Use the quadratic formula to solve the equation.x2 + 10x + 6 = 0

A. {-10 + }
B. {5 + }
C. {5 ± }
D. {-5 ± }


Answer: D

Mathematics

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Find the arc length parameter along the curve from the point where t = 0 by evaluating r(t) = (etcos t)i + (etsin t)j + 5etk

A. et - 3
B. et - 
C. 3et - 
D. 3et - 3

Mathematics

Provide an appropriate response.Suppose the velocity of a body moving along the s-axis is   = 9.8t - 5.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.

A. No, displacement has nothing to do with the position of the body. B. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement. C. Yes, integration is not possible without knowing the initial position. D. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out.

Mathematics

Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (-y - ey cos x)i + (y - ey sin x)j; C is the right lobe of the lemniscate r2 = cos 2? that lies in the first quadrant.

A. 0
B.
C. 1
D.

Mathematics

Provide an appropriate response.Four gallons of pesticide are used to treat a field that measures 4,225 ft.2 in area. Find the constant of variation and solve to find how many gallons of pesticide are needed in order to treat another field that measures 7,390 ft.2 Round to nearest whole gallon.

Fill in the blank(s) with the appropriate word(s).

Mathematics