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Solved problems - SlideShare
(c) These are unit-amplitude rectangular pulses of width T /2 and where u = −τ . ... . The proba- bility of a symbol error is a function of the channel code and ... x() t 1 t -3T -2T -T T 2T 3T -1 Solution: The signal is periodic with period 2T . ... Consequently, the Fourier series expansion of p(t) is ∞ π p(t) = pn exp ... |
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Fundamental theorem of calculus - Khan Academy
When defining Fundamental Theorem of Calculus shouldn't the function of lower limit of the integral be zero? ... .. In other words, why 'a' doesn't influence the calculations? ... .. since f(t) is a function of t (or a function in terms of t, for example f(t)=2t, again like x ... . F'(x) = (d/dx) of the integral from 0 ... |
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Calculus_and_Advanced_Functions_v2 - Chapter 1 Functions and ...
MA H T One of the main reasons that mathematics is so interesting is that it ... 2 2 a) y = x + 6x + 5 b) y = 2x + 8x + 3 2 2 c) y = 3x - 6x - 7 d) y = 5x + 9x + 4 14. ... Draw the graph of each of the following functions and state the domain and range . ... .. function is also called a instruction. second-degree polynomial: P(x) = ax2 + ... |
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Chapter 2: Computing Derivatives - ScholarWorks@GVSU
Preview Activity 2.1. Functions of the form f (x) = xn, where n = 1,2,3,... , are often ... denote the derivative of a function, as well as the instruction to take the derivative. We ... . In words, the Sum Rule tells us that “the derivative of a sum is the sum of the ... . is given by the function P(t) = 2(1.37)t + 32, where t is measured... |
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Calculus/Print version - Wikibooks, open books for an open world
an acceleration function a(t);; the integral of the acceleration is the velocity function ... Given the series (42, 43, 3, 18, 34), the differential of this series would be (1, -40, 15, 16). ... . If we wanted to denote the set of all numbers between, say, 2 and 4, we ... . For example, suppose we have a polynomial P(x) ... .. In other wo... |
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Clarifying Activity - Mathematics TEKS Toolkit
These revised TEKS were adopted by the Texas State Board of Education in 2005–06, with full ... y = 1/x2; y = x3; y = 3x; y = sin x; y = log x; y = 1/x; y = square root of x; y = (1/3)x ... For each curve, describe restrictions, if any, on the parameter, t. ... Students examine the graphs of the functions given in Clarifying Activity P... |