Prove that if ni is a positive integer, a± 0

Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

A:

Q: Sara draws the 4 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: Given, Sara draws the 4 of hearts from a standard deck of 52 cards without replacing. a) we know…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: Let Sy := {1-(-1):NEN. Find iNf Sy and sup Sy

A:

Q: Let a, b € Z with a | b. Prove that an | bn for every positive integer n.

A: Given that           a, b∈ℤ with a|b. To prove an|bn  , we shall use mathematical induction.

Q: S[e²t. √4+e²] dt

A: Evaluation of the indefinite integral, by using substitution method

Q: 14. Prove that AC B if and only if An BC= 0.

A: The objective is to prove the above question.

Q: [1 1 -1] 1 0 Lo Let A 0). Find A-1. (Show all work.) 1

A:

Q: In2 Find the definite integral dt O O O

A: Solution given below:

Q: Prove that if b and c are odd, then a bc = a a ()) b C

A: Using definition of Jacobi symbol