In the REE board exam, the three major subjects are weighted Mathematics 25%, Engineering Sciences and Allied Subjects 30%, and Electrical Engineering Professional Subjects 45%. If a candidate scores 60, 75, and 80 in these subjects respectively, what is the general weighted average?
Mathematics
Question · Easy
Same battery. Which lets more through?
Short
Solve for x: log base 2 of (x) plus log base 2 of (x - 6) = 4.
Question · Medium
Chapter 1: Overview, RA 7920 & Electrical Engineering Ethics
1.1 PRC Board of Electrical Engineering & REE Examination Overview
Study guide
What is the derivative with respect to t of v(t) = 10 sin(377t + pi/6) volts, where the sine argument is in radians?
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Evaluate the integral of i(t) = 5 e^(-2t) amperes from t = 0 to t = infinity to find the total charge in coulombs.
Express the complex number 5 + j5 in polar form (magnitude and angle).
Cruise the loop: a log is an exponent
A bag contains 4 red and 6 blue resistors. If two are drawn at random without replacement, what is the probability that both are red?
1.2 Republic Act No. 7920 (New Electrical Engineering Law) & License Classes
What is the Laplace transform of the unit step function delayed by 'a' seconds, u(t - a)?
Question · Hard
For the system 4x + y = 9 and x + 3y = 7, start the Jacobi iterative method with x^(0) = 0 and y^(0) = 0. What is the first iterate (x^(1), y^(1)), rounded to two decimal places?
A general solution of the differential equation dy/dx + 2y = 0 is which of the following?
The longest way home
What is the angle, in radians, equivalent to 270 degrees?
1.3 Code of Ethics & Professional Practice for Electrical Engineers
If a sinusoid is expressed as v(t) = 170 sin(omega t), what is its root-mean-square (RMS) value?
For z = x^2 y + 3y^2, what is the partial derivative dz/dx at (x, y) = (2, 1)?
Find the area bounded by the curve y = x^2, the x-axis, and the lines x = 0 and x = 3.
Using integration by parts, evaluate the definite integral of x e^x from x = 0 to x = 1.
Chapter 2: Math — Algebra, Trig & Geometry
2.1 Algebraic Equations, Polynomials & Complex Numbers
What is the value of sin(2*theta) when sin(theta) = 0.6 and theta is in the first quadrant?
In analytic geometry, what is the distance between the points (1, 2) and (4, 6)?
Use the centered finite-difference formula with h = 0.1 to approximate f'(1) from f(1.1) = 1.21 and f(0.9) = 0.81. What is the approximation?
The fundamental frequency of a periodic waveform is 60 Hz. What is the frequency of its third harmonic?
2.2 Trigonometry — Identities, Triangles & Spherical Trig
Evaluate the limit as x approaches 0 of (sin x)/x.
A pump motor delivers 15 hp. Expressed in kilowatts (using 1 hp = 0.746 kW), this is approximately:
What is the standard deviation interpretation when a set of measured voltages has a mean of 220 V and a standard deviation of 0 V?
For a least-squares line y = a + bx, the data give sum[(x - xbar)(y - ybar)] = 10 and sum[(x - xbar)^2] = 5. What is the fitted slope b?
2.3 Analytic & Solid Geometry
For the differential equation y'' - 3y' + 2y = e^(3x), which trial form is appropriate for a particular solution by undetermined coefficients?
The bisection method is applied to f(x) = x^2 - 2 on the initial interval [1, 2]. After evaluating the first midpoint, which interval should be retained because it still brackets the root?
A signal is sampled and its Fourier series contains only odd harmonics with no DC component. This is characteristic of a waveform that has:
Under PEC 2017 Part 1, for a standard branch circuit with continuous and noncontinuous loads and no applicable listed-assembly exception, the overcurrent device rating must be at least:
Engineering Sciences Allied
Chapter 3: Engineering Mathematics — Calculus & Differential Equations
3.1 Differential Calculus, Limits, Derivatives & Applications
Under the PEC 2017 Part 1 branch-circuit rating table, what is the minimum copper conductor size normally associated with a 15 A general-purpose branch circuit?
The governing law that regulates the practice of electrical engineering in the Philippines and defines the Registered Electrical Engineer is:
A solid disk has mass 4.0 kg and radius 0.50 m. If a net torque of 3.0 N m acts about its center, what angular acceleration results? Use I = (1/2)mr^2.
In thermodynamics, the efficiency of an ideal Carnot engine operating between a hot reservoir at 600 K and a cold reservoir at 300 K is:
3.2 Integral Calculus, Integration Techniques & Area/Volume Applications
An engineering economics analysis uses an interest rate of 8% compounded annually. The future worth of P10,000 after 3 years is approximately:
Under the PRC Board's 2024 Revised Code of Ethics, what should a licensed electrical practitioner do upon identifying a condition on responsible work that may threaten life, health, or property?
A force of 100 N acts on a body, accelerating it at 5 m/s^2. By Newton's second law, the mass of the body is:
Water flows through a pipe of 0.1 m^2 cross-sectional area at a velocity of 2 m/s. By the continuity equation, the volumetric flow rate is:
3.3 Ordinary Differential Equations & Initial-Value Problems
In general chemistry, the number of moles in 36 grams of pure water (molar mass 18 g/mol) is:
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