Show that whether an m xn-dimensional matrix as is a unary function when m

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

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A: Given,                  for the value of n, x and p i.e.              To find the value of

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A: We disprove by giving a counter example

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A: The 2-D graph is attached belowTo find out slope we apply slope formula

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Q: (a) Number (b) Number (c) Number i i Units Units Units < <

A: i) Change in momentum/second=m=5*10-3  kgnumber of bullets n=278v=0 m/su=977 m/st=13.9 s

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Q: 5) Given T:RR defined by T(x)=x+1 Determine if it is a linear transformation.

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Q: a) Differentiate the function Q(p) = -2√/p³ (e-P-PB). b) Hence or otherwise, determine Q'(1).

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Q: Answer Q-3

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Q: 2. Given the following functions f(t), use the formulas to find the Laplace transform a) f(t)=4t²-5…

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Q: Consider the matrix B= 10 0 a 4 1 4 say for which values of alpha matrix B does not admit inverse

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