Let z= sqrt(4x+2y) The rate of change in z at (2,1) as we change
x but hold y fixed is.........
The rate of change in z at (2,1) as we change y but hold x fixed
is.........
Find the volume of the solid bounded by the surface z =5 +(x-4)
^2+2y and the planes x = 3, y = 3 and coordinate planes.
a. First find the volume by actual calculation.
b. Estimate the volume by dividing the region into nine equal
squares and evaluating the functional value at the mid-point of the
respective squares and multiplying with the area and summing it.
Find the error from step a.
c. Then estimate the volume by dividing each...
Given two planes 3x − 2y + z = 1 and 2x + y − 3z = 3. (a). Find
the equation for the line that is the intersection of the two
planes. (b). Find the equation for the plane that is perpendicular
to the two planes.
Given two planes 3x − 2y + z = 1 and 2x + y − 3z = 3. (a). Find the equation for the line that is the intersection of the two planes. (b). Find the equation for the plane that is perpendicular to the two planes.
2. Given the System of Equations:
3x+2y+z+20w= 6
x+2y+z+10w=0
x+y+z+6w=2
2x+2y+z+15w=3
a) Use your calculator to solve, leaving solution in parametric
form
b) Find the specific solution when y = 6
c) Perform, BY HAND, a full check of this particular
solution