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$\int \cos^{-1}(x)dx =$ $\circ x \cos^{-1}(x) + \sqrt{1-x^2} + C$ $\circ x \cos^{-1}(x) - \frac{1}{2}\ln \sqrt{1-x^2} + C$ $\circ \cos^{-1}(x) - \frac{1}{\sqrt{1-x^2}} + C$ $\circ x \cos^{-1}(x) + \frac{1}{2}\sqrt{1-x^2} + C$ $\circ$ None of these

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9. An equilibrium is defined as A. a position that once obtained cannot be maintained. B. a position that once obtained tends to be obtained. C. a position that is better than an optimum. D. none of the above.

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44.If $ (a+b)^{\frac{1}{2}}=(a-b)^{-\frac{1}{2}} $, which of the following must be true?( )

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Almost every scientific study examining the effectiveness of the D.A.R.E. program has found: Group of answer choices There is no effect in reducing drug use The program reduces long term drug use The program significantly increases drug use The program significantly reduces drug use

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Drawing on your understanding of legal principles in construction, propose potential solutions to mitigate the impact of rising construction costs on projects like MRT 3. Consider contractual clauses, alternative dispute resolution methods, or legislative reforms.

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Which of the following is an expression for the cost-minimizing combination of inputs?

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Find a formula for the quadratic function depicted in the following graph. y 10 Answer 10 -5 f(x) = 5 5 10 -5 10 x Keyboa

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A boat moves through the water with two forces acting on it. One is a 1,950-N forward push by the water on the propeller, and the other is a 1,400-N resistive force due to the water around the bow. (a) What is the acceleration of the 1,300-kg boat? m/s$^2$ (b) If it starts from rest, how far will the boat move in 20.0 s? m (c) What will its velocity be at the end of that time? m/s

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Tutorial 3 1. Nikki Rauguth is the food and beverage manager at Harrison Residence Hall. Once each month, Nikki features an "Italian night," a themed dinner, for her students. She serves the following four menu items listed. Nikki has maintained sales histories showing the number of individual menu items selected for each of her last three "Italian nights." Calculate the total number of each menu item served over the past three months then use that information to calculate each menu item's popularity index. Menu Item: - Lasagna - Pasta Carbonara - Seafood Shells - Pork Milanese Total Served: Month 1: - Lasagna: 225 - Pasta Carbonara: 72 - Seafood Shells: 55 - Pork Milanese: 80 Month 2: - Lasagna: 130 - Pasta Carbonara: 52 - Seafood Shells: 62 - Pork Milanese: 145 Month 3: - Lasagna: 164 - Pasta Carbonara: 74 - Seafood Shells: 64 - Pork Milanese: 116 3-Month Total: - Lasagna: 519 - Pasta Carbonara: 198 - Seafood Shells: 181 - Pork Milanese: 341 Popularity Index: - Lasagna: 519 - Pasta Carbonara: 198 - Seafood Shells: 181 - Pork Milanese: 341

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7: Consider the following reaction: 2C(s) + 3H$_2$(g) ? C$_2$H$_6$(g); ?H$^\circ$ = -84.68 kJ; ?S$^\circ$ = -173.8 J/K at 298 K What is the equilibrium constant at 400.0 K for this reaction? (Ans: 9.5 x 10$^1$)

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brandy a.