A. m = -2

B. m = -0.5

C. m = +2

D. m = +0.5

2.a. Find the time when the particle is at rest.

2.b. Find the time when the velocity is increasing.

2.c. Find the time whne the speed is decreasing.

2.a. Find the time when the particle is at rest.

A. \(t = 0 ~sec\)

B. \(t = 2.5~ sec\)

C. \(t = 1 ~sec\)

D. \(t = 0.5 ~sec\)

2.b. Find the time when the velocity is increasing.

A. \(1 < t < 2 \)

B. \(0 < t < 2.5 \)

C. \(1 < t < 2.5 \)

D. \(0 < t < 2 \)

2.c. Find the time whne the speed is decreasing.

A. \(t < 2.5\)

B. \(t < 2\)

C. \(t < 0\)

D. \(t < 1\)

A. \(t = 0 ~sec\)

B. \(t = 2.5~ sec\)

C. \(t = 1 ~sec\)

D. \(t = 0.5 ~sec\)

2.b. Find the time when the velocity is increasing.

A. \(1 < t < 2 \)

B. \(0 < t < 2.5 \)

C. \(1 < t < 2.5 \)

D. \(0 < t < 2 \)

2.c. Find the time whne the speed is decreasing.

A. \(t < 2.5\)

B. \(t < 2\)

C. \(t < 0\)

D. \(t < 1\)

3. **The distance of focus to one vertex in an ellipse is 4cm. Whilce its distance to the other vertex is 16 cm. What is the second eccentricity.**.CE (2001)

A. 0.75

B. 0.50

C. 0.30

D. 0.25

A. 0.75

B. 0.50

C. 0.30

D. 0.25

4. **What is the differential equation of the family of lines passing through a fixed point (h, k)?** CE (1995)

A. \((y-k)dx + (x-h)dy = 0\)

B. \((y-k)dx - (x-h)dy = 0 \)

C. \((y+k)dx + (x+h)dy = 0 \)

D. \((y+k)dx - (x+h)dy = 0 \)

A. \((y-k)dx + (x-h)dy = 0\)

B. \((y-k)dx - (x-h)dy = 0 \)

C. \((y+k)dx + (x+h)dy = 0 \)

D. \((y+k)dx - (x+h)dy = 0 \)

5. ** A civil engineer walks along the Roxas Boulevard, with his girlfriend for half an hour at an avaerage speed of 3 kph. They waited 10 min for a taxi, which brought them back to their starting point at 3:15 PM. If they started walking at 2:25 PM that afternoon, what was the average speed of the taxi?**CE (2012)

A. 7 Kph

B. 8 Kph

C. 9 Kph

D. 10 Kph

A. 7 Kph

B. 8 Kph

C. 9 Kph

D. 10 Kph

6. **N is a noramlly distributed variable with an average or mean of zero. Approximately 2% of the observation are -10 or smaller. Determine approzimately what fraction of the observation lie between 0 and 5. ** CE (2013)

A. 0.341

B. 0.841

C. 0.159

D. 0.50

A. 0.341

B. 0.841

C. 0.159

D. 0.50

7.**The volume obtained by rotating the region bounded by \(x = y^2 \) and \(x = 2-y^2\) about the \(y-axis\) is equal to ____.** .CE (1998)

A. \(\frac{4\pi}{3}\)

B. \(\frac{7\pi}{3}\)

C. \(\frac{12\pi}{3}\)

D. \(\frac{8\pi}{3}\)

A. \(\frac{4\pi}{3}\)

B. \(\frac{7\pi}{3}\)

C. \(\frac{12\pi}{3}\)

D. \(\frac{8\pi}{3}\)

8.**A sight is taken with an engineers level at rod held 100 m away, and an initial reading of 1.83 m was observed. The bubble is then leveled through 6 spaces on level tube and the rod reading is 1.91 m. What is the sensitivity of the bubble tube in seconds of arc?** .CE (2015)

A. 27.5

B. 55

C. 16.5

D. 13.5

A. 27.5

B. 55

C. 16.5

D. 13.5

9.**What is the y-intercept of a line passing through point (5, 3) and a slope of 3/4** .CE (2002)

A. -3/4

B. 3/4

C. 4/3

D. -4/3

A. -3/4

B. 3/4

C. 4/3

D. -4/3

10. **A machine shop purchased 10 years ago a milling machine for 60, 000 Php. A straight line depreciation reserved have been provided on a 20 years life of the machine. The owner of the machine shop desires to replace the old milling machine with a modern unit of many advantages costing 100, 000 Php. It can sell the unit for 20, 000 Php. How much net capital will be required for the purchase?**

A. 50, 000

B. 60, 000

C. 70, 000

D. 80, 000

A. 50, 000

B. 60, 000

C. 70, 000

D. 80, 000