Calculate the flow in the field F along the path C.F = (x - y)i - (x2 + y2)j; C is curve from (4, 0) to (-4, 0) on the upper half of the circle x2 + y2 = 16
A. 16?
B. - 8?
C. 8?
D.
Answer: C
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Find all the local maxima, local minima, and saddle points of the function.
A. f(45, 45) = 151,875, local maximum; f(0, 0) = 0, local minimum B. f(45, 45) = 151,875, local maximum C. f(9, 5) = 9211, saddle point; f(5, 9) = 6075, saddle point D. f(0, 0) = 0, local minimum
Find the product.(-7y)(-5y8)
A. -12y8 B. 35y9 C. -35y9 D. 7y - 5y8
Use the table to find the indicated limit.If f(x) = x2 + 8x - 2, find f(x).
A. ; limit = ?
B. ; limit = 18.0
C. ; limit = 17.70
D. ; limit = 5.40
For the following rational function, identify the coordinates of all removable discontinuities and sketch the graph. Identify all intercepts and find the equations of all asymptotes.f(x) =
A. removable discontinuity at
x-intercept: (4, 0), y-intercept: ;
asymptotes: x = 6, y = -1
B. removable discontinuity at
x-intercept: (4, 0), y-intercept: ;
asymptotes: x = 6, y = 1
C. no removable discontinuities;
x-intercept: (0, 0); y-intercept (0, 0);
asymptotes: x = 6, x = -5, y = 0
D. no removable discontinuities;
x-intercept: (0, 0); y-intercept (0, 0);
asymptotes: x = 6, x = -5, y = 0