25 ++ z=sqrt(x^2 y^2) 324090-Z=sqrt(x^2+y^2) in polar coordinates

16 2 Vector Fields And Line Integrals Work Circulation And Flux

16 2 Vector Fields And Line Integrals Work Circulation And Flux

Figure 2 Part of the region S bounded by x2z2 = a2 and x2 y2 = a2 for x ≥ 0 Note that the projection of region S1 on the y − z plane, call it R is a a square 0 ≤ y ≤ a, 0 ≤ z ≤ a We breakUnlock StepbyStep x^2 (ysqrt (x^2))^2=1 Natural Language Math Input NEW Use textbook math notation to enter your math Try it × Extended Keyboard Examples

Z=sqrt(x^2+y^2) in polar coordinates

Z=sqrt(x^2+y^2) in polar coordinates-The square root keeps us from going above that point z=4 if we manipulate the equation and isolate x 2 y 2 we get x 2 y 2 = 16 z 2 (remember that since we have a square root in our original function, we have to consider it's domain in our graph, meaning zR r = \sqrt { x ^ { 2 } y ^ { 2 } z ^ { 2 } } R r = x 2 y 2 z 2 The equation is in standard form The equation is in standard form rR=\sqrt {x^ {2}y^ {2}z^ {2}} r R = x 2 y 2 z 2 Divide both sides by r Divide both sides by r \frac {rR} {r}=\frac {\sqrt {x^ {2}y^ {2}z^ {2}}} {r}

Given The Cone S 1 Z Sqrt X 2 Y 2 And The Hemisphere S 2 Z Sqrt 2 X 2 Y 2 A Find The Curve Of Intersection Of These Surfaces B Using Cylindrical

Given The Cone S 1 Z Sqrt X 2 Y 2 And The Hemisphere S 2 Z Sqrt 2 X 2 Y 2 A Find The Curve Of Intersection Of These Surfaces B Using Cylindrical

Step 1 deriv = D D E^ (I* ( (k)*r t \ Omega))/r / r > Sqrt x^2 y^2 z^2, x, y Step 2 PowerExpand deriv / {x^2 y^2 z^2 > r^2} Share Improve this answer Follow this answer to receive notifications edited Aug 5 '14 at 1222 answered Aug 5 '14 at 811The cone z = sqrt (x^2 y^2) can be drawn as follows In cylindrical coordinates, the equation of the top half of the cone becomes z = r We draw this from r = 0 to 1, since we will later look at this cone with a sphere of radius 1See the answer See the answer See the answer done loading

Easy as pi (e) Unlock StepbyStep Natural Language Math Input NEW Use textbook math notation to enter your math Try itGet stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!Calculator Use Enter 2 sets of coordinates in the 3 dimensional Cartesian coordinate system, (X 1, Y 1, Z 1) and (X 2, Y 2, Z 2), to get the distance formula calculation for the 2 points and calculate distance between the 2 points Accepts positive or negative integers and decimals

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