Let X be a uniform random variable on the interval [-1, 3] such that: u2 + 4Xu + 1 = 0. 1. What is the probability that this equation has complex roots? 2. What is the probability that this equation has real roots distinct roots? 3. What is the probability that this equation has a double root?

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A: Given integral is      (1) Its reduction is ∫Ax+Bx2+1+C(3x+2)+D9x2+12x+16dx We can write it as…

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A:

Q: Example 3; if 0=300 between A"and B'find q value? A*=2f +2j +4k , B²=qî +î -2k

A: Solution: The objective is to find the value of q

Q: second

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A: We have to find integral

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A:

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A: Given that , Linear differential equation-A linear differential equation is defined by the linear…

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A:

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A: The rules of inference is written in respective lines that has been used in the proof.

Q: (2x) (3y+8) (2x+4) R 5. mZQ = mZO =

A:

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A: We will solve this

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A: We will apply the properties of inner-product to prove the given statement.

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A:

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

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A:

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A: Given  115 (2x+5) = 19 (x+2)⇒ 93 (2x+5) = 155 (x+2)⇒ 3 (2x+5) = 5 (x+2)

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A: Non zero ordered pair

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A:

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A: Disclaimer: Since you have asked for hand written solution and currently we are not providing any…

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Q: 9.6 (4x 5) Add the following. ldentify NPVS X²-4x X8-X-6 4x-4 x8-x-6

A: We have to add the given functions.