• S / SE x² + y² + ₂²: = 36 in the first octant. Evaluate 1 dV, where E lies between the spheres x² + y² + z²: = 16 and x² + y² + z²

Q: 1 [[ ] ₂²² + 3² +2² dV, where E lies between the spheres x² + y² + 2² = 25 and E = 36 in the first…

A: We have to evaluate: ∭E1x2+y2+z2dV. Here E lies between the spheres x2+y2+z2=25 and x2+y2+z2=36.

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A: given  f(x,y,z)=tan(4x+5y+z)we know that formula of gradient field is→gradient…

Q: • J / S₁ (²²+ // Let E be the solid below z = 72-x² - y² and above the square [-6, 6] x [-6, 6]…

A: Let E be the solid below z=72-x2-y2 and above the square [-6,6] x [-6,6]. And density is ρ=5. To…

Q: Evaluate /// 2xz dV where E = {(x, y, z) | 2 ≤ x ≤ 4, x ≤ y ≤ 2x,0 ≤ z ≤ x+2y} E

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A: Negation of and is or   Negation of or is and

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A: We have to evaluate the integral. We will use Green's theorem to evaluate the integral.

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A: First of all, we will differentiate then we will put the values of x and y

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Q: Let p, q, r be the propositions: p: The user enters a valid password. q. Access is granted. r. The…

A: Given: p: The user enters a valid password.            q: Access is granted.            r: The user…

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Q: Evaluate the integral [[(x + y). e²²-1²dA, where R is defined by x +y = 3, x+y = 7, R x² - y² = -1,…

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Q: Let w(1, y, z) = -zy arcsin(z) where z=t", y=t, z = 7t. dz dw dt dz dy dt' dt & and using the chain…

A: Given: wx,y,z=-xyarcsin(z)where x=t4,  y=t3, z=7t To find: dwdt

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A: We will use the concept of Trigonometry to solve this question. Consider that,

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