Give a direct proof of the claim: Vn E N, if the last two digits of n are divisible by 4 then n is divisible by 4.

Q: Find the value of n(An B) if n(A)= 6, n(B)= 9, and n(A U B)= 11. n(An B) =(Type a whole number.)

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Q: Suppose we define a function f(x) by f(x) = a1 sin(x) + a2 sin(2x) +· + an sin(nx), .. for constants…

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Q: Determine if 0 >=(61-6-J-RA) is in the span of = 0

A: Given: -1225 To check:If -1225 is in the span of Φ=1100, 1001, 0110, 0011 or not.

Q: Let P = (4, 1, a), Q = (-2, 0, b) and v=i − 3j + 4k be two points and a vector in R³ respectively.…

A: The given points are 4,1,a and -2,0,b. The given vector is v=i-3j+4k in ℝ3.   The vector equation of…

Q: The value of (1 - i)24 is /2)24 6in O 212 O (2)24 -212 o None

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Q: Problem 1.9. Find the following a) Arg(-6-6i) b) Arg(-) c) Arg(10i)

A: To find the arguments of the following:Concept:To find the arguments of complex numbers, Use the…

Q: Show that if n is any integer, then 3 divides n3 − n

A: To prove:  if n is any integer, then 3 divides n3 − n. Concept used: Here we shall use the identity:…

Q: P+ हे-a+7 +4x 15 Put +axŅ if

A: Given rt→=ti^+lncostj^ We have to write a→ in the form a→=aTT→+aNN→ Where, aT=ddtv and aN=aT2+a2…

Q: marhs ASSIGHENT use mathematical Induction to thad prave (on-)(an+2) for bnt4 10 40 88 att nEN

A: To prove the given statement by mathematical induction.

Q: . Verify the formula п(n + 1) 2 for n = 10, 50, and 100.

A: ∑x=1nx = n(n+1)2To verify the formula for n = 10, 50 and 100.

Q: Let A = {1, {b}, {1, b}} a. Place an e or in the blank to make each of the following statements…

A: ● Let x be an element of a set A , then its denoted as x∈A .● If All elements of a set B is present…

Q: "find A2, A−2, and A−k (where k is any integer) by inspection."

A: NOTE: Refresh your page if you can't see any equations. . use the diagonal matrix formula

Q: Evaluate the gcd and lem of the following pairs of numbers a and b. a. a=360 and b=594 b. a=5040…

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Q: Let ab be a two-digit number where a is the tens digit and b is the ones digit. Find the number of…

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Q: If 2ª = 3b then =? O 1.4 O 1.5

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Q: From a point 4 miles north of a cell tower, a hiker walks 2.5 miles west. How far is the hiker from…

A: Let us first make a diagram to understand the problem better. The hiker is initially at A, 4 miles…

Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: License plates in Oklahoma are of the form A BC123 4, where the first three spaces on the plate can…

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Q: Give a direct proof of the claim: V n E N, Vk E N, if the last k digits ofn are divisible by 2k then…

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Q: - Find every positive integer n with the property that 2" - 1 is divisible by n.

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Q: The S.D. of the first n odd integers is √85 , find n

A: Sum of first n odd numbers is given by: ∑ixi=n2 Sum squares of first n odd numbers is given by:…

Q: the min of carb in the mtcars (in R) is 02 O 09 7 1

A: Here we have to find the minimum value for a carb column in the mtcars data set in r-software. First…

Q: where did the 26 and 10 come from?

A: where did the 26 and 10 come from?