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...
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
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.