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Civil Engineering Board Exam, May 2019

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CE Board Exam Problems, May 2019

Below are solved problems similar to May 2019 CE board examination.

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A circle has an equation of x^2 + y^2 + 2cy = 0. Find the value of c when the length of the tangent from (5, 4) to the circle is equal to one.

Problem
A circle has an equation of $x^2 + y^2 + 2cy = 0$. Find the value of $c$ when the length of the tangent from (5, 4) to the circle is equal to one.

A.   5 C.   3
B.   -3 D.   -5

 

Find the equation of the curve passing through the point (3, 2) and having s slope 5x^2 - x + 1 at every point (x, y)

Problem
Find the equation of the curve passing through the point (3, 2) and having s slope 5x2 - x + 1 at every point (x, y).

A.   $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{31}{3}$ C.   $y = 5x^3 - 2x^2 + x - 118$
B.   $y = 5x^3 - 2x^2 + x - 31$ D.   $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{83}{2}$