3. Una fábrica dedicada a la elaboración de productos de limpieza estima que la variación de su costo para producir sus productos está determinada por \( c(x)=40 x+300 \) dado en dólares al producir \( x \) toneladas diarias de su mercan- cía. Los costos fijos son de 300 dólares diarios, es decir, \( C(0)=300 \). Encuen- tra el costo que tiene producir \( x \) toneladas de material diariamente.

Find the cost function if the marginal cost function is given by \( C^{\prime}(x)=x^{1 / 2}+5 \) and 4 units cost \( \$ 44 \). \( C(x)=\square \)

Use implicit differentiation to find \( \frac{d y}{d x} \) \( 3 y^{2}=\frac{5 x-2}{5 x+2} \)

there 2. In the space below, draw a skecth/picture of the Kahma refiges seeting.

The 2010 census in a particular area gives us an age distribution that is approximately given (in millions) by the function \( f(x)=40.9+2.1 x-0.75 x^{2} \) where \( x \) varies from 0 to 9 decades. The population of a given age group can be found by integrating this function over the interval for that age group. A. The total number of people in this area aged 0 to 90 was about 271 million in 2010 . 20 integral over the interval [ 0,9\( ] \). (a) B. The number of people in this area increased by about 271 million people aged 0 to 90 in (Round to the nearest integer as needed.) Chat does this integral represent? C. The total number of people in this area under 9 years old was about 271 in 2010 . D. About 271 million people aged 0 to 90 have ever lived in this area from year 0 through 2010 .

Find the domain \( f(x)=\frac{\sqrt{4-x^{2}}}{x-1} \)