# ECET 299 ECET299 Final Exam Answers (DeVry)

ECET 299 Final EXAM Attempt 3 (DEVRY)

TCO 5) Let A = and B =. Find A - B.

(TCO 5) Solve the equation: log_{2} (2x + 1) = 3.

(TCO 5) Solve for x and y

given:

2x – y = 5

5x + 2y = 8

(TCO 5) Find a number such that three-fourths of the number is larger by 4 than two-thirds of that number.

(TCO 5) Solve for *x* and *y* given the following augmented matrix:

(TCO 5) Determine the value for x, where the maximum of the function *f*(x) = 1 – 4x – x^{2 }occurs.

(TCO 5) Determine the value for *i*^{50}.

(TCO 5) The relationship between Celsius (ºC) and Fahrenheit (ºF) degree of measuring temperature is linear. Find the linear equation between the two is 32ºF corresponds to 0ºC and 212ºF corresponds to 100ºC.

(TCO 5) Which of the rational functions might describe the graph shown below?

(TCO 5) Write (1 + *i*)^{5} in the standard form *a + bi*

(TCO 5) What is the exact value of sin?

(TCO 5) A sine wave with a period of 2 ms is changing at a faster rate than a sine wave with a period of

(TCO 5) Determine the period of the current in an AC circuit described by the formula:

I = 120 sin (30 πt), where t ≥ 0.

(TCO 5) For a particular 0º reference sinusoidal current, the peak value is 100 mA. Determine the instantaneous value at 35º.

(TCO 5d) The instantaneous current in a capacitor is equal to the capacitance times the instantaneous rate of change of the voltage across the capacitor. The formula for this is

(TCO 5) What is the derivative of f(x) = x^{9/4}?

(TCO 5) The induced voltage in an inductor is related to the inductance and the rate of change of the current by the formula: v_{ind }= L (). What is the voltage across a coil when = 10 mA/s and L = 5 H?

(TCO 5d) What is the derivative of f(x) = x^{3}-7x – 2?

(TCO 5) For a particular circuit, the current (in amperes) after time t (in seconds) at a certain point P is given by the equation i = 0.005t^{0.26}. Find the charge (in Coulombs) that passes point P during the first second by evaluating

(TCO 5) Integrate

(TCO 5) Integrate

(TCO 5) Integrate

(TCO 5) Evaluate

(TCO 5) The sum of a geometric series is , where a is the initial value and r is the ratio of each successive term. Find the sum of the infinite geometric series

(TCO 5) Find at least three nonzero terms (including a_{o}, at least two cosine terms [if they are not all zero] and at least two sine terms [if they are not all zero]) of the Fourier series: f (x) = x + π , -π ≤ x < π.