What is the complete domain D and range R of the following multivariable functions: a. w(x, y) = Vy – 4x² b. w(x, y) = c. w = 2sin xy d. w = e x(у-1) 1 e. w(x, y, z) = /2x² + 4y² +6 z² f. w(x, y, z) = %3D x2+y2+ z?

The demand for ACME Q-bits is given by the function q = f(Y,p), where • q = monthly demand for ACME Q-bits (measured in 1000s of Q-bits) • Y= average monthly income in the Q-bit market (measured in $1000s) •p = price/Q-bit that ACME sets (measured in dollars). When average monthly income is $4500 and ACME's price is $35... • q = 22, aq/əY = 0.77 aq/ap = - 0.64 If average monthly income increases to $4700, by approximately how much can ACME increase their price while keeping demand for the product fixed at q = 22? Hint: Use linear approximation.

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Consider the following R2 →R function: b) Plot the level curves for c = 0, 1, 2 and 3