Use Gauss' theorem to evaluate F.ndS for the given F and o. (b) F(x, y,z) = x³i+x²yj+xyk, o : the closed surface enclosing the solid bounded by the parabolic cylinder z = 4-x2 and the planes y + z = 4, z = 0 and y = 0.

Q: -1 X+1

A: ∫x6-1x2+1dx=∫x6x2+1dx-∫1x2+1dx=x55-x33+x-arctanx-arctanxAdd a constant to the…

Q: The expansion of (1 - x)® = A 1+4x - 7x² + . B 1- 4x + 7x2 - C 1+ 4x - 7x2 + Đ 1- 4x + 7x² – 23.

A: Please see the explanation below

Q: This answer is incorrect. The correct answer is (100/50!)^2.

A: The answer cannot be

Q: (6-7i)^-1

A:

Q: I-11 Evaluate the following integral dr. (z² + 9)(z + 2) Maximum number of characters (including…

A:

Q: Find the coefficient of a3b9 in the binomial expansion of  (36a - 1/6 b)^12

A: Answer

Q: What is equal (1+5 k+3 j) (1+2 i+3 k) ^{- 1} Write the coefficient at j & k ?

A:

Q: what is the coefficient of x^4 in (2x+1)^5

A: 2x+15 Comparing with a+bn, we get a=2x,  b=1  &  n=5

Q: express     n-1 Σ((k^2)/n) k=1   in closed form.

A: The given question is related with closed form of finite sum. Given that,…

Q: Write out the first three terms in the expansion of (x + y)^20

A:

Q: Divide x+2 x²+3x-10 x²-2x-8 x+3

A: We know that the divided can change multiplication then numerator and denominator are change…

Q: form of (3+3i)^5

A: Given,      (3+3i)5

Q: What is mEG 3x 4x-64 G. mEG

A: Given data: The length of the arc mEG⏜=3x The length of the arc mEF⏜=4x-64∘ The length of the arc…

Q: 4x-3x² +1 (7) x-2

A:

Q: 286/2

A:

Q: what is the coefficient of X^9 in (x+3)^13

A: An algebric expression of two number connected by operations "+" or "-" is called binomial. The…

Q: 2 S²3 (x²-3x+18) 9x-X³

A:

Q: 5/2 • 9/10 in simple form

A: The simpe form of 5/2 • 9/10  is,

Q: 2 x + 3x - 54 x³+4x² 2 x² - 81 3 χ’ – 9x 2

A:

Q: * (51) + (1- 31) (Ada) (5-si) (-1+si) (multi ply) (multiply)

A:

Q: Let X = {a, b, c, d} and TX = {ø, X, {b}, %3D {b,c}, {a,b,d}} be a topology on X. Let Y = {1, 2, 3,…

A: A function is continuous if and only if inverse image of every open set is open

Q: Find the binomial expansion of (3a+2b)^6

A: In this question, we find the binomial expansion of (3a+2b)^6.

Q: 1/12 - 7/6 divide 5/8 times 1 1/2

A:

Q: How do you compute the following

A: From the provided information, Number of observations (n) = 16 Arranging the data into ascending…

Q: 16/8x/4/8x

A: For the fraction in the denominator, we'll flip it and multiply with the fraction of the numerator.

Q: Evaluate (1-i)^⅛ 1.0392 + 0.1024i 1.0392 - 0.1024i 0.1024 - 1.0392i 0.1024 + 1.0392i

A: