MATH 1215 Study Guide - Final Guide: Implicit Function, Power Rule, Mechanical Equilibrium

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16 Jan 2018
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Equations: area under the graph of a function. Semester review: rie(cid:373)a(cid:374)(cid:374) su(cid:373)s a(cid:374)d euler"s method, discrete dynamical systems and autonomous. Differential equations: solutions to separable differentiable equations, basic function theory, exponential functions. _____ x y x x e e a b. Domain of f(x)=ln(x): ________________ (cid:455)=l(cid:374)(cid:894)(cid:454)(cid:895) ey=x, so ln(ex) = ____ and eln(x) = ____ )1: trigonometric functions sec(x) = _______ tan(x) = ______ csc(x) = _______ cot(x) = ______ For example, si(cid:374)(cid:894) /(cid:1007)(cid:895) = ______ (cid:272)os(cid:894)(cid:1009) /(cid:1010)(cid:895) = ______ si(cid:374)(cid:894)(cid:1007) /(cid:1008)(cid:895) = _______ (cid:272)os(cid:894) /(cid:1007)(cid:895) = _____: solving equations. Solving a linear equation ax+b=0 requires you to isolate the x: Solving quadratic equations: first bring everything to one side, ax2+bx+c=0, and then factor or use the quadratic formula. Exercise 2: solve for x when: limits. First step to evaluate is to substitute x=a. If f(a) exists (no division by 0), then this is the value of the limit.