Find the Jacobian  or  (as appropriate) using the given equations.  

A. 720v
B. 1200u
C. 1200v
D. 720u


Answer: B

Mathematics

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Solve the given trigonometric equation by use of a graphing calculator. Use values of x for 0 ? x < 2?.sin 3x = sin x

A. 0, 0.79, 2.36, 3.14, 3.93, 5.50 B. 1.57, 4.71 C. 0, 1.57, 3.14, 4.71 D. 0.79, 1.57, 2.36, 3.93, 4.71, 5.50

Mathematics

Complete the following:  (i) Find the x- and y-intercepts.  (ii) Determine the multiplicity of each zero of f.  (iii) Graph y = f(x).f(x) = 2(x + 4)(x + 1)2

A. (i) x-ints are -4 and -1; the y-int is 8
(ii) -4 has multiplicity 1,
 -1 has multiplicity 2;
(iii) 
 
B. (i) x-ints are -4 and -1; the y-int is 32
(ii) -4 has multiplicity 2,
 -1 has multiplicity 1;
(iii) 
 
C. (i) x-ints are 4 and 1; the y-int is -8
(ii) 4 has multiplicity 1,
 1 has multiplicity 2;
(iii) 
 
D. (i) x-ints are -4 and 1; the y-int is 8
(ii) -4 has multiplicity 1,
 1 has multiplicity 2;
(iii) 
 

Mathematics

Describe how to obtain the graph of the given monomial function from the graph of g(x) = xn with the same power n.f(x) = -8x5

A. Vertically shrink by a factor of , and then reflect across x-axis
B. Vertically stretch by a factor of 8
C. Horizontally stretch by a factor of 8, and then reflect across x-axis
D. Vertically stretch by a factor of 8, and then reflect across x-axis

Mathematics

What edges should be added to the graph to make it Eulerian?


a.  AE, BF
b.  AC, CE, BD, DF, BE
c.  AC, DF
d.  AE, BF, AF

Mathematics