3 =+1)

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A: topic- definite integral

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Q: 11.) Solve using matrices and Gaussian elimination: x+y+z= 9 -x-3y + 2z = 10 2x + z = 9

A: Please see the below picture for detailed solution.

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A: Let's find center of mass.

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A: Let us assume it takes n half-lifes to reach 10mg

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Q: 12.) Use the laws of logarithms to combine: 1 2 log x log(x² + 1) - 2

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Q: 8.1 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION.

A: To find out the family of curves whose slope is given.

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Q: 7π| A d) S_T/A (sin x + cos x) dx

A: We will evaluate the given integral in the following step.

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A: The given integral is:…

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

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Q: (c) 1 e¹/x x² dx

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Q: Tutorial Exercise Find the Taylor series for f(x) centered at the given value of a. [Assume that f…

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A: Let's evaluate limit.

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A: Expand series and solve

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A: follw the procedure given below.

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