The bar graph shows the average number of hours per week that U.S. wives and husbands engaged in housework in six selected years. Use this information to solve Exercises 115-116. The function f ( x ) = 1.8 ln x + 3.42 models the husbands' weekly housework hours, f ( x ). x years after 1964. a. Use the function to find the number of weekly housework hours for husbands in 2010. Round to the nearest hour. Does this function value overestimate or underestimate the number of hours displayed by the graph? By how much? b. Use the function to project husbands' weekly housework hours in 2025. Round to the nearest hour.
The bar graph shows the average number of hours per week that U.S. wives and husbands engaged in housework in six selected years. Use this information to solve Exercises 115-116. The function f ( x ) = 1.8 ln x + 3.42 models the husbands' weekly housework hours, f ( x ). x years after 1964. a. Use the function to find the number of weekly housework hours for husbands in 2010. Round to the nearest hour. Does this function value overestimate or underestimate the number of hours displayed by the graph? By how much? b. Use the function to project husbands' weekly housework hours in 2025. Round to the nearest hour.
Solution Summary: The author explains that the function f(x) represents the husbands’ weekly housework hours, x years after 1964.
The bar graph shows the average number of hours per week that U.S. wives and husbands engaged in housework in six selected years. Use this information to solve Exercises 115-116.
The function
f
(
x
)
=
1.8
ln
x
+
3.42
models the husbands' weekly housework hours, f(x). x years after 1964.
a. Use the function to find the number of weekly housework hours for husbands in 2010. Round to the nearest hour. Does this function value overestimate or underestimate the number of hours displayed by the graph? By how much?
b. Use the function to project husbands' weekly housework hours in 2025. Round to the nearest hour.
You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methods
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