
Concept explainers
a.
Find equation of parallel line.
a.

Answer to Problem 80E
Explanation of Solution
Given information:
Write equations of the lines through the given point parallel to given line.
Calculation:
Consider the given points on line.
The equation of line with slope
If the slopes of two non vertical lines are equal then lines are parallel.
If the slopes of two non vertical lines are negative reciprocal of each other then lines are perpendicular.
Now compare given line with standard equation of slope intercept form ,
Subtract
A line parallel to given line will have slope equal to the given line and it will pass through the given point
Apply point slope form of equation,
Subtract
Hence, the line through point
b.
Find equation of perpendicular line.
b.

Answer to Problem 80E
Explanation of Solution
Given information:
Write equations of the lines through the given point parallel to given line.
Calculation:
Consider the given points on line.
The equation of line with slope
If the slopes of two non vertical lines are equal then lines are parallel.
If the slopes of two non vertical lines are negative reciprocal of each other then lines are perpendicular.
Now compare given line with standard equation of slope intercept form ,
Subtract
Apply point slope form of equation,
Subtract
Hence, the line through point
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.arrow_forwardExplain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)arrow_forwarduse Integration by Parts to derive 12.6.1arrow_forward
- Explain the relationship between 12.3.6, (case A of 12.3.6) and 12.3.7arrow_forwardExplain the key points and reasons for the establishment of 12.3.2(integral Test)arrow_forwardUse 12.4.2 to determine whether the infinite series on the right side of equation 12.6.5, 12.6.6 and 12.6.7 converges for every real number x.arrow_forward
- use Corollary 12.6.2 and 12.6.3 to derive 12.6.4,12.6.5, 12.6.6 and 12.6.7arrow_forwardExplain the focus and reasons for establishment of 12.5.1(lim(n->infinite) and sigma of k=0 to n)arrow_forwardExplain the focus and reasons for establishment of 12.5.3 about alternating series. and explain the reason why (sigma k=1 to infinite)(-1)k+1/k = 1/1 - 1/2 + 1/3 - 1/4 + .... converges.arrow_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





