Find curl (8z i + 9xj+4y k). curl(8z i + 9x j + 4y k) = ( i )i + ( i j+( i )k

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A: Let's find.

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A: Given query is to find the derivative of the expression.

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A: Use geometric series sum concept

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A: Solving

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Q: H.W (5) Solve the following differential equations of (x'+y')dx+(2xy cos y)dy phee

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Q: Area A = 1,427 Calculate the definite integral f(x) dx by referring to the Area B = 2,460 Area C =…

A: Here we will find the definite integral,

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Q: Evaluate and simplify: sec(960°) – csc(960* 2/3 +6 A 3 6+2/3 B 3 2/3-6 6- 2/3 D 3

A: As we know that; The trigonometric identity; 1). 1cscx=sinx 2). 1secx=cosx 3). sin2×360°+x=sinx 4).…

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A: Given query is to find the amount accumulated.

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A: Given query is to find the solution of the system of equations

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Q: In(1+x) -x cosx -1 1. lim x-+0 7- In(2x + 3) 3. lim x-00 In(5x -2)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Regarding on the letter c, why is it equated to negative gamma?

A: c) The direction ratio of D→-C→ is -2, 5, -5 from part a. D→-C→ is normal to the required plane.…

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A: Solution is done in step 2

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Q: 6. Find the indefinite integral. S 3x³ V3x4 + 7 dx (Use substitution method)

A: Solving the problem by finding the value of integration.

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Q: 2. Use the Divergence Theorem to compute ffs F. dS for F = (xy, yz, x² z + z² ) and S the boundary…

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A: Solution:

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Q: 3. Draw an example where ja + D|

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Q: For a plane curve r(t) = (x(t), y(t)), |æ'(t)y" (t) – x"(t)y' (t)| (x'(t)² + y' (t)²)³/2 - k(t) Use…

A: Here we have to use this equation to compute the curvature at the given point.

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Q: '글 +2+글 +5 The sum +8+ +11 written in sigma notation is equal to 8 3k-2 A k=1 2 8 3k - 1 B k=1 8 3k…

A: The sum 1/2 +2+7/2 +5+13/2 +8+19/2 +11.

Q: Find the S(x* +) dx xe-1 А. 1x? + c e-1 4e xe+1 В. Ix2 + c e+1 2e xe+1 С. 1x3 + c e-1 Зе xe+1 1 D.…

A: Given query is to find the derivative of the expression.

Q: 3. Find the 23Td term of the arithmetic sequence whose common difference is d = 4 and whose first…

A: Find the 23rd term of the arithmetic sequence

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Q: 17. y dx — (х + бу?) dy %3D 0

A: To determine the solution of the given differential equation.