The cross product is neither nor. The dot product is not 01. Commutative 2. Associative 3. Associative 01. Commutative 2. Distributive 3. Scalar multiplicative 1. Commutative 2. Has the zero vector 3. Scalar multiplicative 1. Commutative 2. Associative 3. Commutative

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A: Please see the below picture for detailed solution.

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A: Topic- Functions and application of derivatives

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A: Here is the solution:

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Q: (3 Ln3 Se ad et +y -4n3 dx 2LnX e .dx 2₂2 √√2 Sxe (4) _x xé dx [Lnce)-Lnce") dx

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Q: State the domain: -8 -6 -4 -2 4- 2- 0 --2- 2 4 6 8

A: Solving the problem by finding the value of the domain of the given graph.

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Q: 6. Which of the following expresses (3√32 + √√8 ) in simplest form ? a) 3√40 b) 6√10 c) 3√2 d) 14√2

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Q: Question 5 b)

A: Please see the below picture for detailed solution.

Q: Solve the differential equation [cos (2y) — 3x²y²] dx + [cos (2y) - 2x sin (2y) - 2x³y] dy - a. sin…

A: Given: cos2y-3x2y2dx+cos2y-2xsin2y-2x3ydy=0

Q: c) an = d) an = 1 1 2² 2.1 2 1² + 1 + + 33 44 3.2.1 4.3.2.1 1 2 1 ਜਿਜ + 2² + 1 3² +1 4² +1 + ... + +…

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Q: 3 (a) Find general solutions of the given differential equations: (i) y'"-6y' +9y = 0, (ii) y" - 6y'…

A: Note:-  As per your request i have done both sub parts of part (a)

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Q: The magnitude of the vectors and are 2 and 11 respectively, and the angle between them is 53º.…

A: Given, |u|=2, |v|=11 Angle between u and v is θ=53°.