Exercise 34 Solve the following equations: 1. 5x + 3 = 7 (mod 11). 2. 4x + 5 = 11 (mod 13). 3. 9x – 4 = 2 (mod 10). 4. 2x + 8 = 10 (mod 17). 5. 11x – 4 = 2 (mod 24). 6. 72x – 10 = 64 (mod 73). - 7. 13x + 3 = 12 (mod 15). 8. 11x – 1 = 13 (mod 14).

Q: Find the Inverse Laplace Transform of the following four functions: 1) F(s) = 1 S-4 2) F(s) = S 2 S²…

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Q: olve each of the following systems of nonlinear equations. 1. 22 + y? = 11 7x - y2 = 7

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A: WE HAVE SOLVED THIS PROBLEMS BY THE RULES AND FORMULAS OF INTEGRATION.

Q: V162x5 V2x ,5 Vx + 2

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Q: 16- y? V16 - x2 x dx dy 2.

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A: We can find the derivative of the given functions by using the following formulas.

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Q: Find the limit: a) lim x → 5 6) lim X->-6+ c) lim X->>4 d) lim 3X X-5 5x+1 x+6 3X x³-64 6 X-> X²+2

A: The given limit is: a). limx→5-3xx-5

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.