(a) Define f : R × R→R×R by f(x,y) = (2x – y, x – 2y). Prove that f is one-to-one. Describe f-1. What is f-1(6, 3)? Show that (fof-1)(x, y) = (f-1 o f)(x, y). {a1, a2, ... , an} where n is a positive integer. Assume that a function (b) Let A = f: A → A is onto. Prove that ƒ is a bijection.

Q: Let f(z)= z* –4z° +11z? -14z+10. Given that 1+i is a zero of f, find the other zeros of f.

A:

Q: find az ond dz.

A:

Q: please look at picture

A:

Q: EQUATIONS 5y" – (y')* = y° sin æ %3D yy" + 2x = = tan x * + (#) - = 4e' dw ds ds 8 M 8²M dy? = cos x…

A: We have to find

Q: Match each equation with its description. y = z2 y = -3 y = -||| x² + y? = 9 y = 2"

A:

Q: dx -5 V4 x

A:

Q: Please show steps and mark answers

A:

Q: CD A =

A: We have to manipulate the given function.

Q: Please hand write it out

A: Given figure:- y=2sin(x) √(1+cos(x))

Q: a Uxx %3D

A: In this question as the boundary conditions are constant so write the solution as steady state…

Q: Can you write it please in clear handw

A: Let's solve.

Q: -2 and their images under the given transformation T. Describe geometrically what T does to each 4…

A: We need to find  the functional value of at u and v

Q: can you do the resr

A: Let's solve 6th question.  Please repost for other parts.

Q: thank u pls hurry

A:

Q: Let fE C(R) such that f is an infinitesimal of order 3 with respect to x-3, as x→ 3. It's true that…

A: Given that f∈ C4R. Then any function f(x) can be expand by using Taylor series as f(x) = f(3) + f'3…

Q: dx 2. J 2VX2-36

A:

Q: Find if y = dy Inx dx x2

A: Given: y=lnxx2   Find: dydx=

Q: State 2 pieces of information that you have learned about dilation in math.

A: Explanation of the answer is as follows

Q: please interpret

A: formula:      CI=x bar ± tα/2×s/√n

Q: 322

A: Here we have to use integration by parts to solve the problem.