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Find the Wronskian of the following functions and determine whether it is linearly dependent or linearly independent on (-∞,∞).
- {x2, x+1, x-3} ans, W=8, linearly independent
- {3e2x, e2x} ans, W=0, linearly dependent
- {x2, x3, x4} ans, W=2x^6, linearly independent
Find the Wronskian of the following functions and determine whether it is linearly dependent or linearly independent on (-∞,∞).
- {ln x, ln x2} ans, W=0, linearly dependent
- {2+x, 1-x, 3+x2} ans, W=-6, linearly independent
find the missing term in a proportion: solve for the value N.
16.5:4 = N:20
17.N:2 = 10:20
18.6:N = 12:36
19.9:4 = N:16
20.5:12 = 35:N
Sketch the graph of the functions:
1. f(x) = 5
2. h(x) = 3x + 2
3. q(x) = x2 + 6x -7
4. k(x) =
5. h ₒ g = 2x3 + x2 – 10x - 5
6. g ₒ f = (2x + 1)(x – 3) = 2x2 – 5x -3
The salaries of employees of a certain company in Metro Manila have a mean of Php
5,000 and a standard deviation of Php 1000. What is the probability that an
employee selected at random will have a salary of
a) more than Php 5000
b) between Php 5000 and Php 6500
A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is 8.2 years. The standard deviation of the population is 2.3 years. At 0.05 level of significance, can it be concluded that the average age of taxis in his company is less than the national average? GIve the full solution also, Thank you!
A container with square base, vertical sides, and open top is to have a volume of 1000 . Find the dimensions of the container with minimum surface area.
A church window consisting of a rectangle topped by a semicircle is to have a perimeter p. Find the radius of the semicircle if the area of the window is to be a maximum.
How much Ione invest if she wants to have P19,640.62 at the end of 2.75 years at a bank that offers 11(1/4)% simple interest
What is survey method
#340153 on Dec 2023