1. 2. Determine if each of the following limit exists. If it exists, find its value. (a) limn→∞ (b) limno (4+5+6n)1/n (c) limno tan ¹(n²/n) r (d) lim, o ¹-os Derive the following identities. (a) tan(cos-¹y)=√¹-² -1

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A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

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A: m5 ●x2 ●m4 / m2 = m9 ● x2 / m2

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A: Given,  a1a2a3b1b2b3c1c2c3=-2

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A: The given system of equation is: 4x+2y=22x+2y=4

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A: Solution  Given13 - (2n+2) = 2(n+2) + 3n=> 13 - 2n - 2 = 2n + 4 +3n

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A: Given: The matrix is A=124-3. To Find: 2A3-4A+5I.

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A:

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A: Given solution with condition is  yx=exAcos3x+Bsin3xy(0)=0y'(0)=1

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A:

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A: Integration  ∫3x2+6x+7dx

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A:

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A: Please see the below picture for detailed solution.

Q: Find the value of a, b, and c if (a+b)(a+b+c)=21, (a+c)(a+b+c)=35, and (b+c)(a+b+c)=42.

A: First we need to make some equations and the we have to simplify them in order to get a, b and c.

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Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

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Q: 10. Remove the parentheses by multiplication: a. 6(3a-4) = b. x(2x + 10) = c. 9(9x-9) = d.…

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A: Use cross product of vector

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A: