Question

Which of the following are probability functions.

- f(x)=0.2 for x=0,1,2,3,4 [2 MARKS]
- f(X)= x^2+x+1 for x=0.1,0.3,0.4,0.7,0.9 [2 MARKS]
- f(X)=x for x=0.1,0.2,0.3,0.4 [2 MARKS]

Answer #1

Given the following table, answer the questions below.
x
f(x)
0
0.05
1
0.2
2
0.3
3
0.45
a) Find the mean of this probability distribution. Round your
answer to one decimal place.
b) Find the standard deviation of this probability distribution.
Give your answer to at least 2 decimal places.

1.
Differentiate the functions:
a) f(x)=tan(1/x).
b) f(x)=sin(x^2)sin^2(x).

Consider the following data:
x 1 2 3 4 5
P(X=x) 0.2 0.2 0.2 0.2 0.2
Step 2 of 5 : Find the variance. Round your answer to one
decimal place.

1- For the following functions, find all critical numbers
exactly.
f(x) = x − 2 sin x for −2π < x < 2π
f(x) = e^−x −e^−3x for x > 0
f(x) = x^5 − 2x^3

Which functions fit the description?
function 1: f(x)=x^2 + 12. function 2: f(x)= −e^x^2 - 1.
function 3: f(x)= e^3x function 4: f(x)=x^5 -2x^3 -1
a. this function defined over all realnumbers has 3 inflection
points
b. this function has no global minimum on the interval (0,1)
c. this function defined over all real numbers has a global min
but no global max
d. this function defined over all real numbers is non-decreasing
everywhere
e. this function (defined over all...

Compute the Maclaurin series for the following functions: (a)
f(x) = (2 + x)^5 (b) f(x) = (x^3) * sin(x^2)

For f(x) = x^2+6 and g(x) = x^2-5 find the following
functions.
a.) (f o g)(x)
b.) (g o f) (x)
c.) (f o g) (4)
d.) (g o f) (4)

consider the following functions where a and b are unspecific
constants f(x)=x^2+ax+b/x-1, is the line x=1 necessary a vertical
asymptote, explain

1). Use the techniques of differentiation to find the
derivatives of the following functions
a). f(x)= (2 sqrt x + 1) (2-x/x^2+3x)
b). f(x)= cos^2 (3 sqrt x)
c). f(x) = Sin x/(x^2 + sin x)

For
the following functions: find the intervals on which f is
increasing or decreasing, the local max and min of f, and the
intervals of concavity and inflextion points.
f(x) = 3^(arctanx)
f(x) = sqrt(x^2 + 1) - x

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