For Exercises 75-78, determine if points A , B , and C are collinear. Three points are collinear if they all fall on the same line. There are several ways that we can determine if three points, A , B , and C are collinear. One method is to determine if the sum of the lengths of the segments A B ¯ and B C ¯ equal the length of A C ¯ . 2 , 1 .5 , 4 , 2 , and 8 , 3
For Exercises 75-78, determine if points A , B , and C are collinear. Three points are collinear if they all fall on the same line. There are several ways that we can determine if three points, A , B , and C are collinear. One method is to determine if the sum of the lengths of the segments A B ¯ and B C ¯ equal the length of A C ¯ . 2 , 1 .5 , 4 , 2 , and 8 , 3
Solution Summary: The author explains that the points are collinear if the sum of the lengths of line segments AB and BC equals AC.
For Exercises 75-78, determine if points
A
,
B
,
and
C
are collinear. Three points are collinear if they all fall on the same line. There are several ways that we can determine if three points,
A
,
B
,
and
C
are collinear. One method is to determine if the sum of the lengths of the segments
A
B
¯
and
B
C
¯
equal the length of
A
C
¯
.
8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.
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.
DO 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?
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