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  1. For each of the following names, choose the correct formula.

i. Sulfite ion

ii. Phosphoric acid

iii. Hydrosulfuric acid

i, ii, iii

A.SO32–, H3PO4, HS

B.SO42–, H2PO4, HS

C.SO42–, H2PO4, H2S

D.SO32–, H2PO4, H2S

E.SO32–, H3PO4, H2S

2. Which of the following name-formula pairs is/are incorrect?

i. Bromous acid, HBrO2

ii. Nitrate ion, NO3–

iii. Periodate ion, IO3–

iv. Hydrofluoric acid, HFl

v. Telluric acid, H2TeO3 (tellurium, Z = 52)

A.i and ii

B.iii and iv

C.iv and v

D.i, ii, and iii

E.iii, iv, and v

3. Which of the following name-formula pairs is/are correct?

i. HSeO3–, hydrogen selenite ion (Z = 34)

ii. HSO4–, hydrogen sulfite ion

iii. H2PO4–, bihydrogen phosphate ion

iv. HCO3–, hydrogen carbonate ion

A.i only

B.iii only

C.iv only

D.i and ii

E.i and iv

4.Which one of the following compounds is ionic?

SnCl2

SCl2

SiCl4

ClF3

none of the above

 
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For each of the following kinds of laws, pick at least one of the four grounds for justification—legal moralism, the harm principle, legal paternalism, and the offense principle—and construct an argument designed to justify the law. You may not agree either with the law or with the argument; the exercise is to see if you can connect the law to the (allegedly) justifying principle. For many laws, more than one kind of justification is possible, so there can be more than one good answer for many of these.

Laws against shoplifting

 
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need help for tgis example we have in class today.thank you

1. For each of the following functions, find the derivative. U“u— “at“ a. 1’0!) = (1 – 3z)‘“ + it sin(4-z)b. 90:) = tan6 2x c. h(z) = x! 1 + 3222 d. y = 25in (21—5) e. y=ln(x3-—3×2+5) 2. Consider the hyperbole with equation x2 — 322 = 1.a. Graph the hyperbole. There are two points on this curve where x = J37. Find their(1:, y) coordinates. (5 pts)b. Pick the point from part a) with positive y—coordinate, and find an equation of theline tangent to the hyperbola at this point. (10 pts)3. Use implicit differentiation to find the derivative of y with respect to x ifx2 + :vczy2 + y3 = . (10 pts] 4. Use logarithmic differentiation to determine f ‘(x) if f(x) = 1%(10 pts}

 
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3.  

For each of the following, approximate all angles θ in the interval [0°, 360°) that satisfy the equation. Give all angles to the nearest 0.1°. If there is no solution within a particular quadrant, enter NONE.

(a) sin θ = -0.2132 ° (quadrant I) ° (quadrant II)  ° (quadrant III) ° (quadrant IV)(b) cos θ = 0.8874 ° (quadrant I)  ° (quadrant II) ° (quadrant III)  ° (quadrant IV)(c) tan θ = 1.508 ° (quadrant I)  ° (quadrant II)  ° (quadrant III)  ° (quadrant IV)(d) cot θ = -0.9107 ° (quadrant I)  ° (quadrant II)  ° (quadrant III)  ° (quadrant IV)(e) sec θ = -1.192 ° (quadrant I)  ° (quadrant II) ° (quadrant III)  ° (quadrant IV)(f) csc θ = 2.74 ° (quadrant I) ° (quadrant II)  ° (quadrant III) ° (quadrant IV)

4.  

For each of the following, find all solutions. The variable n denotes a generic integer. (For each, select all that apply.)

1.  SEE IMAGE 4-A

(a)  

None of these

7π/4 + 2πn

5π/4 + 2πn

3π/4 + 2πn

π/4 + 2πn

2.  SEE IMAGE 4-B(b) 

π/3 + 2πn

π/6 + 2πn

π/6 + πn

None of these

π/3 + πn

(c)

3. sec(x) = 2

π/6 + 2πn

π/3 + 2πn

None of these

5π/3 + 2πn

π/6 + πn

(d) SEE IMAGE 4-D

5π/3 + 2πn

None of these

π/3 + 2πn

π/6 + πn

π/6 + 2πn

(e) SEE IMAGE 4-E

 3π/2 + 2πn 

ALL REAL NUMBERS – {π/2 + πn}

None of these

π/2 + πn

(f) 

