NAME:
STRAND/SECTION:
DATE:
I.
3/5
Find the equation of the tangent line to a? – 3ry + y? = -1 at (2,1).
Consider ry? +x²y = 6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa65754f6-fd52-4cbd-b2e4-e44ada5928d8%2F5b894934-9a24-449e-994d-840f44420af4%2F8lzm4f_processed.jpeg&w=3840&q=75)
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