w3TgYte-1 Determine the stationing of the highest point.
Determine the stationing of the highest point.
June 2021
w3TgYte-0 Situation. An unsymmetrical parabolic curve has a forward tangent of -8% and backward tangent of +5%.
Situation
An unsymmetrical parabolic curve has a forward tangent of -8% and backward tangent of +5%. The length of curve on the left side is 40 m long while that of the right side is 60 m long. PC is at Sta 6 + 780 and at elevation 110 m.
A horn is generated by a circle which moves in the following manner:
Situation
A horn is generated by a circle which moves in the following manner: The plane of the circle is always parallel to the yz-plane with center always on the xy-plane, and its diameter is a line segment cut off by the curve x = y2 and x = 9y2 on the 1st quadrant of the xy-plane.
A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into equilateral triangle.
A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into equilateral triangle. What is the perimeter of the square so that the total area enclosed is minimum?
If P10,000 is deposited each year for 9 years, how much can a person get annually from the bank every year for 8 years starting 1 year after the 9th deposit is made. Cost of money is 14%.
If P10,000 is deposited each year for 9 years, how much can a person get annually from the bank every year for 8 years starting 1 year after the 9th deposit is made. Cost of money is 14%.
Find the area of the region that lies inside the circle $r = 3 \sin \theta$ and outside the cardioid $r = 1 + \sin \theta$.
Find the area of the region that lies inside the circle $r = 3 \sin \theta$ and outside the cardioid $r = 1 + \sin \theta$.
Determine the minimum value of a force F required to cause an impending motion of a 30 kg block up a 30° incline if the coefficient of friction of the block and the incline is 0.25.
Determine the minimum value of a force F required to cause an impending motion of a 30 kg block up a 30° incline if the coefficient of friction of the block and the incline is 0.25.
| A. 204.6 N | C. 20.9 N |
| B. 137.7 N | D. 14.04 N |
Find the equation of the line through (4, 7) and passing at a distance of 1 unit from the origin.
Find the equation of the line through (4, 7) and passing at a distance of 1 unit from the origin.
A couple decides to entertain 24 friends by giving 4 dinners with 6 guests each. In how many ways can the 1st group be chosen?
A couple decides to entertain 24 friends by giving 4 dinners with 6 guests each. In how many ways can the 1st group be chosen?
An angle of a triangle is four times as large as another and 45° more than the third angle. Find the angle.
An angle of a triangle is four times as large as another and 45° more than the third angle. Find the angle.