patulong naman about sa maxima and minima

Submitted by Ramjet Guadalq… on

point A and B are opposite to each other on the shores of a straight river 5km wide. point F is on the same shore as B but K kilometers down the river from B. Atelephone company wishes to lay a cable from A to f where the cost per km of the cable on land is 10,000 US dollar and under the water is 12,500 US dollar. Let P be a point on the same shoreas B annd Fso that the cable runs from A to P to F.(a)if X kilometer is the distance from B to P obtain an equation defining (x) if C(x) dollars is the total cost of laying cable and state the domain of C.

Rate problem

Submitted by Aesha on

A man in a wharf 6m above the water pulls in a rope to which a boat is tied at the rate of 1.2 m/s. at what rate is the boat approaching the wharf when there is 7.5 m of the rope out ?

Differential Eqn. Elimination of arbitrary constant and finding the general solution

Submitted by rony.simo@yahoo.com on

hello guys, please help me with my assignment. thank you so much.

1. eliminate the arbituary constant on this eqn. y=C1e^2x+C2e^x+C3

2. evaluate and find the general solution of this eqn.
a. x sqrt1+y^2 dx - y sqrt1+x^2 dy=0
b. 2ycosxdx+3sinxdy = 0

thank you so much. god bless! ^_^

Optimization

Submitted by Timothy Ornelas on

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