Use the laws of logarithms to write each expression as a single logarithm. (a) 3log(x) - 4log(y) = (b) —In(x) — 3ln(y) — 6ln(z) = (c) in(x + 3)³ – 1⁄2 [in(x6) – In(x² + 4)²] =

Q: 4. If we randomly pull a number from B, what is the probability that it is also an element of A? P…

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A: To evaluate the integration.

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A: SOLUTION-

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A: We will write x as a linear combination of a and b as follows :

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A: We need to perform left endpoint approximation.

Q: Suppose that 103 Σ ai = 19 and i=1 103 i=1 b₁ = 18. Compute the sum.

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A: Use 2 chords power theorem

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A: It's trigonometric question so I'm providing hand written solution for better understanding.

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A: Will use basic trigonometry to solve this. Particularly we will use sine of x.

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A: To find x.

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A: The solution is:

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A: 5. In the given right triangle , the hypotenuse is 41 and the perpendicular length is 40. Apply the…

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A: We can use the concept of Pythagoras theorem to solve the given problem.

Q: 21

A: for triangle ADB, use the Pythagorean theorem  AB2=AD2+BD2 x2=42+BD2 x2-42=BD2 x2-16=BD2 BD2=x2-16