2. Evaluate the limit using the properties of the limit: 2 7xy lim (x,y)-(2,3) x2 + y2 3. Verify the limit using the definition: 7xy2 lim x,y)-(0,0) χ 2 + y 2 4. Discuss the continuity for: a) g(x,y) x2+y2-9 b) h(x,y)-y-4 a) f(x,y) 4y+x4y2-5xy® 5 5. Find the partial derivatives for: b) f(x,y)-e"cos(xy2) 6. Find the slope in the x-direction and in the y-direction of the surface 2 -x2 +--+-at the point (0,-1,4) using partial derivatives. 4

# 2. Evaluate the limit using the properties of the limit: 2 7xy lim (x,y)-(2,3) x2 + y2 3. Verify the limit using the definition: 7xy2 lim x,y)-(0,0) χ 2 + y 2 4. Discuss the continuity for: a) g(x,y) x2+y2-9 b) h(x,y)-y-4 a) f(x,y) 4y+x4y2-5xy® 5 5. Find the partial derivatives for: b) f(x,y)-e"cos(xy2) 6. Find the slope in the x-direction and in the y-direction of the surface 2 -x2 +--+-at the point (0,-1,4) using partial derivatives. 4

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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