Use the linear approximation (1 + x)k ? 1 + kx, as specified.Find an approximation for the function f(x) =  for values of x near zero.

A. f(x) ? 1 + 2x
B. f(x) ? 1 - 2x
C. f(x) ? 2 - 2x
D. f(x) ? 2 + 2x


Answer: D

Mathematics

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Find the derivative.s = t7cos t - 5t sin t - 5cos t

A. t7 sin t - 7t6 cos t + 5t cos t B. - 7t6 sin t - 5 cos t + 5 sin t C. - t7 sin t + 7t6 cos t - 5t cos t - 10 sin t D. - t7 sin t + 7t6 cos t - 5t cos t

Mathematics

Solve the problem.The power that a resistor must dissipate is jointly proportional to the square of the current flowing through the resistor and the resistance of the resistor. If a resistor needs to dissipate  of power when  of current is flowing through the resistor whose resistance is  find the power that a resistor needs to dissipate when 

/> of current are flowing through a resistor whose resistance is 

A. 324 watts
B. 72 watts
C. 144 watts
D. 36 watts

Mathematics

Solve the equation on the interval 0 ? ? < 2?.cos ? = sin ?

A.
B.
C.
D.

Mathematics

Indicate whether the Additive Inverse, Additive Identity, Commutative, or Associative property of addition is illustrated in the problem.(5.4 + 3.55) + 8.72 = 5.4 + (3.55 + 8.72)

A. Associative property of addition B. Additive inverse C. Commutative property of addition D. Additive identity

Mathematics