39.
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Chapter 13 Solutions
Calculus: Early Transcendentals (2nd Edition)
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University Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
- Evaluate the integral -y? 2-x2-y2 | (x² + y? + 2?) dzdxdy 2+y² x2. by changing it to spherical coordinates. V2 1. I = 27 2. I = 2/2T 2/2 3. I 4. I = 27 ( V2 – 1) (v²- .2 5. I = 10arrow_forwardEvaluate the integral by changing to spherical coordinates. V 16 - x2 32 - x2 - y2 yz dz dy dx x²+ y2 + y2arrow_forwardUsing Cylindrical Coordinates find b so that an integralarrow_forward
- uestio In changing variables to spherical coordinates, the dV in I| f(x, y, z) dV becomes p cos o dp do d0. O Truc False The in an interval, A the area ofa region and // av thearrow_forwardFor an area A in the x-y plane, in the expression I₂ = 1x + ly, the term /₂ is the: Minimum rectangular moment of inertia or second moment of area. O Product of inertia. Polar moment of inertia. O Maximum rectangular moment of inertia or second moment of area.arrow_forwardUse quadrilateral JKLO. 2 -2 0 What are the coordinates of the image Ry-axis(JKLO) = JK'L'O'? %3D J = ( K ( L' ( O = ( Review pro 2.arrow_forward
- Course Title: Coordinate Geometry & Vector Analysis Course Code: Math 201 Time: 20 Min 1. Find div F and curl F, where F(x,y,z) = sin(xy) z*i + y tan(z²)j – ze²k 2. Evaluate (36-x²-y² y?dzdydx by using 36-x2 cylindrical coordinates 3. 2π π. Convert (2,,") from spherical to cylindrical coordinate 3arrow_forwardEvaluate the spherical coordinate integral 2 x 3 sin S S p² sin dp do do. 000arrow_forwardConverting from Rectangular Coordinates to Spherical Coordinates Convert the following integral into spherical coordinates: y=3 x=√√9-y²z=√√/18-x²-y² , , x=0 y=0 [ (x² + y² + z²) dz dx dy. z=√√/x² + y²arrow_forward
- Caluelake the integral using polar coordinates 2. +y? dAarrow_forward"LTO V If the integral √10√10-x² 20-x²-y² ·b₁ pbz pb3 15 Joy J02 №0₂ f(x,y,z) dzdydx is rewritten in spherical coordinates as g(p,4,0) dpdøde, then a₁+₂+3+b₁+b₂+b3=arrow_forwardConvert the given integral to cylindrical and spherical coordinates. Do not evaluate the integrals. V1-x²-y² Vx² +y² +z°dzdxdy the integral in cylindrical coordinates the integral in spherical coordinates a) Set up b) Set dnarrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
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