Find the requested partial derivative.z = 6x3 + 4xy - y; (5, 1)

A. 4
B. 454
C. 3
D. 453


Answer: B

Mathematics

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Write the equation of the circle in standard form. Find the center and radius. Then sketch the graph.x2 + y2 + 6x - 4y - 12 = 0

A. (x - 3)2 + (y - 2)2 = 25
(h, k) = (3, 2), r = 5

B. (x + 3)2 + (y + 2)2 = 25
(h, k) = (-3, -2), r = 5

C. (x - 3)2 + (y + 2)2 = 25
(h, k) = (3, -2), r = 5

D. (x + 3)2 + (y - 2)2 = 25
(h, k) = (-3, 2), r = 5

Mathematics

Define T: R2 ? R2 by T(x) = Ax, where A is the matrix defined below. Find the requested basis B for R2 and the corresponding B-matrix for T.Find a basis B for R2 and the B-matrix D for T with the property that D is a diagonal matrix.A =  

A.
B = , D = 
B.
B = , D = 
C.
B = , D = 
D.
B = , D = 

Mathematics

Use the Factor Theorem to determine whether the linear polynomial is a factor of the second polynomial.x - 6; x3 - 12x2 + 45x - 54

A. Yes B. No

Mathematics

Is the following statement true or false?-14 ? 20

A. True B. False

Mathematics