The population of a rural city follows the exponential growth model \( P(t)=3400 e^{0.039 t} \) where \( t \) is the number of years after 1994. a) What was the population of this city in 1994 ? b) What is the relative growth rate as a percent? c) Use this model to approximate the population in 2040 . a) The population in the year 1994 was b) The relative growth rate is \( \square \% \). c) The projected population for the year 2040 is (Round to the nearest whole number as needed.)

If the force of magnitude 12 N . is resolved into two components \( \overrightarrow{\mathrm{F}_{1}} \) and \( \overrightarrow{\mathrm{F}_{2}} \) inclined to the force by two angles of measures \( 30^{\circ} \) and \( 90^{\circ} \) respectively, then \( F_{2}=\ldots \ldots \ldots . \mathrm{N} \). \( \begin{array}{ll}\text { (a) } 10 & \text { (b) } 10 \sqrt{3} \\ \text { (c) } 6 \sqrt{3} & \text { (d) } 4 \sqrt{3}\end{array} \)

23 Calcula, si existe. \( \begin{array}{ll}\text { a) } \sqrt{49} & \text { b) } \sqrt{7^{2}}\end{array} \)

Homewert Drow a rectangle shopl with \( 6.7 \mathrm{~cm}-\mathrm{N}=6 \mathrm{~cm} \)

4) \( \int x^{\frac{3}{4}} d x \)

If \( \alpha \) and \( \beta \) are the roots of the wadratic equation \( 4 x^{2}-5 x-1 t 0 \) in if quedratic equation whese ront s \( 2-\alpha \) and \( 2-\beta \)