Decide whether or not the function is a probability density function on the indicated interval.f(x) = 2x; [-2, ]

A. Yes
B. No


Answer: A

Mathematics

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Find the first three terms of the Taylor series in x - a.cos x, a = 

A.  - 3 + 5 - . . .

B.  - 2 + 3 - . . .

C. 1 -  - 2 + . . .

D. 1 - 2 + 3 - . . .

Mathematics

Solve.The resisistance R in ohms (?) of a particular circuit element is given by the formula Use the formula to find the temperature T in degrees Celsius (°C) at which the resistance of the circuit element is 6.02 ?.

A. 42°C B. 51°C C. 49°C D. 63°C

Mathematics

Find an equation for the sphere with the given center and radius.Center (-1, 0, 0), radius = 1

A. x2 + y2 + z2 + 2x = 1 B. x2 + y2 + z2 - 2x = 1 C. x2 + y2 + z2 - 2x = 0 D. x2 + y2 + z2 + 2x = 0

Mathematics

Solve the problem.The radiator in a certain make of car needs to contain  of 40% antifreeze. The radiator now contains  of 20% antifreeze. How many liters of this solution must be drained and replaced with 100% antifreeze to get the desired strength?

A. 20.0 L B. 15.0 L C. 24 L D. 30 L

Mathematics