A recursive way to define the set E C Z of even numbers is: • Base case: 0 E E • Constructor cases: If n E E, then ... Choose all the following cases needed to complete this defintion. O n +1 € E, if n > 0 n + 2 € E, ifn >0 —п€ E, if n < 0 O -n e E, if n > 0

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Q: 2) In your own words, explain when you need to use the chain rule. Demonstrate with an example.

A: The chain rule is used to find the derivative of the composition of two functions .

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Q: 4) The first term of an AP is 3 and the last term is 17. If the sum of all terms is 150, what is the...

A: see the attached image below

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Q: I Solve the differential eauations 4. (D7D+19D+13)y =0 when x-0, y=0, y'=2, y"= -12, find y()

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Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 52n 3 16 ac? c- B' n-3 Türkçe...

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Q: -2 -3 9 -3 Let W be the set: Determine if Wị is a basis for R' and check the correct answer(s) below...

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Q: 1. y = xcsc + V1 – a?

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A: This is a problem of Number Theory.

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Q: 37. Let the universal set U = {x | x is a non-negative integer}. Let A = {x EU | x is divisible by 6...

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Q: 36. Let the universal set U = {r | x is a non-negative integer}. Let A = {x E U | x is divisible by ...

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Q: Consider the polar equations r = 9+8 cos(0) and r = 9+8 sin(0), whose graphs are shown below. 15 10-...

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Q: Suppose x and y are positive real numbers. If x< y, then x² < y².

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Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

A: we have to find familie of parabolas with vertex at (h,-3) and which is open to the left 

Q: DIFFERENTIAL EQUATION (D3 +7D² + 19D + 13)y= 0 When x = 0, y = 0, y' = 2, y" = -12 %3D Find y )

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Q: 3. f (t) = 2t – Si sin(t – 7)f (7) dr - - 4. f (t) = e' – S elt-r) f (7) dr

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Q: fx*( +In x)dx

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Q: The nth term of a sequence is given by an find the first two terms. %3D n+1"

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Q: Find the three cube roots of 1

A: let x be he cube root of 1 x=13 therefore x3-1=0 use the formula a3-b3=a-ba2+b2+ab x3-13=x-1x2+12+x ...