Chapter 4.3, Problem 44E

Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the function without doing any algebra first   ii.) by doing as much algebraic simplification as possible beforehand

One model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of the number n of students enrolled. The relationship is C= 725 - 0.4 n + 0.00012n^2 A) find the cost that corresponds to the minimum cost per pupil B) find the enrollment that corresponds to the minimum cost per pupil

House price y is estimated as a function of the square footage of a house x and a dummy variable d that equals 1 if the house has ocean views. The estimated house price, measured in $1,000s, is given by yˆy^ = 118.90 + 0.12x + 52.60d.   a-1. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 2,000. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)     a-2. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 3,000. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)     b-1. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 2,000. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)     b-2. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 3,000. (Do not round intermediate calculations. Round your final answer to 2…

22. Given the function f(x) = -2x²-16x-29, a) find the slope of the line tangent to the function at the point (-2,-5), then b) write the equation of the function in slope-intercept form. Tangent Slope: Equation of Tangent Line: Show Your Work 口

Describe how to use the second derivative test to find relative maximum and minimum values of a function.

The linear function f(x) = 48.8x + 63.8 models the number of smartphones sold in some country, f(x), in millions, x years after 2006. Find the slope of the model. Then describe what this means in terms of the rate of change of the dependent variable per unit change in the independent variable. The slope of the model is . (Type an integer or a decimal.)

What are the Functions of Several Variables?

House price y is estimated as a function of the square footage of a house x and a dummy variable d that equals 1 if the house has ocean views. The estimated house price, measured in $1,000s, is given by yˆy^ = 119.60 + 0.14x + 54.80d. b-1 Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 1,600. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) predicted price= b-2. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 3,200.  predicted price=

House price y is estimated as a function of the square footage of a house x and a dummy variable d that equals 1 if the house has ocean views. The estimated house price, measured in $1,000s, is given by yˆy^ = 119.60 + 0.14x + 54.80d.   a-1. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 1,600. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) predicted price=    a-2. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 3,200. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) predicted price=