final exam
... 22. Start with the graph of y = x3 . Shift the graph 5 units to the right, and then reflect the graph over the x-axis. Write down the equation of the new graph. 23. For the linear function f (x) = 3x − 2 and the quadratic function g(x) = x2 − 4 find simplified values or expressions for: (a) g(−3) (b ...
... 22. Start with the graph of y = x3 . Shift the graph 5 units to the right, and then reflect the graph over the x-axis. Write down the equation of the new graph. 23. For the linear function f (x) = 3x − 2 and the quadratic function g(x) = x2 − 4 find simplified values or expressions for: (a) g(−3) (b ...
CS173: Discrete Math - University of California, Merced
... f and f-1 form an identity function in any order Let f: A →B with f(a)=b Suppose f is one-to-one correspondence from A to B Then f-1 is one-to-one correspondence from B to A The inverse function reverse the correspondence of f, so f-1(b)=a when f(a)=b, and f(a)=b when f-1(b)=a • (f-1 ◦f)(a)=f-1(f(a) ...
... f and f-1 form an identity function in any order Let f: A →B with f(a)=b Suppose f is one-to-one correspondence from A to B Then f-1 is one-to-one correspondence from B to A The inverse function reverse the correspondence of f, so f-1(b)=a when f(a)=b, and f(a)=b when f-1(b)=a • (f-1 ◦f)(a)=f-1(f(a) ...
Section 3.3 Reading Assignment Due 9 AM, Tuesday 5/7. Please
... Section 3.3 Reading Assignment Due 9 AM, Tuesday 5/7. Please read Sections 3.3 and 3.4 and respond to the following in a Word document. 1. Let x be the number 0.29999999... and let y be the number 0.30000000... Does x = y? Explain. ...
... Section 3.3 Reading Assignment Due 9 AM, Tuesday 5/7. Please read Sections 3.3 and 3.4 and respond to the following in a Word document. 1. Let x be the number 0.29999999... and let y be the number 0.30000000... Does x = y? Explain. ...
Slide 1
... Linear Circuit obeys Ohm’s Law (i.e. v α i or v = Ri) if the i or v in any part of the circuit is sinusoidal, the i and v in every other part of the circuit is sinusoidal and of the same frequency Non-linear circuits do not obey Ohm’s Law. Circuit Elements: Active – supply energy: voltage or ...
... Linear Circuit obeys Ohm’s Law (i.e. v α i or v = Ri) if the i or v in any part of the circuit is sinusoidal, the i and v in every other part of the circuit is sinusoidal and of the same frequency Non-linear circuits do not obey Ohm’s Law. Circuit Elements: Active – supply energy: voltage or ...
Chapter 4 - William Stallings, Data and Computer
... broadcast radio to cover the VHF and part of the UHF band use broadcast radio, 30MHz - 1GHz, for: FM radio Ultra high frequency (UHF) and VHF (Very high ...
... broadcast radio to cover the VHF and part of the UHF band use broadcast radio, 30MHz - 1GHz, for: FM radio Ultra high frequency (UHF) and VHF (Very high ...
Full text
... sequence of polygonal numbers. For example (see Fig. 1), if the polygon is a triangle, we get the triangular numbers 1, 3, 6, 10, 15, ..., and if the polygon is a pentagon, we get the pentagonal numbers 1, 5, 12, 22, 35, .... More information on the polygonal numbers may be found in L. E. Dickson1s ...
... sequence of polygonal numbers. For example (see Fig. 1), if the polygon is a triangle, we get the triangular numbers 1, 3, 6, 10, 15, ..., and if the polygon is a pentagon, we get the pentagonal numbers 1, 5, 12, 22, 35, .... More information on the polygonal numbers may be found in L. E. Dickson1s ...
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.