The ghost of Banquo in Macbeth was represented for the first time in 1954, for a production in Calcutta, by using a clear glass placed at 45 degrees angle on the stage. Discuss how they used the reflection and transparency of glass to achieve this in terms of rules of reflection.

The ghost of Banquo in Macbeth was represented for the first time in 1954, for a production in Calcutta, by using a clear glass placed at 45 degrees angle on the stage. Discuss how they used the reflection and transparency of glass to achieve this in terms of rules of reflection.

Basically put, they used a great plate glass pane, set … Read More...
1. How does the milk market respond to the following events? Show Change in Supply or Demand. A) Mad cow disease hits the US herds B) Genetically Enhanced cows are 80% of all the milk cows are destroyed created and produce 30% more milk \$\$ Supply \$\$ Supply Demand Demand 0 Quantity 0 Quantity EXPLAIN: EXPLAIN: C) Moms learn that if kids drink a gallon of D) A drought wipes out all the grain milk a day, they are guaranteed to get crops and there is no breakfast prefect grades cereal produced this year. \$\$ Supply \$\$ Supply Demand Demand 0 Quantity 0 Quantity EXPLAIN: EXPLAIN: 2. The market for movie tickets has the following demand and supply schedule. (4 points) Price Demand Supply \$\$ \$10 35 165 \$8 65 105 \$7 87 87 \$6 99 65 \$5 130 55 \$3 170 35 o Q A) GRAPH Demand & Supply B) What is the equilbrium price of Movie Tickets? C) If a Price Floor of \$8 is imposed on market, how many Movie Tickets are sold? D) If a Price Ceiling of \$5 is imposed on the market, how many Movie Tickets are sold? 3. The economy of Winterland, produces snowflakes and icicles. Icicles Snowflakes Icicles 352 0 280 250 215 400 160 550 105 700 51 850 0 950 0 Snowflakes A) Graph Winterland’s Production Possibility Frontier. LABEL THE POINTS B) What is the Opportunity Cost of making 215 Icicles? C) What is the Opportunity Cost of making 700 Snowflakes? D) Can Harmony make 160 Icicles and 500 Snowflakes at the same time? Why or Why Not? E) Does it make sense for Harmony to choose to produce 352 Icicles and 0 Snowflakes

1. How does the milk market respond to the following events? Show Change in Supply or Demand. A) Mad cow disease hits the US herds B) Genetically Enhanced cows are 80% of all the milk cows are destroyed created and produce 30% more milk \$\$ Supply \$\$ Supply Demand Demand 0 Quantity 0 Quantity EXPLAIN: EXPLAIN: C) Moms learn that if kids drink a gallon of D) A drought wipes out all the grain milk a day, they are guaranteed to get crops and there is no breakfast prefect grades cereal produced this year. \$\$ Supply \$\$ Supply Demand Demand 0 Quantity 0 Quantity EXPLAIN: EXPLAIN: 2. The market for movie tickets has the following demand and supply schedule. (4 points) Price Demand Supply \$\$ \$10 35 165 \$8 65 105 \$7 87 87 \$6 99 65 \$5 130 55 \$3 170 35 o Q A) GRAPH Demand & Supply B) What is the equilbrium price of Movie Tickets? C) If a Price Floor of \$8 is imposed on market, how many Movie Tickets are sold? D) If a Price Ceiling of \$5 is imposed on the market, how many Movie Tickets are sold? 3. The economy of Winterland, produces snowflakes and icicles. Icicles Snowflakes Icicles 352 0 280 250 215 400 160 550 105 700 51 850 0 950 0 Snowflakes A) Graph Winterland’s Production Possibility Frontier. LABEL THE POINTS B) What is the Opportunity Cost of making 215 Icicles? C) What is the Opportunity Cost of making 700 Snowflakes? D) Can Harmony make 160 Icicles and 500 Snowflakes at the same time? Why or Why Not? E) Does it make sense for Harmony to choose to produce 352 Icicles and 0 Snowflakes

My Success Assignment ‘where you want to be in ten years’ Objective Make a plan and try to see all the details. Does some research, ask questions, and consider what it’s going to take to get where you want to be.

