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APMA 1110 Final questions with verified solutions
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APMA 1110 Final questions with verified solutions
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APMA 1110 FinalILATE - correct answer ✔✔Inverse trig, log, algebraic, trig, exponential
sinx is odd - correct answer ✔✔u=-cosx
cosx is odd - correct answer ✔✔u=sinx
cosx is even, sinx is even - correct answer ✔✔trig identity
1. cos^2(x)= - correct answer ✔✔(1+cos2x)/2
2. sin^2(x)= - correct answer ✔✔(1-cos2x)/2
secx is even - correct answer ✔✔u=tanx
secx is odd and tanx is odd - correct answer ✔✔u=secx
Int(tanx)= - correct answer ✔✔ln|secx|+C
Int(secx)= - correct answer ✔✔ln|secx+tanx|+C
√a^2-x^2 - correct answer ✔✔x=asin@
√a^2+x^2 - correct answer ✔✔x=atan@
√x^2-a^2 - correct answer ✔✔x=asec@
, 2. cos^2(x)= - correct answer ✔✔1-sin^2(x)
2. sec^2(x)= - correct answer ✔✔1+tan^2(x)
tan^2(x)= - correct answer ✔✔sec^2(x)-1
sin(2x)= - correct answer ✔✔2sinxcosx
int(b^x) - correct answer ✔✔b^x/lnb
deltax/3, deltax= - correct answer ✔✔b-a/n
E< or = - correct answer ✔✔K(b-a)^5/180n^4
int(A/(x+a)) - correct answer ✔✔Aln|x+a|+C
int ((Ax)/(x^2+a)) - correct answer ✔✔(A/2)ln(x^2+a)+C
int(A/(x^2+a^2)) - correct answer ✔✔(A/a)tan^-1(x/a)+C
arc length/ds - correct answer ✔✔int(√1+(dy/dx)^2)
surface area - correct answer ✔✔int(2pirds)
(x̄ , ȳ) - correct answer ✔✔(My/m, Mx/m)
Mx= - correct answer ✔✔1/2pint(f(x)^2)
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