← SetsEngineering Mathematics — Set 3
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Engineering Mathematics Practice Questions — Set 3
10 free Engineering Mathematics reviewer questions with answers and explanations. Pindutin ang sagot mo para makita agad kung tama — kasama na ang paliwanag. Set 3 of 5.
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A project has an initial cost of ₱2,000,000 and is expected to have a uniform annual benefit of ₱600,000 for 5 years. If the cost of capital is 8% compounded annually, what is the Benefit-Cost Ratio (BCR) of the project?
22
Solve the first-order differential equation dy/dx = 2x with the initial condition that y = 5 when x = 0.
23
A vertical parabolic curve has a back tangent of +3% and a forward tangent of -2%. If the length of the curve is 200 meters, what is the rate of change of grade per 20-meter station (k)?
24
In fluid mechanics, what is the 'Bernoulli's Equation' used to describe for a steady, incompressible, and frictionless flow along a streamline?
25
A closed traverse has a sum of latitudes of +0.05 m and a sum of departures of -0.12 m. What is the total linear error of closure (LEOC) for the traverse?
26
Calculate the value of the 'Moment of Inertia' (Ix) for a rectangular section with a width (b) of 150 mm and a height (h) of 300 mm with respect to its centroidal x-axis.
27
A particle moves along a straight line with an acceleration given by a(t) = 4t. If its initial velocity (at t=0) is 2 m/s, what is its velocity after 3 seconds?
28
An investment of ₱100,000 earns interest at a rate of 6% per year compounded quarterly. What will be the total amount after 2 years?
29
Determine the length of the hypotenuse of a right-angled triangle with legs measuring 15 meters and 20 meters.
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