. Value of t such that vectors a=<1, 1, 1>, b=<2, -4, 0>, c=<1, t, 3> are coplanar.

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A: Let's find.

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Q: Find Ax) if A1) =-5, and the tangent line at x has slope (3x- 1)e*-2*.

A: The tangent line at x has slope 3x-1e3x2-2x and f1=-e2

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A: This question can be solved using the concept of area under curves.

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A: Solved below

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Q: бх-7 7. S dx (2х+1)(4x2+1)

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A: Given : f(x)=-2x+1.

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A: limn→∞7n2+3n+29n2+2

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A: A function is said to be continuous at x=a iff limx→a-f(x)=limx→af(x)=limx→a+f(x)

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A: Radius of convergence of the given power series  ∑n=0∞ 4n2+2nx-3n

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Q: write the function as a piecewise function. f(x) = ⌊3 − 4x⌋

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