What was the impact of the Greek Civil War in U.S. foreign affairs policy?
In basic terms, what did the North Atlantic Treaty Organizat…
In basic terms, what did the North Atlantic Treaty Organization declare?
In June of 1950, North Korea attacked South Korea. How did t…
In June of 1950, North Korea attacked South Korea. How did the international community respond to the invasion?
Which of the following best describes how power and wealth w…
Which of the following best describes how power and wealth were redistributed after the Second World War?
When confronted with strikes in the coal and railroad indust…
When confronted with strikes in the coal and railroad industries in 1946, President Truman’s response was to
One major reason that the Second World War inspired postwar…
One major reason that the Second World War inspired postwar changes in U.S. race relations was the
ap14_frq_english_language.pdf
ap14_frq_english_language.pdf
Your electricity bills may mention how many kilowatt-hour yo…
Your electricity bills may mention how many kilowatt-hour you have used in a certain time period. This unit is often denoted kWh. It is the product of 1 kilowatt times 1 hour where 1 kilo watt is 1000 W. The kilowatt-hour (kWh) is a unit of
An object initially moves with a velocity of
An object initially moves with a velocity of
Problem 1. (10 points) Evaluate the double integral ∫12∫01x…
Problem 1. (10 points) Evaluate the double integral ∫12∫01x2y dxdy{“version”:”1.1″,”math”:”∫12∫01x2y dxdy”}. Problem 2. (10 points) Evaluate the double integral ∫02∫01(x+2ey-3) dxdy{“version”:”1.1″,”math”:”∫02∫01(x+2ey-3) dxdy”}. Problem 3. (10 points) Evaluate the double integral ∫01∫2x3x(x+y2) dydx{“version”:”1.1″,”math”:”∫01∫2x3x(x+y2) dydx”}. Problem 4. (10 points) Evaluate the double integral ∬Dyx3+1 dA{“version”:”1.1″,”math”:”∬Dyx3+1 dA”} over the region D={(x,y) | 0≤y≤x≤3}{“version”:”1.1″,”math”:”D={(x,y) | 0≤y≤x≤3}”}. You don’t need to simplify your final answer. Problem 5. (15 points) Find the volume of the region under the surface z=xy2{“version”:”1.1″,”math”:”z=xy2″} and above the area bounded by x=y2{“version”:”1.1″,”math”:”x=y2″} and x-3y=4{“version”:”1.1″,”math”:”x-3y=4″}. You don’t need to simplify your final answer. Problem 6. (15 points) Use polar coordinates to evaluate the double integral ∬D(x+y) dA{“version”:”1.1″,”math”:”∬D(x+y) dA”} where D={(x,y) | 1≤x2+y2≤4, x≥0}{“version”:”1.1″,”math”:”D={(x,y) | 1≤x2+y2≤4, x≥0}”}. Problem 7. (15 points) Evaluate the triple integral ∫∫∫B(2x+3y2+4z3) dV{“version”:”1.1″,”math”:”∫∫∫B(2x+3y2+4z3) dV”} where B={(x,y,z) | 0≤x≤1, 0≤y≤2, 0≤z≤3}{“version”:”1.1″,”math”:”B={(x,y,z) | 0≤x≤1, 0≤y≤2, 0≤z≤3}”}. Problem 8. (15 points) Evaluate the triple integral ∫∫∫Eez dV{“version”:”1.1″,”math”:”∫∫∫Eez dV”} where E{“version”:”1.1″,”math”:”E”} is enclosed by the paraboloid z=3+x2+y2{“version”:”1.1″,”math”:”z=3+x2+y2″}, the cylinder x2+y2=1{“version”:”1.1″,”math”:”x2+y2=1″}, and the xy{“version”:”1.1″,”math”:”xy”}-plane. Once you are done, please take pictures of your work, convert them into a pdf file; then scroll down to the bottom of this page to upload your file by clicking on “Add a File”. Finally, please click “Submit Quiz.” If you have trouble opening your file on your computer during the exam, you can also email your file to your instructor within 10 minutes after you submit your exam. Your instructor’s email address is collier.gaiser@ccaurora.edu