Verify Stokes's Theorem by evaluating F(x, y, z) = xyzi + yj + zk S: 8x + 8y + z = 16, first octant line integral √ F.T ds = [F. double integral F. dr as a line integral and as a double integral.

Q: 1+1(9)-20

A: The given expression is 1+1(9)-20 When we multiply any number by 1 the result is 1. So when we…

Q: y"+y' - 2y = x2

A: Solution :-

Q: 5 16 x + 2 5 10) x + 2, 1 + 4 4

A:

Q: x+1 8) x+ 1 x + 1 x - 5 16 16

A:

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A:

Q: Problem 1. Do the following sets of vectors span R3? Select an Answer 1. 2 -8 2 2 -8 -1 2 Select an…

A:

Q: 8n+5 II (1+i) = k=1

A: To find ∏k=18n+51+i:

Q: K ォ-2 L. M. 12x-22

A:

Q: Q 6-10- 11 by using product rule

A: Consider the given function:…

Q: 6-7:

A: 6-7=-1

Q: 10(z + 4) - 4(z - 2) = 3(z - 1) + 2(z - 3)

A: Given equation is,

Q: 7 - 6(1- 2x)

A: Topic:- algebra

Q: 3.9b + a3 + 27 - 3a2 + 5a3 - 2a2 + 2.1b + 7

A:

Q: Find the center and radius of each circle. 1. x2+y2 25 2. (x- 1)2+ (y+ 1)2 = 49 3. (x+ 2)2 + y2 = 36…

A: The general equation of a circle is (x-h)2+(y-k)2=r2,  Where h= x-coordinate of the center of circle…

Q: 2 3 A=0-1 3 [1 -1 6] B-4 0 [4 3

A: Given matrices are We will find the product BA as follows.

Q: Graph the polar equation. r-4 cos 0 1444 1234.

A: To graph the given polar equation.r=4 cos θ

Q: 35 + 5 (S-5)(5+)

A:

Q: 2(3+3+9-8)-6

A: Given data:- 2(3+3+9-8)-6

Q: 3 2 -4 - -47 1 -3 1 6 -2

A: We will find  the required.

Q: 1 2 34

A:

Q: 8+2z+6(z-1)

A: Given,

Q: Theorem 9 Let {um}=-5 be a solution to Eq. (18) and suppose that u-s = a, u-4 = b, u_3 = c, u_2 = d,…

A: We are asked to show the following equation, u8n-3=c2ne2n∏i=12nic+a∏i=12n-1ie+c Using the identity,…

Q: 4 1 -5-4 -3 -2 -1 1 2 3 45 -1 -2 -3 -4

A: Define inflection point: The inflection point is defined as the point on the curve where the…

Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

A:

Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: 4 3 -5 -4 -3 -2 -1 -1 1 2 3 4 5 -2 -3 -4 -5+

A:

Q: (-13)+(-3=)

A:

Q: : (3z - 16) + (2z - z+ 4) : (z + 3z) + (x? - 5z - 12) : (4z? – 7z + 18) – (2z² - 5x + 30) : (7z + 4)…

A:

Q: The coordinates of three orners of a rectangle are A (2, 3), B (-5, 3), C (-5, -2). What is the…

A: a rectangle has opposite sides equal

Q: a-²b-6 a) 6-2а-4b-8

A:

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

A:

Q: Determine ¹ I 5s +1 s²-s-12)

A:

Q: -18,-15-12 Calculate T2

A: we have to find out

Q: 1 -4 4 0 - 1 3 -6 0 1 3 - 4 2 3 7

A:

Q: 3 2 25 +5² +85 +6 (S²+4) (S²+1)

A: Given that L-12s3+s2+8s+6s2+4s2+1