SEE IMAGE 4-F

π/12 + πn

11π/12 + πn

π/6 + 2πn

None of these

11π/6 + 2πn

(g) SEE IMAGE 4-G

  π/6 + πn

π/6 + 2πn

None of these

π/2 + 3πn

(h) SEE IMAGE 4-H

π/6 + 2πn

-π/12 + 2πn

5π/6 + 2πn

7π/12 + 2πn

None of these

(i) SEE IMAGE 4-I

7π/12 + πn

π/4 + πn

5π/6 + 2πn

7π/6 + 2πn

None of these

(j) 2 cos(x) + 1 = 0

None of these

π/6 + 2πn

π/3 + 2πn

2π/3 + 2πn

4π/3 + 2πn

(k) (cos(x) – 1)(sin(x) + 1) = 0

None of these

2πn

π/4 + 2πn

3π/2 + 2πn

π/2 + 2πn

(l) sec2(x) – 4 = 0

π/3 + 2πn

5π/3 + 2πn

4π/3 + 2πn

2π/3 + 2πn

None of these

(m)     cot2(x) – 3 = 0

None of these

π/6 + πn

5π/6 + πn

π/3 + πn

π/3 + 2πn

(n)    

 
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For each of the following examples, draw a representative isoquant. What can you say about the marginal rate of technical substitution in each case?a. A firm can hire only full-time employees to produce its output, or it can hire some combination of full-time and part-time employees. For each full-time worker let go, the firm must hire an increasing number of temporary employees to maintain the same level of output.b. A firm finds that it can always trade two units of labor for one unit of capital and still keep output constant.c. A firm requires exactly two full-time workers to operate each piece of machinery in the factory.

 
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For each of the following events, explain the short-run and long-run effects on output and the price level, assuming policymakers take no action. 1. The stock market declines sharply, reducing consumers’ wealth. 2. The federal government increases spending on national defense. 3. A technological improvement raises productivity. 4. A recession overseas causes foreigners to buy fewer U.S. goods.

 
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For each of the following English statements, (i) translate it into predicate logic, (ii) write the negation of that statement in predicate logic with the negation symbols pushed as far in as possible so that any negation symbols are directly in front of a predicate, and then (iii) translate the result of (ii) back to (natural) English.

For the logic, let the domain of discourse be cats and food. Use only the predicates Loves(x, y) and Likes(x, y) which say that cat x loves or likes (respectively) food y; the predicates Cat(x) and Food(x), which say whether x is a cat or food (respectively); and the predicates x = y and x 6= y, which say whether x and y are the same object. (Use the constant “Garfield” to refer to Garfield in your logical statements.)

(a) If a cat loves fish and lasagna, then it’s Garfield.

(b) There is some food that Garfield likes but no other cat likes.

(c) Every cat likes some food that Garfield does not like.

 
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For each of the following draw a separate diagram to demonstrate the answer. (Hint: Remember the difference in a change in demand [supply] and a change in quantity demanded [supplied]. Don’t shift both curves unless appropriate). Describe what happens to equilibrium price and sales. Explain why or why not this makes sense in the real world.a. Show the effect on the U.S. new construction residential housing market in the event of a severe economic recession.b. Show the effect on the U.S. air travel market if American Airlines unexpectedly folds (ceases operations) overnight.c. Show the effect on the U.S. domestic car market if the price of foreign cars increases due to an exchange rate shock.d. Show the effect on the market for large SUVs if the price of gasoline in the U.S. comes to rest at greater than $4 per gallon.e. Show the effect of setting the price of Super Bowl tickets at a price lower than equilibrium price.

For each of the following draw a separate diagram to demonstrate the answer. (Hint:Remember the difference in a change in demand [supply] and a change in quantitydemanded [supplied]. Don’t shift…

 
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For each of the following polynomials, apply either the Muller’s method or the Bairstow’s method to find all real or complex roots. Analyze and contrast performance between the two methods. Plot the functions to choose root guesses appropriately. You can apply any simplifications you deem appropriate prior to applying the numerical methods.

f(x) = x3 – x2 + 2x – 2

f(x) = 2×4 + 6×2 + 8

f(x) = -2 + 6.2x – 4×2 + 0.7×3

f(x) = x4 – 2×3 + 6×2 – 2x + 5

 
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A4-9. For each of the following policies, explain whether the policy is correcting a market failure or pursuing some other societal goal. Be sure to identify the goal. Using diagrams where possible, describe the efficiency impact of the policy. To simplify your analysis, assume that the marginal private cost (MPC = willingness-to-accept) is constant and ignore the efficiency costs of taxation (where applicable).

A) Since flu vaccinations not only benefit the vaccinated (decreasing their chance of getting the flu),but also benefit everyone else in the same way, the Ontario government funds flu shots from taxation and distributes them for free to the population. [6]

B)Many governments have banned smoking in restaurants because they are worried about the effects of secondhand smoke on the health of non-smoking diners. [6]

C) The Canadian government has made many medical/health-related transactions illegal(ex.tradein body organs, payments for pregnancy surrogates, etc.). [6]

D) In Canada, healthcare(even for non-communicable diseases)is provided by the government and funded through progressive taxation. [6]

 
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