
Concept explainers
a.
To graph:
The given function using a graphing utility.
a.

Answer to Problem 107E
The graph of our given function would be:
Explanation of Solution
Given:
A function:
Calculation:
Upon graphing the given functionusing a graphing utility, we will get our required graph as shown below:
b.
To find:
The domain of the given function.
b.

Answer to Problem 107E
The domain of our given logarithmic function would be
Explanation of Solution
Given:
A function:
Calculation:
We know that logarithmic functions are not defined for negative values and radical functions are defined for non-negative numbers. To find domain of our given function, we will set argument of radical function greater than or equal to 0 as:
Therefore, the domain of our given logarithmic function would be or
c.
To find:
Open intervals on which the given function is increasing and decreasing using the graph of function.
c.

Answer to Problem 107E
The function is increasing on interval
Explanation of Solution
Given:
A function:
Calculation:
Upon looking at graph of our given function, we can see that the given function never decreases. The function is increasing from 1 to positive infinity.
Therefore, the function is increasing on interval
d.
To approximate:
The
d.

Answer to Problem 107E
The relative minimum of the given function is
Explanation of Solution
Given:
A function:
Calculation:
We can see from our given graph that there is no maximum value for our given function.
We can see that the minimum value of our given function occurs at that is
Therefore, the relative minimum of the given function is
Chapter 3 Solutions
Precalculus with Limits: A Graphing Approach
- PLEASE SHOW ME THE RIGHT ANSWER/SOLUTION SHOW ME ALL THE NEDDED STEP 13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.arrow_forwardDO NOT GIVE THE WRONG ANSWER SHOW ME ALL THE NEEDED STEPS 11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?arrow_forwardplease answer by showing all the dfalowing necessary step DO NOT GIVE ME THE WRONG ANSWER The sides of a cube of ice are melting at a rate of 1 inch per hour. When its volume is 64 cubic inches, at what rate is its volume changing?arrow_forward
- For each graph in Figure 16, determine whether f (1) is larger or smaller than the slope of the secant line between x = 1 and x = 1 + h for h > 0. Explain your reasoningarrow_forwardPoints z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.arrow_forwardA polar curve is represented by the equation r1 = 7 + 4cos θ.Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.Part B: Is the curve symmetrical to the polar axis or the line θ = pi/2 Justify your answer algebraically.Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?arrow_forward
- A curve, described by x2 + y2 + 8x = 0, has a point A at (−4, 4) on the curve.Part A: What are the polar coordinates of A? Give an exact answer.Part B: What is the polar form of the equation? What type of polar curve is this?Part C: What is the directed distance when Ø = 5pi/6 Give an exact answer.arrow_forwardNew folder 10. Find the area enclosed by the loop of the curve (1- t², t-t³)arrow_forward1. Graph and find the corresponding Cartesian equation for: t X== y = t +1 2 te(-∞, ∞) 42,369 I APR 27 F5 3 MacBook Air stv A Aa T 4 DIIarrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





