1. For which values of a, b is x^3 + a*x^2 + bx - 10 divisible by x^2+x-2 A) a = B) a = 6, b = 3 C) a = 2, b=0 D) a = 4 b = 12 1, b = -3

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A: Given  e3x=8 Taking ln (i.e., loge ) on both sides we get ln (e3x)=ln 8 ⇒3x=ln 8          [Applying…

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A:

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A: According to question,Given expression,3.50.3x - 1.5y-40.2x-1.2y

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A:

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A: we have to find the integral

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A:

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A:

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A: The given expression is

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A: The objective of this question is to use the Squeeze Theorem to show that the limit as x approaches…

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A:

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A: Given:            (a−5)6

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A: We have

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A: Topic:- simplification

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A: Given: 4(5+6)=

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A:

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A: given e2z=3+i to find the value of z, take log on both sides

Q: 3. Identify all the cycles at each node of the directed graph above.

A: Cycle is defined as a path that start and end at the same vertex.

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A:

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A:

Q: 1) 6dx 3/3

A: ∫33361+x2dx=6∫33311+x2dx=6tan-1x333=6tan-13-tan-133=6tan-13-tan-113=6π3-π6=2π-π=π

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A: Given that,       7x428x7 = 14x3     (By exponent rule    xmxn=xm-n)

Q: The value of 1+5+ () () -)-)-) ) 15504 4845 3876 684

A:

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A: -83

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A:

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A:

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A: The value is:-

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A: First we solve the inequality. ANd for that , we divide both sides by -6 .And on dividing by…