Solve the problem.What is the difference in altitude between the peak of a mountain 16,509 feet above sea level and the peak of a mountain 12,052 feet above sea level?
A. 28,661 feet
B. 4557 feet
C. 28,561 feet
D. 4457 feet
Answer: D
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Answer the question.You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trail's direction and the contour of the mountainside? [Hint - Think of the trail as a constrained path, g(x, y) = c, on the mountainside's surface, altitude = f(x, y). Consider only infinitesimal displacements.]
A. At the bottom of the dip, the trail is headed along the mountain's contour line which passes through that point. B. At the bottom of the dip, the trail is headed perpendicular to the mountain's contour line which passes through that point. C. At the bottom of the dip, the trail is headed in the direction of the mountain's steepest ascent. D. The mountainside rises in all directions relative to the dip.
Use function notation to write the equation of the line with the given slope and y-intercept.Slope 4; y-intercept 
A. f(x) = 4x + 1
B. f(x) = - 
x + 1
C. f(x) = 4x - 1
D. f(x) = - 
x - 1
Find all the first order partial derivatives for the following function.f(x, y, z) = ln (xy)z
A. 
= 
; 
= 
; 
= z ln (xy)z-1
B. 
= 
; 
= 
; 
= ln (xy)
C. 
= z ln 
; 
= zln
; 
= ln (xy)
D. 
= - 
; 
= - 
; 
= ln (xy)
Multiply the expression using the product rule.y11 ? y10
A. 2y110 B. 2y21 C. y110 D. y21