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Concept explainers
a.
Make a
a.
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Answer to Problem 3P
Explanation of Solution
Given information:
To estimate ages of trees, forest rangers use a linear model that relates tree diameter to age. The model is useful because tree diameter is much easier to measure than tree age (which requires special tools for extracting a representative cross-section of the tree and counting the rings). To find the model, use the data in the table, which were collected for a certain variety of oaks.
Calculation:
The scatter plot of the data is given as,
Hence, the graph is shown above.
b.
Find and graph a linear function that models the data.
b.
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Answer to Problem 3P
Explanation of Solution
Given information:
To estimate ages of trees, forest rangers use a linear model that relates tree diameter to age. The model is useful because tree diameter is much easier to measure than tree age (which requires special tools for extracting a representative cross-section of the tree and counting the rings). To find the model, use the data in the table, which were collected for a certain variety of oaks.
Calculation:
Using a calculator, we find the following regression line that models the data in the form of,
Using regression calculator,
Substituting
Hence, the linear function that models the data is
c.
Use the model to estimate the age of an oak whose diameter is
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 3P
Explanation of Solution
Given information:
To estimate ages of trees, forest rangers use a linear model that relates tree diameter to age. The model is useful because tree diameter is much easier to measure than tree age (which requires special tools for extracting a representative cross-section of the tree and counting the rings). To find the model, use the data in the table, which were collected for a certain variety of oaks.
Calculation:
The diameter
Hence, the estimated age of an oak whose diameter is
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- T 1 7. Fill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. So π/2 2 2πxcosx dx Find the volume of the solid obtained when the region under the curve on the interval is rotated about the axis.arrow_forward38,189 5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x| ≤ and the curve y y = about the line x = =플 2 80 F3 a FEB 9 2 7 0 MacBook Air 3 2 stv DGarrow_forwardFind f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x. h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1 - - - f(x) = ☐arrow_forward
- x-4 Let f(x)=5x-1, h(x) = Find (fo h)(0). 3 (fo h)(0) = (Type an integer or a fraction.)arrow_forwardFill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. π/2 So/² 2xcosx dx Find the volume of the solid obtained when the region under the curve 38,189 on the interval is rotated about the axis.arrow_forwardLet f(x) = -5x-1, g(x) = x² + 5, h(x) = · x+4 3 Find (hog of)(1). (hogof)(1)= (Simplify your answer. Type an integer or a decimal.)arrow_forward
- For the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value. y= f(x) = x²+x; x=-1,x=2 a. Which of the following formulas can be used to find the slope of the secant line? ○ A. 2-(-1) f(2) f(-1) 2+(-1) C. 1(2)+(-1) The equation of the secant line is 1(2)+(-1) О в. 2+(-1) f(2)-(-1) D. 2-(-1)arrow_forwardplease do not use chat gptarrow_forwardUse technology to find f'(4), f'(16), f'(-5) for the given function when the derivative exists. f(x) = -2x² + +10xarrow_forward
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