Q.1) Show that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find the corresponding analytic function. Also find the conjugate function.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: square centered at the origin has its vertices on the x and y axes. The graph of the function f(x) =…

A: we know that the vertices have coordinates (0, ±k) and (±k, 0), where k is the side length of the…

Q: what is a cubic plolynomial function in standard form with zeros -4, -5 and 4 a.…

A: given zeros -4,-5 and 4

Q: Which of the following functions is odd? y=x^3-2 y=2x-1 y=x^3-x y=x^4-x^2 y=x^4-x^3

A:

Q: What are the expressions simplified and are the functionsinverses?

A: We will show that, both f°h and h°f are identity maps on their respective domain. Then, we can claim…

Q: House price y is estimated as a function of the square footage of a house x and a dummy variable d…

A:

Q: Determine which of the following functions are entire. Justify your answer:…

A: The objective of the question is to determine if the given function is entire. An entire function,…

Q: X^4+y^2=3 find the slope of the function above at (1,-sqrt2)

A: Explanation of the solution is given below....

Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3)…

Q: x^(3)+6x^(2)-9x-4,[-3,7,-30,30

A:

Q: Find the inverse function of f^-1 of the function. F(x) = 5sinx-7

A: