Recent content by hallowon

Homework Statement Find a parametric equation of x-4y+2z-15 = 0 Homework Equations The Attempt at a Solution I know this is a plane in 3 space the normal of this plane is (3,-4,2) a point on this line is (15,0,0)

I am quite familiar with that particular article. The article is not only informative but concise. However, I found the article to still have left me at a standstill in my choice between computer engineering and computer science. I appreciate the help:D

After many many many...many posts, salary comparisons, opinions,descriptions, and different type of jobs I have read in regards to both degree programs, I still cannot choose between computer engineering and computer science(both been accepted to Uwaterloo). A little about myself: I am a...

Homework Statement Water is leaking out an inverted conical tank at the rate of 50L/min. The tank has a diameter of 10m at the top and is 6m deep. if the water is rising at the rate of 4cm/min when the greatest depth is 3m, find the rate at which the water is being poured into the tank...

So far ,Cost =1000x + 2000(12^2 + (5-x)^2)^1(/2) Cost'= ((2000x-10 000/sqrt(x^2-10x+169)) +1000) 0 = -1000sqrt(x^2-10x+169) = 2000x-10 000 sqrt(x^2-10x+169) = -2x+10 x^2-10x+169 =(-2x+10)^2 x^2-10x+169 = 4x^2-40+100 0 = x^2-10x-23 The answer on the back of my book says it is x=0 but this one...

Or, Cost =1000x + 2000(12^2 + (5-x)^2)^1(/2)

So, Cost =1000x + 2000(12^2 + 5^2)^(1/2) Cost' = 1000? x= 0?

i can't seem to put it in terms of x do i have to use pythagorean theorum using 12 and 5 km?

alright ill try.

Homework Statement A telephone company has to run a line from point A on one side of a river to another point B that is on the other side, 5km down from the point opposite A. The river is uniformly 12 km wide. The company can run the line along the shoreline to a point C and then under the...

Homework Statement show that the tangent line to y=(x2+x-2)3+3 at (1,3) is also tangent to the curve at another pointHomework Equations The Attempt at a Solution dy/dx=3(x2+x-2)2(2x+1) at 1 dy/dx = 0 y=mx+b b=3 y=3

ahh thank you i didn't event hink to make them equal to one another. Looks like i have a long way to go for continuity -_-

Homework Statement g(x)={x+3, x=3 {2+\sqrt{k} , x=3 find k if g(x) is continuous Homework Equations The Attempt at a Solution I have no idea how to begin, but drawing the first part on a cartesian plane.

thats kinda what i assumed to

thanks so much! you just made my day.