12. Convert to polar coordinates and evaluate: 1 LL62 +7) dydx + y2 +
5.Use polar coordinates system to evaluate: x2 + y2)dydx , R is the region enclosed by 0 <x< 1 and, -x sy sx
-x2 (b) Interpret integrating IL x2 + y2 dydx as a volume and calculate the integral without -V1-r2
Evaluate the iterated integral by converting to polar coordinates points) | sin(x² + y2)dydx T SHARE Y COMO
Please quickly and
clear
Given 11, 6**** 1x2 + y2 dydx. Rewrite the integral in polar coordinates. Select one: radrde O b. Card ST S" Srdr ST rdrde rPdrdo O d.
Find the volume of the four-dimensional sphere x2 +y2 +z2-900 by evaluating 161 Jdw dz dydx a. 12,150,000x b. C. 540, 000m2 18,000 π2 405, 000m2 e. 36,0002
question2
1. Interchange the order of integration and evaluate the integral so Ix y dydx. 2. Use Lagrange multipliers to find the points on the curve x4y= 16 nearest the origin. 1 1:2:1 fitant that 1 here the one 7 36r2 + va
Covert 1 = 83 84-** S*-**-»* dz dydx to an equivalent integral in cylindrical coordinates. Let be the region bounded below by the cone z = and above by the sphere x2 + y2 + (z - 1)2 = 1. |3x² + 3y² Set up (Do not evaluate) the triple integral in spherical coordinates to find the volume of D.
An aqueous reaction occurs by a two-step mechanism, shown below. Step 1: A2X2 + Y → A2X + XY Step 2: A2X2 + XY → A2X + X2 + Y In this reaction the intermediate is ________, and the catalyst is ________.
Reverse the following integrals dzdy dxdy dxdy 2 + 1-2 2 dydx +! dydx J-11-V1+2