Suppose A is a 3×3 symmetric matrix such that [x_y_1]4|\y=xy-1. X If p is the number of positive eigenvalues of A, q = rank (4) - p, then 1 a) P=1 b) P=2 c) 9=3 d) 9=1

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Q: Find a power series solution of y" + (1+x²)y=0 13 5 + a. ao(1-x². √x6+)+ a₁(x-²x³- -x² +) - 24 720…

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Q: Identify and use traces to sketch the surface 1. y= 9 - x2 - z2 2. y = 4 - z2

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Q: Draw the missing figure on the sequence below and provide solution/explanation: O O

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Q: Example 2.29. Find the smallest root of the equation X X 1-x+ + ... = 0 (21)² (31)² (4!)² (5!)².

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Q: Consider the following sequences n In (1 + n) (ii) e²/(n²+1), (iii) √√n²+2n -n. Which of the above…

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Q: 3. If m varies inversely as g, and m 16 when g = 9, find the value of m when g = 20.

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Q: 1. dy +4- dt 5y = 0 dt2 y(0) 11, y'(0) = -7 =

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