The arithmetic mean (average) to two numbers c and d is given by x ¯ = c + d 2 . The value x ¯ is equidistant between c and d , so the sequence c , x ¯ , d is an arithmetic sequence. Inserting k equally values between c and d , yields the arithmetic sequence c , x ¯ 1 , x ¯ 2 , x ¯ 3 , x ¯ 4 , … , x ¯ k , d . Use this information for Exercises 81-82. Insert four arithmetic means between 19 and 64.
The arithmetic mean (average) to two numbers c and d is given by x ¯ = c + d 2 . The value x ¯ is equidistant between c and d , so the sequence c , x ¯ , d is an arithmetic sequence. Inserting k equally values between c and d , yields the arithmetic sequence c , x ¯ 1 , x ¯ 2 , x ¯ 3 , x ¯ 4 , … , x ¯ k , d . Use this information for Exercises 81-82. Insert four arithmetic means between 19 and 64.
Solution Summary: The author explains the four arithmetic means between 19 and 64, and the sequence c,stackrel x,d.
The arithmetic mean (average) to two numbers
c
and
d
is given by
x
¯
=
c
+
d
2
. The value
x
¯
is equidistant between
c
and
d
, so the sequence
c
,
x
¯
,
d
is an arithmetic sequence. Inserting
k
equally values between
c
and
d
, yields the arithmetic sequence
c
,
x
¯
1
,
x
¯
2
,
x
¯
3
,
x
¯
4
,
…
,
x
¯
k
,
d
. Use this information for Exercises 81-82.
a
->
f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem)
Muslim_maths
Use Green's Theorem to evaluate F. dr, where
F = (√+4y, 2x + √√)
and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to
(0,0).
Evaluate
F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line
π 1
1
segment starting at the point (8,
'
and ending at the point (3,
2
3'6
University Calculus: Early Transcendentals (4th Edition)
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