answer:The divergence of a vector field f(x,y,z)uvec{i} + g(x,y,z)uvec{j} + h(x,y,z)uvec{k} is given by the formula: text{div}(fuvec{i} + guvec{j} + huvec{k}) = frac{partial f}{partial x} + frac{partial g}{partial y} + frac{partial h}{partial z} So, for the given vector field, we have: begin{split} text{div}left(frac{1}{x}uvec{i} + sqrt{y}uvec{j} + cos left(frac{x}{z}right)uvec{k}right) &= frac{partial}{partial x}left(frac{1}{x}right) + frac{partial}{partial y}(sqrt{y}) + frac{partial}{partial z}left(cos left(frac{x}{z}right)right) &= -frac{1}{x^2} + frac{1}{2sqrt{y}} - frac{x sin left(frac{x}{z}right)}{z^2} &= -frac{1}{x^2}+frac{x sin left(frac{x}{z}right)}{z^2}+frac{1}{2 sqrt{y}} end{split} The answer is -frac{1}{x^2}+frac{x sin left(frac{x}{z}right)}{z^2}+frac{1}{2 sqrt{y}}

answer:1. Developing a new medicine is necessary to treat patients infected with malaria caused by chloroquine-resistant mosquitoes. 2. Identifying the causal mosquito is crucial for determining the appropriate treatment and implementing targeted control measures. While selling chloroquine should not be stopped completely, as it can still be effective against non-resistant strains of mosquitoes, it is important to focus on developing new medicines and identifying the causal mosquito to effectively manage malaria cases. To address the issue of chloroquine resistance in mosquitoes, the following courses of action should be taken: 1. Researchers should develop a new medicine for patients affected by such mosquitoes. 2. All patients suffering from malaria should be checked for identification of the causal mosquito.

answer:The equation x = -6 represents a vertical line. In general, when an equation is in the form x = a, where a is a constant, it indicates a vertical line that passes through the x-axis at the point (a, 0). The slope of a line is defined as the change in y over the change in x. For a vertical line, the x-value remains constant, and there is no change in x. As a result, the slope of a vertical line is undefined.

answer:These are examples of life change stressors.