Select true or false for each statement. 1. The vector b is in the kernel of T 2. The vector c is in the range of T

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Q: 2. (Section 17.6) Evaluate Jy²ds where S is the part of z = 3 + y inside a² +y² = 9. S

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Q: -10 Calculate M¹0 using a diagonalization process. M = 2 5 - 4 1 4 has eigenvalues, 1 1.

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Q: Example 4.5 Find the convolution of the two continuous-variable f(x) = e-x² and functions g(x) = 3x²

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Q: 1. Show that 1+2+3+4++ n = (n+¹) for integers n ≥ 1 using induction

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Q: Consider the following differential equation.. y" - y' 30y = e6x Write the given differential…

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Q: . Find (with proof) the infimums of the sets S = {1/n: n = N*} and T = {(-1) / n:n = N*). Is either…

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Q: By applying the appropriate substitution to the following Euler differential equation…

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Q: 14. Discuss the differentiability at x = 0 of the function 1 x sin -, x = 0, x f: x→ 0, x = 0.

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Q: dž dt 8 - Z 721 126]

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Q: Solve the system -6 -2 =B]. dx 20 6 dt 2 -[:] -2 with x (0) = x2= 8 Give your solution in real form.…

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Q: 4. (i) Show that 2 is a primitive root mod 11² = 121. Hint: Use the criterion given by Lemma 6.4 and…

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Q: Prove: If α∊R, then the function αf is differentiable at c, and (αf)'(c)=αf'(c)

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