Find * In(x² + 2x + 2) dx (x + 1)² In|1 + (x + 1)²| x +1 In|1 + (x + 1)2| x + 1 + 2tan-(x + 1) +c 2tan-(x + 1) + c Option 2 Option 3 - In|1 + (x + 1)*| x +1 + 2tan-"(x + 1) + c -In|1 + (x + 1)²l x +1 – 2tan-1(x + 1) + c Option 1 Option 4

Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

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Q: Find the value of the Boolean expression for (x1 ^ (x2 V (X1 A2))) v ((x1 ^T2) V (X1 A 3)|

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Q: The product of 2x3 + 3x? + 1 and 2x2 + 4 in z3 [x]/ is: 4x+1 x^2+2 5x^2+ 5x +1 None

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Q: 0- x²dx 6. 5 1 (1 — х2)2

A: Given integral is ∫-10x2dx1-x252dx

Q: 22. If f(x) 10 2x*1 and x is a nonnegative integer, show that f(x+ 2)- f(x) is divisible by 99.

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Q: express     n-1 Σ((k^2)/n) k=1   in closed form.

A: The given question is related with closed form of finite sum. Given that,…

Q: Where does (x-3)/(x^2 -6x+9) have a removable discontinuity?

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Q: Expand (x − 1)^5 using any method of choice

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Q: Let f(x) =  x^3 - x^2 -10x - 8 Factor f(x) into linear factors a) (x-1)(x+4)(x-2) b)…

A: Option (c) is correct See the calculation below

Q: Find the coefficent of x^6 in the following: (1 + 2x + 4x^2 + 8x^3 + ...)(3x^2 + 3x^4 + 3x^6 +…

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Q: The product of 2x³ + 3x² + 1 and 2x² + 4 in z5[x]/ is: 5x^2+ 5x +1 4x+1 O x^2+2 None

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Q: Let k(x)=〖2x〗^2-4x+6, find k(-3)

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Q: Simplify x-1/2(x/5 – x) + (* ¬/5 – 1) (x^/?), -

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Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

A:

Q: f A= [ 2  -3  1 ]          [ -4  3  1 ]          [   1  2 -1 ]   then 4A^t=?

A: the given matrix is: A=2-31-43112-1 the given expression is 4At

Q: ((1/z-6)-(1/z+6))/(12/z^2-36)

A: Given,

Q: Find the value of c such that the exp k^(2)+13k+c

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Q: Find A if -1 1 6 0] (2₂+4) - [11] A 36 -1 A =

A: In this question, we will find the matrix A.