Concept explainers
a.
ToEvaluate:The slope of the graph of
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 49E
The slope of the graph of
Explanation of Solution
Given:
The function
Concept Used:
The slope
Calculation:
Given the function
The slope
At
Therefore, slope of the graph of
Conclusion:
Theslope of the graph of
b.
ToEvaluate: The equation of the tangent line to the graph of
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 49E
The equation of the tangent line at the point
Explanation of Solution
Given:
The function
And from part a.) slope of the graph of
Concept Used:
The equation of the tangent line to the graph of a function
Calculation:
From part a.) the slope of the graph of
The equation of the tangent line at the point
Therefore, the equation of the tangent line at the point
Conclusion:
The equation of the tangent line at the point
c.
ToGraph:The function
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 49E
The graph of the function
Explanation of Solution
Given:
The function
And from part b.) the equation of tangent line is
Concept Used:
The graph of a function is the smooth curve, which is the collection of all the points that satisfy the particular function.
Calculation:
For the function
And the tangent line
Plotting both of them on the same graph using a graphing utility, we have
Conclusion:
The graph of the function
Chapter 11 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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- 3) If a is a positive number, what is the value of the following double integral? 2a Love Lv 2ay-y² .x2 + y2 dadyarrow_forward16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d) log x + log(x - 21) = 2 (e) 3 = 14 (f) 2x+1 = 51-2xarrow_forward11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_forward
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