MATHalinoEngineering Math ReviewProblem
A salesperson earns P60,000 per month plus a commission of 20% of sales. Find the minimum amount of sales needed to receive a total income of at least P150,000 per month.
| A. P150,000 | C. P450,000 |
| B. P350,000 | D. P250,000 |
Problem
Chords AB and CD intersect each other at E inside the circle. AE = 8 cm, CE = 12 cm, and DE = 20 cm. If AB is the diameter of the circle, compute the area of AEC.
| A. 61.04 cm2 | C. 39.84 cm2 |
| B. 52.05 cm2 | D. 48.62 cm2 |
Problem
A point moves in the plane according to equations x = t2 + 2t and y = 2t3 - 6t. Find dy/dx when t = 0, 2, 5.
| A. -3, -3, -12 | C. 3, 3, 12 |
| B. 3, -3, 12 | D. -3, 3, 12 |
Problem
A 523.6 cm3 solid spherical steel ball was melted and remolded into a hollow steel ball so that the hollow diameter is equal to the diameter of the original steel ball. Find the thickness of the hollow steel ball.
| A. 1.3 cm | C. 1.2 cm |
| B. 1.5 cm | D. 1.6 cm |
Situation
An open cylindrical vessel 1.3 m in diameter and 2.1 m high is 2/3 full of water. If rotated about the vertical axis at a constant angular speed of 90 rpm,
1. Determine how high is the paraboloid formed of the water surface.
| A. 1.26 m | C. 2.46 m |
| B. 1.91 m | D. 1.35 m |
2. Determine the amount of water that will be spilled out.
| A. 140 L | C. 341 L |
| B. 152 L | D. 146 L |
3. What should have been the least height of the vessel so that no water is spilled out?
| A. 2.87 m | C. 3.15 m |
| B. 2.55 m | D. 2.36 m |
Problem
Find the distance from the point A(1, 5, -3) to the plane 4x + y + 8z + 33 = 0.
| A. 1/2 | C. 2/3 |
| B. 2 | D. 1.5 |
Problem
Evaluate $\displaystyle \int_0^9 \dfrac{1}{\sqrt{1 + \sqrt{x}}}$
| A. 4.667 | C. 5.333 |
| B. 3.227 | D. 6.333 |
∈=p/Ao((1-(x/2L) *E^(-1)
I am trying to integrate the above. For clarity p is over Ao((1-(x/2L) and then all multiplied by E^(-1). Do I need to deal with the Ao((1-(x/2L) first?
Thanks in advance Paul
Example
For the Pratt truss shown below, draw the influence diagram for members JK, DK, and DE.
