\( 1 \leftarrow \quad \begin{array}{l}\text { Caladan is currently one of the world's fastest-growing countries. The exponential function } f(x)=91(1.027)^{x} \text { models the } \\ \text { population of Caladan, } f(x) \text {, in millions, } x \text { years after 1974. Using this exponential function and a calculator with a } y^{x} \\ \text { key or } \mathrm{a}^{\wedge} \text { key, answer the following questions. } \\ \text { a. Substitute } 0 \text { for } x \text { and, without using a calculator, find Caladan's population in } 1974 \text {. } \\ \square \text { million }\end{array} \).

The number of U.S. travelers to other countries during the period from 1990 through 2009 can be modeled by the polynomial function \( P(x)=-0.00530 x^{3}+0.1366 x^{2}+1.250 x+46.49 \) where \( x=0 \) represents \( 1990, x=1 \) represents 1991 , and so on and \( P(x) \) is in millions. Use this function to approximate the number of \( U \).S. travelers to other countries in each given year. (a) 1990 (b) 2000 (c) 2009 (a) In 1990 , the number of U.S. travelers to other countries was approximately \( \square \) million. (Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.) (b) In 2000, the number of U.S. travelers to other countries was approximately \( \square \) million. (Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.) (c) In 2009, the number of U.S. travelers to other countries was approximately \( \square \) million. (Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.)

Determine the implied domain of the following function. Express your answer in interval notation. \[ f(x)=\sqrt{x}-9 \] Answer

Argumen dari \( 1-i \sqrt{3} \) adalah...

Select your answer What is the direction of a vector with a horizontal component of -2 and a vertical component of -4 ? \( -63^{\circ} \) \( -117^{\circ} \) 0.

Where is there a discontinuity / are there discontinuities (holes or asymptotes) in the rational function \( f(x)=\frac{x^{2}+3 x+2}{x^{2}-4} ? \) \( x= \) 0 \( x= \) 2 \( x= \) -2 \( x=2 \) -2 \( x=0 \) \( 2,-2 \) \( x \)