Provide an appropriate response.Let f(x) = . The only value(s) of x for which f is discontinuous is (are)

A. -3 and 3.
B. -1, 1, -3, and 3.
C. -1 and 1.
D. -1.
E. 1, -3 and 3.


Answer: D

Mathematics

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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = 4xx2

A. x(2 ln 4x +1) B. 4xx2 + 1(2 ln 4x + 1) C. 4xx2 + 1(2 ln 4x ) D. xx2 + 1 ln 4x

Mathematics

Solve the problem.The time for a tennis ball to reach its maximum height is given by t = . If the speed of a tennis ball v is 32 m/s and the acceleration due to gravity is 9.8 m/s2, determine the time of flight for the ball for a 75.0° angle of elevation. Round results to an appropriate number of significant digits.

A. 0.97 B. 3.2 s C. 4.1 s D. 31 s

Mathematics

R1 = 3 Kê and R2 = 6 Kê. What is the value of GT?


a. 0.001 S
b. 0.0003 S
c. 0.0005 S
d. 0.000255 S
e. 0.00011 S

Mathematics

Find an equation of an ellipse satisfying the given conditions.Vertices: (-4, -2) and (-4,8); endpoints of minor axis: (-7, 3) and (-1, 3)

A.  +  = 1
B.  +  = 1
C.  +  = 0
D.  +  = 1

Mathematics