Find the character of the roots.t2 - 6t + 9 = 0
A. Two different irrational solutions
B. Exactly one rational solution
C. Two different rational solutions
D. Two different imaginary solutions
Answer: B
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Solve the problem.The van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) = -
, where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the derivative of the function with respect to each variable.
A. PV = ; PT =
-
B. PV = - +
; PT =
C. PV = -
; PT =
D. PV = -
; PT =
Evaluate the integral.dx
A. - 3 tan-1 x +
ln(x2 + 1) + C
B. - ln
- 3 tan-1 x +
ln(x2 + 1) + C
C. - ln
+
ln(x2 + 1) + C
D. - ln
- 5 tan-1 x + ln(x2 + 1) + C
Solve the problem. If necessary, round to the nearest tenth.On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 37 m long and the shadow is 31 m, how tall is the building?
A. 30.4 m B. 48.3 m C. 20.2 m D. 6.0 m
Using the exponential key of a calculator to find an approximation to the nearest thousandth.0.64.458
A. 0.103 B. 3.6 C. 2.675 D. 7849.471