Math Answers

Find the absolute maxima and minima of the function on the given domain

T(x, y) = x

2 + xy + y

2 − 6x + 2 on the rectangular plane 0 ≤ x ≤ 5, −3 ≤ y ≤ 3.

The abscisaa greater than the ordinate

Apply second substitution theorem evaluate

i) integral 1 to 9 (√ t)/(2+√t)

Find the relative extrema for

i) 𝑓( 𝑥 )= 𝑥^3 − 3𝑥 + 5

𝑖𝑖) f(x)=𝑥^4 + 2𝑥^2 − 4

Determine whether the following functions are differentiable

i) 𝑓 (𝑥 )= |𝑥|;

ii) 𝑔(𝑥) = |𝑥| +| 𝑥 + 1 |

iii) h(x) = x^1/3

If I: = [0,4], calculate the norms of the following partitions:

a) P1: = (0,1,2,4)

b) P2: = (0,2,3,4)

c) P3: = (0,1,1.5,2,3.4,4)

d) P4: = (0,.5,2.5,3.5,4)

If dy/dx= x-x²/2x⁴ and y=2 when x=1 to express y in terms of x.

Given: Population (6,7,8,9 and 10)

A sample of size 2 is to be Taken from this population.

a. How many samples are possible?

b. Construct sampling distribution of the sample means

Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. If a household is selected at random, find the probability of its generating more than 31 pounds. (