My Success Assignment ‘where you want to be in ten years’ Objective Make a plan and try to see all the details. Does some research, ask questions, and consider what it’s going to take to get where you want to be.

My Road map for career planning is based on … Read More...
WEEKLY ASSIGNMENT #2 YOU 1. Verify for the Cobb-Douglas production function P(L;K) = 1:01L:75K:25 that the production will be doubled if both the amount of labor and the amount of capital are doubled. How much must you increase capital K to double production? How much must you increase labor by to double production? 1 2. Let F(x; y) = 1+ p 4 ? y2. Evaluate F(3; 1). Find and sketch the domain of F. Find the range of F. 2 3. Draw a contour map of the function showing several level curves. (a) g(x; y) = x2 ? y2 (b) s(x; y) = y=(x2 + y2) 3 4. Find the limit if it exists or show that the limit does not exist. You do not have to use the epsilon delta method so it will either be “obviously” continuous or you will have to show that it is not by finding two paths which give different results. (a) lim (x;y)!(2;?1) x2y + xy2 x2 ? y2 (b) lim (x;y)!(0;0) x4 ? 4y2 x2 + 2y2 (c) lim (x;y)!(0;0) xy p x2 + y2 4 5. The temperature T at a location in the Norther Hemisphere depends on the longitude x, the latitude y, and the time t. What are the meaning of the partial derivatives @T=@t; @T=@x; @T=@y? Moscow lies at 46:73N; 117W. Suppose that at 9 am on January 1st the wind is blowing hot air to the northeast so the air to the west and south is warm, and the air to the north and east is cooler. Would you expect fx(117; 4673; 9); fy(117; 4673; 9); ft(117; 4673; 9) to be positive negative or positive? 5 6. Find the first partial derivatives of the following functions. (a) f(x; y) = x4 + 5xy3 (b) g(x; y) = t2e?t (c) h(s; t) = ln(s + t2) (d) i(x; y) = x y (e) R(p; q) = arctan pq2 6 7. Find @z=@x and @z=@y for the following, assuming that f and g are differentiable single variable functions Hint: Your answer should use f0 and/or g0. z = f(x)g(y) ; z = f(x=y) 7

WEEKLY ASSIGNMENT #2 YOU 1. Verify for the Cobb-Douglas production function P(L;K) = 1:01L:75K:25 that the production will be doubled if both the amount of labor and the amount of capital are doubled. How much must you increase capital K to double production? How much must you increase labor by to double production? 1 2. Let F(x; y) = 1+ p 4 ? y2. Evaluate F(3; 1). Find and sketch the domain of F. Find the range of F. 2 3. Draw a contour map of the function showing several level curves. (a) g(x; y) = x2 ? y2 (b) s(x; y) = y=(x2 + y2) 3 4. Find the limit if it exists or show that the limit does not exist. You do not have to use the epsilon delta method so it will either be “obviously” continuous or you will have to show that it is not by finding two paths which give different results. (a) lim (x;y)!(2;?1) x2y + xy2 x2 ? y2 (b) lim (x;y)!(0;0) x4 ? 4y2 x2 + 2y2 (c) lim (x;y)!(0;0) xy p x2 + y2 4 5. The temperature T at a location in the Norther Hemisphere depends on the longitude x, the latitude y, and the time t. What are the meaning of the partial derivatives @T=@t; @T=@x; @T=@y? Moscow lies at 46:73N; 117W. Suppose that at 9 am on January 1st the wind is blowing hot air to the northeast so the air to the west and south is warm, and the air to the north and east is cooler. Would you expect fx(117; 4673; 9); fy(117; 4673; 9); ft(117; 4673; 9) to be positive negative or positive? 5 6. Find the first partial derivatives of the following functions. (a) f(x; y) = x4 + 5xy3 (b) g(x; y) = t2e?t (c) h(s; t) = ln(s + t2) (d) i(x; y) = x y (e) R(p; q) = arctan pq2 6 7. Find @z=@x and @z=@y for the following, assuming that f and g are differentiable single variable functions Hint: Your answer should use f0 and/or g0. z = f(x)g(y) ; z = f(x=y) 7

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