a -> Show that the given conditional statement (p ^ q) v (p^r) (qvr) is a tautology showing the series of logical equivalences.

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

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Q: Fill in the blank with an integer from 0 to 180. The degree of the angle between (1, -2, 1) and (1,…

A: To find the angle between given two vectors we will use the formula cos(θ) =a →·b →|a →|·|b →|

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A: Solution :  To find the range and domain of the given function is   f(x) = 1/(x^2 + 1 )

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A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

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Q: Question 1 See Handout 14. Let f(x) be a function of period 2π , where f(x) = 4x for 0<x< 1 and…

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A: we have to calculate given two integral using Simpson's rule and trapezoidal rule.

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A: Given: The set, n:=1,2,3,...,n. The uniform subset graph Un,k,i has vertex set the k-subsets of n.…

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Q: Obtain the MSE of f(x) = ex.

A: MSE = Maclaurin Series Expansion f(x)=ex formula f(x)=∑k=0∞f(k)(0)k!xk

Q: Suppose that at each birth, having a girl is not as likely as having a boy. The probability…

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