The Polar Coordinate System

In Polar Coordinate System, the references are a fixed point and a fixed line. The fixed point is called the pole and the fixed line is called the polar axis. The location of a point is expressed according to its distance from the pole and its angle from the polar axis. The distance is denoted by r and the angle by θ.

polar-ccordinates.gif

 

another problem :(

a car if nass 1600kg coast down a 10 percent grade from A to B, a distance of 30m and then coast along a level road until it stops at C. assume the road resistance to remain constant of 200N for the entire distance A to C, if the initial velocity of the car at A is 25kph, compute:

a.) its velocity at B
b.) the distance s it coast from B to C.

HELP PO!

A MAN OF MASS 80 KG ENTERS AN ELEVATOR ABOUT TO DESCEND. WHAT PRESSURE DOES HE EXERT ON THE FLOOR:

a.) what it is at rest?
b.)when it descends with an acceleration of 1m/s
c.) when it is brought to a stop with a deceleration of 1m/s

Solids for which V=(mean B)h

Hello.. and good evening.

I would like to know how to solve for the area of the mid-section of this prismatoid. I tried solving for the volume and I got an answer of 375 cu. ft. but according to Kern and Bland's book the real answer is 310 cu.ft. I guess I made a mistake in solving it.

Can I know the complete solution and the illustration of the top view of the prismatoid's mid-section? Thank you very much to whoever will answer my question. It would be a great help for me.

Optimization

An open box is to be made out of a 10-inch by 18-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.

I need the dimensions of the bottom of the box and the height of the box.

Please help

MATHalino 2020 (Ito Yung Last sa Paatras) Solid mensuration problem

1)An excavation is 12 ft. deep and has trapezoidal sides (faces). The upper base is horizontal rectangle 400 ft. by 180 ft., and the lower base is a horizontal rectangle 350 ft. by 150 ft. How many cubic yards of earth were removed in digging the excavation?

2)A chimney in the shape of a frustum of a regular pyramid is 186.3 ft. high. Its upper base is a square 10 ft. on a side, and its lower base is a square 16 ft. on a side. The flue is of uniform square cross section. 7 ¼ by 7 ¼ ft. find the weight of the chimney if the material weighs 112.8 lb. per cu. ft.