Look into the polynomial p(x) It is known from the polynomial that p(-3)=-1 and p(0)=3 Based on this information, can the sign of the coefficient of the quadratic term of the polynomial be determined? Based on this information, can the number of solutions to the equation p(x)=0 be determined?

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Q: (a) (AN B)':

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Q: By using Cauc hy laws find= Cos X.dx IT (x?+)) Sinx cos A) dx COS X e)

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Q: Solve the initial value problem + y cos x = dx sin 2x, y(n) = 0)

A: To solve the given initial value problem.

Q: a) V = R", (x, y) = (Ax) · (Ay) where A e Mn,n is invertible.

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Q: If p = (u, v, w), show that Ipl < lul + |미 + |wl а. b. Ju| < \pl, ]v] < \pl, ]w] < \pl.

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Q: Which of the following expressions represents the permutation of the 6 keys on a key ring? a.) 6P6…

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Q: 2 = 1+ 2i 2- i and w = what is z + 3w ? a. 7+i C. 5+ i b. 7-i d. 5-i

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Q: 2,- ( 3,7) and 2z=(-a , s), If then 2, + 22 is ? a. (-6,35) C. (1, 35) b. (1,12) d. (-6,12)

A: Solution : Given complex numbers  Z1 = (3 ,7) and Z2 = (-2,5)

Q: 5. Let A 3D, В %3 and C %3 Find a) (A · B)C b) А : (2С) c) ||B||2

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Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,…

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A: Given function is: fx=1+x+x2+x3+x4+x5