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Updated PCHA final exam Questions And Answers
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limit definition - ANS f(x+h) - f(x) / h parametric equations for ferris wheel - ANS x(t) = a * sin(t) y(t) = a * -cos(t) + k derivative of tan(x) - ANS sec2(x) derivative of cot(x) - ANS -csc2(x) derivative of sec(x) - ANS sec(x)tan(x)...

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  • August 9, 2024
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  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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  • updated pcha final exam questions and answers

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Updated PCHA final exam Questions And
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limit definition - ANS f(x+h) - f(x) / h

parametric equations for ferris wheel - ANS x(t) = a * sin(t)
y(t) = a * -cos(t) + k

derivative of tan(x) - ANS sec2(x)

derivative of cot(x) - ANS -csc2(x)

derivative of sec(x) - ANS sec(x)tan(x)

derivative of csc(x) - ANS -csc(x)cot(x)

derivative of a^x - ANS (a^x)*ln(a)*(da/dx)

derivative of ln(a) - ANS 1/a * (da/dx)

derivative of log a (u) - ANS 1/(u * ln(a) * (du/dx)

recursive arithmetic sequence - ANS a(n+1) = a(n) + d

explicit arithmetic sequence - ANS a(n) = a(1) + d(n-1)

recursive geometric sequence - ANS a(n+1) = a(n)*r

explicit geometric sequence - ANS a(n) = a(1) * r^(n-1)

arithmetic summation notation - ANS n
∑ a(k) = S(n)
k=1

geometric summation notation - ANS n (= number in sequence)
∑ a(n) = a(1) * ( 1 - r^n ) / (1-r)
n=1

infinite summation notation - ANS ∞

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