Good afternoon,Unsure how to approach this. x = psin cos 0,y = p sin osin 0,z = p cos o.Find the 3 × 3 matrix J of partial derivatives whereმე მემp მდis the first row. The otherrows are obtained by switching from x to y and z. Compute det J. Then dV in sphericalcoordinates is | det J dpdøde, the volume of an infinitesimal coordinate box.

detJ=p^2sin(phi)V=4/3(pi)p^3Explanation:Step 1: Step 2: Step 3: Step 4:

Answered: x = psin cos 0, y = p sin osin 0, z = p…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 21E

See similar textbooks

Similar questions

Evaluate. where G is a solid that lies in the first octant bounded by x^2 + y^2 = 3z and z = 3.
linearise R = AT + BT2
The equations ry? + 5xzcos(u) + ye" = 10 and x³yz + xe" – 10u2v² = 30 are solved for u and v as functions of x, y and z near the point P where (x,y,z)=(1,1,1) and (u, v) %3D (풍,0). Find (을),y at P. du Türkçe: zy? + 5æzcos(u) + ye" = 10 ve r³yz + xe" – 10u²v² = 30 denklemleri P noktası (x.y,z)=(1,1,1) ve (u, v) = (5,0) civarında xy ve z'nin fonksiyonu olmak üzere u ve v için çözümlü olsun. P'de ()2y yi hesaplayınız.) du dz -25,00 O 80,00 10,00 O - 100,00 -0,20
Find the mass M of a fluid with a constant mass density flowing across the paraboloid z = 36 - x² - y², z ≥ 0, in a unit of time in the direction of the outer unit normal if the velocity of the fluid at any point on the paraboloid is F = F(x, y, z) = xi + yj + 13k. (Express numbers in exact form. Use symbolic notation and fractions where needed.) M = Incorrect 31740πσ > Feedback Use A Surface Integral Expressed as a Double Integral Theorem. Let S be a surface defined on a closed bounded region R with a smooth parametrization r(r, 0) = x(r, 0) i + y(r, 0) j + z(r, 0) k. Also, suppose that F is continuous on a solid containing the surface S. Then, the surface integral of F over S is given by [[F(x, y, z) ds = = D₁² Recall that the mass of fluid flowing across the surface S in a unit of time in the direction of the unit normal n is the flux of the velocity of the fluid F across S. M = F(x(r, 0), y(r, 0), z(r, 0))||1r × 1e|| dr de F.ndS X
Find the four second partial derivatives. z = 7x2 + y9 a²z ax? azz дхду дудх az ay? %3D II II II
Integrate zez² dz where C from 1 along the axes to i
Let X ~ Uniform(-1,1) and Y = X² , find the CDF and PDF.
Distinguish briefly the Skewness and kurtosis
Find div F and curl F if F(x, y, z) = xz*i+ 6y°x²j+42²yk. div F= curl F=
Find div F and curl F if F(x, y, z) = 14y6z5i — 7x³z¹0j – 5xy¹k. div F= curl F=
Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e -4X, and the line x = 5 about the y-axis. 1 O A.-제1-20e-20) 1 B. g지1-21e-20) OC. - g7(1 + 21e -20) O D. 87(1 - 19e -20)
Find a center of mass of a thin plate of density 8 = 6 bounded by the lines y = x and x = 0 and the parabola y = 2-x² in the first quadrant. x=y= (Type simplified fractions.)

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

SEE MORE TEXTBOOKS