Solve the system by the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.
A. {(1, 5)}
B. no solution; ?
C. {(1, 1)}
D. infinitely many solutions; {
x + y = 6} or {
x = -y}
Answer: B
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Solve the problem.Write an iterated triple integral in the order 
for the volume of the tetrahedron cut from the first octant by the plane 
.
A. 
B. 
C. 
D. 
Find the volume of the described solid.The base of the solid is the disk x2 + y2 ? 16. The cross sections by planes perpendicular to the 
between 
and 
are isosceles right triangles with one leg in the disk.
A. 
B. 
C. 
D. 
Write a chain rule formula for the following derivative.
for w = f(x, y, z); x = g(r, s, t), y = h(r, s, t), z = k(r, s, t)
A. 
= 
+ 
+ 
B. 
= 
+ 
+ 
C. 
= 
+ 
+ 
D. 
= 
+ 
Solve the problem.A truck rental company rents a moving truck one day by charging $25 plus $0.07 per mile. Write a linear equation that relates the cost y, in dollars, of renting the truck to the number x of miles driven. What is the cost of renting the truck if the truck is driven 150 miles?
A. y = 0.07x + 25; $26.05 B. y = 25x + 0.07; $3,750.07 C. y = 0.07x + 25; $35.50 D. y = 0.07x - 25; $14.50