Find the limit. lim 5x2 +102+2 (x, y) -(0,0) 5x2 - 10/29 O-1 No limit
2. Determine whether or not the limit 5x2 4xy2y 11x25y2 lim (xy)(0,0) exists and if it does, find its value 2. Determine whether or not the limit 5x2 4xy2y 11x25y2 lim (xy)(0,0) exists and if it does, find its value
Find the limit lim (x,y) → (0,0) x2 + y2 a. Does not exits O b.o c. None of these d.
1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show that lim(x,y)=(0,0) z?”, does not exist 4. Find lim(x,y)=(0,0) eye if it exists, or show that the limit does not exist
please answer both of them and show all the steps , (b) Find or show the limit does not exist:linm (x, y) → (0,0) x2 + y2 8, (b) Show that the following limit does not exist 2 lim (x, y) → (0,0) x2 + y2 , (b) Find or show the limit does not exist:linm (x, y) → (0,0) x2 + y2 8, (b) Show that the following limit does not exist 2 lim (x, y) → (0,0) x2...
QUESTION 3 Find the limit. lim (x,y)-> (1, 2) * In y O In (2) - 1 In 2 o 2 No limit
Calculate the next limit, if it doesn’t exist, then prove it. 2 y (b) lim (x,y)→(0,0) sin' y + ln(1 + x2)
QUESTION 2 Find lim xy +1 (x, y)*(0,0) x2 +y2-1 O-1 O 2 00 O Does not exist.
1. Consider XPy4 lim (x,y)=(0,0) x2 + y2 Compute the limit along the two lines y = 0 and y = mx. 2. Let F(x, y) = sin(x2y?), where x = sin(u) + cos(v) and y = eutu. Use the chain rule (substitution will earn zero credit) to find ƏF au
1. Consider lim (z,y)=(0,0) 2 + y2 Compute the limit along the two lines y = 0 and yma. 2. Let F(x,y) = sin(x”y), where = sin(u) + cos(u) and y = ew. Use the chain rule (substitution will earn zero credit) to find 3. Find the maximum rate of change of f(x,y) - eat (1,1) and the direction in which it occurs.
Find the limit, if it exists, or show that the limit does not exist. 1. lim (x²y3 – 4y?) (2,y)+(3,2) 2. lim 24 - 4y2 (x,y)+(0,0) x2 + 2y2 3. Find the first partial derivatives of the function of f(x,y) = x4 + 5.cy 4. Find all the second partial derivatives of f(x,y) = x+y + 2.x2y3 5. Find the indicated partial derivatives. f(1, y) = x^y2 – røy ; farzz, fryz