Construct the addition and multiplication table for Zs. Use these tables to solve the following equations for x in Zs: (i) x+[44] = [2] (ii) x x [22] = [1] You must state the reason clearly for your derivation if it is not directly reading from the tables.

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Q: Show that the equation x^3 + 6x^2 − 4 = 0 has exactly one solution p^∗ in the interval [0, 1].

A: We used Rolles theorem.

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A: Given,       4X1+2X2-3X3-16=0             4X2+6X3-8=0   X1+4X2+2X3-12=0

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A: Below is the solution;-

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A: Substrate g(x) from f(x) algebraically. Only operates on similar terms .

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Q: 6. Find the value of JK. X+2 X+4 X+1

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Q: Solve the given equation for x. In (x+2)- In (x-6)= 1 (Type an exact answer.)

A: From the given problem:   lnx+2-ln(x-6)=1   So,    lnx+2-lnx-6+lnx-6=1+lnx-6lnx+2=1+lnx-6...(1)   As…