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FPSC · CSS 2017

Applied Mathematics

100 marks · 3 hours · 2 questions
This paper Applied Mathematics · all yearsQ. 2 · A 100 Kg wooden crate…Q. 8 · Use Trapezoidal Rule with 3…With this paper2018 →
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Q. 2
  1. (a)A 100 Kg wooden crate rests on a wooden ramp with an adjustable angle of inclination.
  2. (b)A ladder having a uniform density and a mass m rests against a frictionless vertical wall at an angle of 60°.
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Q. 8
  1. (a)Use Trapezoidal Rule with 3 segments to evaluate. ∫00.8xe−2xdx\int_{0}^{0.8} xe^{-2x} dx Also find the true solution and the percentage error.
  2. (b)Consider the function f ( x ) = x f(x)=xexf(x) = x e^x .
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(10)

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The 2017 CSS Applied Mathematics paper set by the FPSC. Question wording only; questions marked “Not yet checked” have not been compared with the official paper yet.

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