Answer:
Step-by-step explanation:
The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function
g(x,y) = sin(π(x−5y)
∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))
(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]
(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]
∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j
∇g = π [cos (π(x−5y))] [î - 5j]
So, the question requires a direction vector and a point to fully evaluate this directional derivative now.
Answer: C. Adult women who are 30 to 70 years of age and live in the United States.
Step-by-step explanation:
The population in the study is the adult women who are 30 to 70 years of age and live in the United States. In statistics, a population is the whole or entire pool of items or event from which a statistical sample is drawn. A population may refer to an entire group of people, objects, events, church visits, food consumed or measurements. In the case above the population from which the sample was drawn is the adult women from age 30 to 70 that lived in the United States, no sample was drawn outside this population.
The answer would be 6- 52/(x+16)
