← SetsEngineering Mathematics — Set 1
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Engineering Mathematics Practice Questions — Set 1
10 free Engineering Mathematics reviewer questions with answers and explanations. Pindutin ang sagot mo para makita agad kung tama — kasama na ang paliwanag. Set 1 of 5.
1
A project requires an initial investment of ₱1,200,000 and is expected to generate annual net savings of ₱350,000 for 5 years. If the interest rate is 10% compounded annually, what is the Net Present Value (NPV) of this project?
2
A surveyor measures a distance of 450.00 meters using a steel tape that is exactly 30.00 meters long at a temperature of 20°C. If the temperature during measurement is 35°C, what is the corrected distance? (Coefficient of thermal expansion α = 11.6 × 10⁻6 / °C)
3
Determine the derivative of the function f(x) = ln(x² + 4x) with respect to x.
4
A horizontal curve has a radius of 250 meters. If the design speed is 80 km/h, what is the required superelevation (e) if the side friction factor (f) is 0.12?
5
A 10-hectare watershed has a runoff coefficient of 0.40. If the rainfall intensity for a given storm is 50 mm/h, what is the peak runoff in cubic meters per second (cms) using the Rational Formula?
6
Calculate the area of a triangle with sides of 7 meters, 8 meters, and 9 meters using Heron's Formula.
7
A beam 6 meters long is supported at both ends and carries a uniformly distributed load of 10 kN/m. What is the maximum bending moment occurring in the beam?
8
If the probability of a structural component failing within 10 years is 0.05, what is the probability that it will NOT fail during that same period?
9
Find the value of 'x' that satisfies the quadratic equation x² - 5x + 6 = 0.
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