Question

Use Polar coordinates to find the limit?

1.) A.) Use polar coordinates to find the limit. [If (r, theta) are polar coordinates of the point (x, y) with r >= 0, note that r --> 0 as (x, y) --> (0,0).] (If an answer does not exist, enter DNE.)
lim(x,y)?(0,0)(x^3+y^3)/(x^2+y^2)

B.)Find the limit, if it exists. (If the limit does not exist, enter DNE)
lim(x,y)?(0,0)(x^4?y^4)/(x^2+y^2)

C.) i.Findh(x, y) =g(f(x, y)).
g(t)=t+ln(t), f(x,y)=(1?xy)/(1+x^2y^2)
h(x,y)=_____________

ii.Find the set on which 'h' his continuous.

D.)Find the limit, if it exists. (If the limit does not exist, enter DNE)

lim (x,y)-->(0,0) (x^2+y^2)/(sqrt(x^2+y^2+1)-1)

We need at least 10 more requests to produce the answer.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

All students who have requested the answer will be notified once they are available.

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• Exercise 2: Find the limit if it exists, or show that the limit does not exist... Exercise 2: Find the limit if it exists, or show that the limit does not exist (10pts) lim (5x - xy?) ( 2.2) lim e "cos(x + y) 4 - xy lim (x,y)=(2, 1) x + 3y? lim In (1.0) 1 + y2 x + xy lim (29) 0,01 x + 2y? 5y' cos'x ( 20) x + y y sin? lim (y)-> (0,0) x + ху - у lim (y=0.0 (x - 1)2 + y2 xy lim lim (...

• can you help me with two question, please 1/1 points v Previous Answers SESSCALC2 11.2.009.MI. My... can you help me with two question, please 1/1 points v Previous Answers SESSCALC2 11.2.009.MI. My Notes Find the limit, if it exists. (If an answer does not exist, enter DNE.) Xy lim (x, y)-(0,0) x2 + y2 O , 1/1 points Previous Answers V SESSCALC2 11.2.015. My Notes Find the limit, if it exists. (If an answer does not exist, enter DNE.) Xy + 5yz? + 6xz (x, y, z)=0.0.0) x2 + y2 + 24 DNE ,

• Why is the answer DNE? Please show work, and thank you! Find the limit (if it... Why is the answer DNE? Please show work, and thank you! Find the limit (if it exists). (If an answer does not exist, enter DNE.) 18 lim (x, y) = (0,0) x3y4 DNE Need Help? Read It Talk to a Tutor

• The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does not exist, enter... The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does not exist, enter DNE.) (a) $$\lim _{x \rightarrow 2}[f(x)+g(x)]$$(b) $$\lim _{x \rightarrow 1}[f(x)+g(x)]$$(c) $$\lim _{x \rightarrow 0}[f(x) g(x)]$$(d) $$\lim _{x \rightarrow-1} \frac{f(x)}{g(x)}$$(e) $$\lim _{x \rightarrow 2}\left[x^{3} f(x)\right]$$(f) $$\lim _{x \rightarrow 1} \sqrt{3+f(x)}$$

• Use properties of limits and algebraic methods to find the limit, if it exists. (If the... Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter 'se' or '-co', as appropriate. If the limit does not otherwise exist, enter DNE.) 10 - 2x if x < 2 lim Rx), where f(x) = - X if x 22

• Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)$$\lim _{x \rightarrow-1} \frac{x^{2}+9 x+20}{x+1}$$

• Find the limit, if it exists, or show that the limit does not exist. 1. lim... 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

• (1 point) Suppose ?(?,?)=4??/2?^2+5?^3. f(x,y)=4xy/2x^2+5y^3 and consider lim(?,?)→(0,0)?(?,?).lim(x,y)→(0,0)f(x,y). Compute the limit along the line ?=??y=mx where...

(1 point) Suppose ?(?,?)=4??/2?^2+5?^3. f(x,y)=4xy/2x^2+5y^3 and consider lim(?,?)→(0,0)?(?,?).lim(x,y)→(0,0)f(x,y). Compute the limit along the line ?=??y=mx where ?≠0.m≠0. Limit is  (Your answer may depend on ?.m.)Compute the limit along all paths: lim(?,?)→(0,0)?(?,?)=lim(x,y)→(0,0)f(x,y)= Note: Enter "DNE" if a limit does not exist.

• Please answer both 1.1 and 1.2 Question 1.1: Enter the value of the following limit if... Please answer both 1.1 and 1.2 Question 1.1: Enter the value of the following limit if it exists, or enter DNE and upload an explanation of why the limit does not exist: Question 1.2: Enter the value of the following limit if it exists, or enter DNE and upload an explanation of why the limit does not exist: We were unable to transcribe this imagelim f(a) x +3+ lim f(x) 270-

• Double Intergals in Polar Coordinates: 4. Use polar coordinates to find the volume of the solid...

Double Intergals in Polar Coordinates: 4. Use polar coordinates to find the volume of the solid that is bounded by the paraboloids z = 3x^2 + 3y^2 and z = 4 ? x^2 ? y^2. 5. Evaluate by converting to polar coordinates ? -3 to3 * ? 0 to sqrt(9-x^2) (sin(x^2 +y^2) dydx 6. Evaluate by converting to polar coordinates: ? 0 to 1 * ? -sqrt(1-y^2) to 0 (x^2(y)) dxdy