Numerade

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Which action(s) will increase the equilibrium concentration of an inert gas (such as N2) in water? 1. decreasing the temperature of the water 2. increasing the volume of water 3. decreasing the pressure of the gas above the liquid 3 only 2 only 1, 2, and 3 1 only 1 and 2

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A 100-foot cable is cut into two pieces. The first piece is 18 feet longer than the second. How long is each piece of cable? The first piece of rope is q, long and the second piece is q, long. Use proper units of measure.

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chlorous acid hydrocyanic acid lactic acid nitrous acid $HClO_2$ $HCN$ $HC_3H_5O_3$ $HNO_2$ $1.2 \times 10^{-2}$ $4.9 \times 10^{-10}$ $1.4 \times 10^{-4}$ $4.6 \times 10^{-4}$ Order these acids from weakest to strongest. (weakest) < < < (strongest) Order the conjugate bases for these acids from weakest to strongest. (weakest) < < < (strongest) Order 0.150 M solutions of each acid above from lowest to highest pH. (lowest) < < < (highest) Order 0.150 M solutions of each acid above from lowest to highest percent dissociation. (lowest) < < < (highest)

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z F B 3 ft A 1 ft 45° 2 ft y x

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a tax on gasoline is an excise tax. consider a 1.50 excise tax on producers for each gallon of gasoline sold.

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The government sets a price floor for corn which is above the equilibrium price of corn. As a result a shortage of corn will be created. a deadweight loss will be created. the corn market will be efficient. none of the above answers is correct.

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Consider the function $f(x) = x^5 + 10$. If $f^{-1}(x)$ is the inverse function of $f(x)$, find $f^{-1}(42)$.\nProvide your answer below:\n$f^{-1}(42) = $

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Write the standard mstrix for the transformation T : IR^2-> IR^2 that rotates and image pi /2 radians counter clock-wise and then reflects it over the vertical x2 axis

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Written Exercises 1 (Section 5.3) (a) State the Fundamental Theorem of Calculus part 2. (b) Let $f(x)$ and $g(x)$ be continuous on $[a, b]$. Apply the Fundamental Theorem of Calculus part 2 to show that $\int_a^b (f(x) + g(x))dx = \int_a^b f(x)dx + \int_a^b g(x)dx$. Hint: let $F(x)$ be an antiderivative of $f(x)$ and $G(x)$ be an antiderivative of $g(x)$. 2 (Section 5.4) Show that $\int \cos(x)^2 dx = \frac{1}{2}x + \frac{1}{4}\sin 2x + C$ by differentiating both sides and using the trig identities $\sin 2A = 2 \sin A \cos A$ and $\cos 2A = 2 \cos(A)^2 - 1.$

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Let $f(x) = Ax - \frac{B}{x^3}$, where $A$ and $B$ are real numbers. Which of the following is a critical value of $f(x)$? Hint: You may assume that $A$ and $B$ are values such that the correct answer is defined.

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