Find the expected value, the variance, and the standard deviation, when they exist, for the probability density function. Give an exact answer for the expected value and round the variance and standard deviation to four decimal places when appropriate.f(x) = 

A. ; 9.1563; does not exist
B. ; 83.8385; 9.1563
C. ; does not exist; does not exist
D. ; 83.8385; does not exist


Answer: C

Mathematics

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Simplify.(4x2 - xy - y2) + (x2 + 9xy + 11y2)

A. 5x2 + 8xy + 10y2 B. 3x2 - 10xy - 12y2 C. 5x2 + 10xy + 12y2 D. 4x2 + 9xy + 11y2

Mathematics

In the circuit below, find fCO and VO if Vin = 42 V, R = 22 K, and C = 0.00015 æF.


a. VO = 29.7 V, fCO = 48.2 KHz
b. VO = 21.0 V, fCO = 48.2 KHz
c. VO = 21.0 V, fCO = 31.7 KHz
d. VO = 29.7 V, fCO = 31.7 KHz
e. VO = 21.0 V, fCO = 34.1 KHz

Mathematics

Find the principal square root of the number. Approximate the answer to the nearest hundredth whenever appropriate.y2, y > 0

A. y4 B. -y, y C. y D. -y

Mathematics

Sketch the graph of the function on using the curve-sketching guidelines.

What will be an ideal response?

Mathematics