Calculate the Taylor polynomial of second order that approximates f(x, y) near a.f(x, y) = e4y sin x, a = (0, 0)
A. x + 4xy
B. 1 + x + 4xy + e4y
C. 1 + x + 4xy
D. e4y(x - 4xy)
Answer: A
Mathematics
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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.y' = -x(1 - y), y(2) = 2, h = 0.2
A. y1 = 4.0000, y2 = 30.1600, y3 = 39.8368 B. y1 = 2.4000, y2 = 3.0160, y3 = 3.9837 C. y1 = 0.4000, y2 = 1.5080, y3 = 1.9918 D. y1 = 1.6000, y2 = 6.0320, y3 = 7.9674
Mathematics
Find projv u.v = k, u = 9i + 2j + 6k
A. 6k
B. 
k
C. 
i + 
j + 
k
D. 
i + 
j + 
k
Mathematics
Sketch the graph of the function. Give the coordinates of the vertex.f(x) = 3(x + 3)2 + 1
A. vertex (-1, 3)
B. vertex (3, 1)
C. vertex (-3, 1)
D. vertex (1, -3)
Mathematics
Multiply and, if possible, simplify.
A. 2
B. 22
C. 
D. 11
Mathematics