Find .y =log7

A.
B. (sec x csc x - ln 3 -1)
C. (cot x - tan x - ln 3 -1)
D. e7(cos x - sin x - ex3x)


Answer: C

Mathematics

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (x - y)i + (x + y)j; C is the triangle with vertices at (0, 0), (8, 0), and (0, 9)

A. 0 B. 648 C. 72 D. 144

Mathematics

Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.4x2 - 36y2 = 144

A. center: (0, 0)
transverse axis: y = 0
vertices: (-6, 0), (6, 0)
foci: (-2, 0), (2, 0)
asymptotes: y = - x and y = x
B. center: (0, 0)
transverse axis: y = 0
vertices: (0, -6), (0, 6)
foci: (0, -2), (0, 2)
asymptotes: y = - x and y = x
C. center: (0, 0)
transverse axis: y = 0
vertices: (-2, 0), (2, 0)
foci: (-2, 0), (2, 0)
asymptotes: y = - x and y = x
D. center: (0, 0)
transverse axis: y = 0
vertices: (-6, 0), (6, 0)
foci: (-4, 0), (4, 0)
asymptotes: y = - x and y = x

Mathematics

Solve the problem.How long will it take for $5,600 to grow to $15,800 at an interest rate of 9.1% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

A. 11.4 yr B. 1.14 yr C. 1,139.83 yr D. 9.1 yr

Mathematics

Indicate whether the graph of the equation is a circle, an ellipse, a hyperbola, or a parabola. Then graph the conic section.x2 = 4 - (y + 8)2

A. parabola

B. hyperbola

C. ellipse

D. circle

Mathematics