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Characterize utility maximization. Part 2 When consumers maximize​ utility, Part 3 A. they consume each good up to the point where the marginal utility per dollar spent is the same for each good. B. the marginal rate of substitution equals the price of the good on the horizontal axis divided by the price of the good on the vertical axis at the point of optimization. C. the slope of the indifference curve equals the slope of the budget constraint at the point of optimization. D. both a and b. E. all of the above.

Determine whether the following is a statement. If it is, then also classify the statement as true or false. 12 = 3y

(a) CH-OH or CH,0—H The more polar bond is: • СН3 -ОН The direction of its polarity from left to right is: + to 8

Q-3) Consider a rank-1 perturbation of the unit matrix

, that is a matrix

of the form

with

non zero colum vectors a) Show that if A is nonsingular, its inverse has the form

; find

. b) For which

and

is the matrix

is singular?

Many argue that negative externalities like pollution are just the price we pay for progress and economic growth. After all, cleaning up every externality would slow innovation and raise costs for businesses and consumers. Do you think it's worth addressing these externalities, or should we prioritize economic growth even if it causes harm to third parties? Is the government overreaching when it steps in to regulate these outcomes?

A borrower takes out a 16-year mortgage loan for $404247 with an interest rate of 9%. What would the monthly payment be?

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

An off-roader explores the open desert in her Hummer. First she drives 25 ∘∘ west of north with a speed of 7.0 km/hkm/h for 15 minutes, then due east with a speed of 13 km/hkm/h for 7.5 minutes. She completes the final leg of her trip in 22 minutes

4. Electric field lines are 'parallel/perpendicular) to equipotential lines.