Let s and t be relatively prime positive integers, and let n = st – (s+t). (a) Find a solution to sx +ty = n (b) Show that there are no nonnegative solutions to sx + ty = n (where a nonnegative solution is one with x >0 and y > 0)

Q: Let A 1 value of k. [23] A and B = 1 -7 217 k If AB = BA, find the

A:

Q: 1 (g) √ F+x(a+b)+abdx

A: To evaluate the following integral.

Q: Let P(z) = z100 + 8z10 – 3z³ + z² + z + 1. Find the number of roots of P(z) (solutions of the…

A:

Q: if a set of simultaneous equations [A]{x}={b} is solved by an iterative method then these equations…

A: given  If a set of simultaneous equations Ax=b is solved an iterative method then these equations…

Q: wouldn't there be a t in the second term of the general solution?

A:

Q: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

A:

Q: Given Z1 =1+√√3i and Si Z2 = 2 e 6 Find 2 (Z2)² Z1

A:

Q: Determine which of the following equations have integer solutions (x, y) = Z²: 1. 465x +4920y 1 2.…

A: Introduction: The linear Diophantine equation of the form ax+by=c has integer solution if and only…

Q: A particular road is used by N drivers each day. Each driver obtains a benefit v from the journey…

A:

Q: Find the value of c if ∞ (1 + c)−n   n = 2 = 1

A:

Q: Solve for y 512y12x+12 529y2x+2 V4y8x+4 Show all steps! 32y5x+5

A: The explanation of answer as follows

Q: Q9. (a) (i) Calculate (2 + i√5)(√5 - i). (ii) Hence verify that (√5 - i) is a root of the equ

A: (a) The given expression is 2+i55-i Multiply the terms in the given expression…

Q: [10 4 -1] Q1) Find AB if A =-2 -1 and B =0 2 -3 3 20 l10 -5

A: Given Matrix A=1004-2-12-3320 and B=1-10210-5 to multiply the matrix A and B proceed as follows…

Q: (1) Find all s ER so that x² - sx + s = 0 has two real solutions.

A:

Q: [B] Consider the equation x1 + x2 + x3 = 25 where a1, x2, a3 E Z. 2/5 (B.1) How many solutions are…

A: Solution B: Given equation is x1+x2+x3=25 here x1, x2, x3∈Z B.1 Given x1≥2, x2≥0, x3≥5 remaining…

Q: Find Re(z) if z(2 + i) = z+(16 + 20i)

A: Given that, z2+i=z¯+16+20i. The objective is to find Rez.       For any complex number z=a+ib, its…

Q: Compute a (х + 2) dx. O x3 + x² + C O x² (x² + 2x)+C x2 + 2x ) + C 2 - + C 2 + x2 + C 3

A: