Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.

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Sixta KovacekLv2

14 May 2020

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Assuming that a particle's displacement is a third degree polynomial and given that its displacement has critical points at and . Find the particle's acceleration as a function of time.

Boolean function (𝑥, 𝑦, 𝑧) is given by formula represented in the table below.

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Construct value table (truth table) for the function 𝑓(𝑥, 𝑦, 𝑧)
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. 𝑓(𝑥, 𝑦, 𝑧) = ((𝑧 → (𝑥 → 𝑧)) ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ↔ 𝑦) ∨ ((𝑥 → ̅𝑧 ) & (𝑧 → 𝑥))

lilacgoat932

1. (16 marks, 2 for each part.) The problem consists of 8 short-answer questions: V22 +12 - 1 (a) Evaluate lim - or determine that it does not exist. In the latter case, write DNE as answer. 1+2 -1 Answer (b) Find values of a that would make the following function continuous everywhere, or determine that no such value exists. In the latter case, write DNE as answer. g(x) = ( 22+2 2+1 ar if I 1. Answer (c) Find the derivative of y = r" lnr. Answ (d) Find the equation for the tangent line to the curve z-y + xy2 = 2 at (1,1). Answer (e) Use linear approximation to estimate (0.998) Answer if any exists. Write DNE if none r2 - 4 (f) Find the vertical, horizontal or slant asymptotes of f(x) = exists. Answer (g) Find any local maxima and minima of h(x) = r- in the interval (1,4). Give both r and h(2) values and state whether it is a local minimum or maximum. Answer (h) On which part of the interval [0,1] is f(x) = et sin x concave upward? Answer

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