Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.4x2 + 5xy + 4y2 - 8x + 8y = 0
A. x = 
(x' - y') and y = 
(x' + y')
B. x = 
x' - 
y' and y = 
x' + 
y'
C. x = -y' and y = x'
D. x = 
x' - 
y' and y = 
x' + 
y'
Answer: A
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Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral.The curves 
and 
A. 
B. 
C. 
D. 
Use a calculator or computer program to approximate the value of y(T) using Euler's method with the given time step on the interval [0, T]. Then, using the exact solution given, find the error in the approximation to y(T) (only at the right endpoint of the time interval). Round answers to five decimal places, do not use intermediate rounding.y'(t) = -4y, y(0) = 1; ?t = 0.2, T = 1; y(t) = e-4t
A. y(1) ? 0.00032; 0.20000 B. y(1) ? 0.00032; 0.01832 C. y(1) ? 0.00160; 0.01672 D. y(1) ? 0.00032; 0.01800
Match the equation with its graph.y = 4(x + 4) + 1
A. 
B. 
C. 
D. 
Solve the equation by making an appropriate substitution.10x-2 + 11x-1 + 1 = 0
A. {1, 10}
B. 
C. 
D. {-1, -10}