Wednesday

July 30, 2014

July 30, 2014

Posted by **ninzyy** on Thursday, November 3, 2011 at 9:39pm.

top. Its ends are isosceles triangles with an

altitude of 2.1 ft and vertex down.

Water is being pumped into the trough at

a rate of 2.4 ft3/min.

How fast is the water level rising when the

water is 1.39 ft deep?

Answer in units of ft/min

(Sides of baseball diamond are all 90 ft)

For the baseball diamond shown in the figure

below, suppose the player is running from first

to second at a speed of 26 ft/s.

Find the rate at which the distance from

home plate is changing when the player is 38

ft from second base.

- Cal 1 -
**Steve**, Friday, November 4, 2011 at 12:29pmIf the water is x ft deep, its cross-section is a triangle with height x and width w. By similar triangles,

x/2.1 = w/2.6

w = 1.238x

The volume is 10*(1/2)*x*w = 5*x*1.238x = 6.19x^2

v = 6.19x^2

dv/dt = 12.38x dx/dt

2.43 = 12.38(1.39) dx/dt

dx/dt = 0.14 ft/min

**Related Questions**

Calculus - A trough is 15 ft long and 4 ft across the top, as shown in the ...

calculus - A trough is 16 ft long and its ends have the shape of isosceles ...

calculus - please help i am lost at what is dy/dx and what is dy/dt. A trough is...

calculus - A trough is 12 feet long and 3 feet across at the top. It ends are ...

calculus - A trough is 15 ft long and its ends have the shape of isosceles ...

calculus - They're actaully 2 question :D 1.find the rate of change of the ...

Calculus - A trough is 12 ft long and has ends that are isosceles triangles that...

calculus - A trough is 6 feet long and has ends that are isosceles triangles ...

math - A trough is 11 feet long and has ends that are isosceles triangles that ...

Calculus - A water trough on a farm has an isosceles triangle croos section ...