Exercises 55-58 refer to the following plot of some level curves of f ( x , y ) = c for c = − 2 , 0 , 2 , 4 , and 6. (Each grid square is 1 u n i t × 1 u n i t .) [ Hint: See Example 8.] Estimate: a. f ( 1 , 1 ) b. f ( − 2 , − 1 ) c. f ( 3 , − 2.5 )
Exercises 55-58 refer to the following plot of some level curves of f ( x , y ) = c for c = − 2 , 0 , 2 , 4 , and 6. (Each grid square is 1 u n i t × 1 u n i t .) [ Hint: See Example 8.] Estimate: a. f ( 1 , 1 ) b. f ( − 2 , − 1 ) c. f ( 3 , − 2.5 )
Solution Summary: The author calculates the estimated value of f(1,1) from the curve.
Exercises 55-58 refer to the following plot of some level curves of
f
(
x
,
y
)
=
c
for
c
=
−
2
,
0
,
2
,
4
, and 6. (Each grid square is
1
u
n
i
t
×
1
u
n
i
t
.) [Hint: See Example 8.]
Find the lengths of the curves in Exercises 13–14.
13. y = x^1/2 - (1/3)x^3/2, 1<=x<= 4
14. x = y2/3, 1<= y <= 8
Determine ? such that ?′′(?) = 12? − 1 and 1 is both a critical number and a y- intercept of ?.
Determine whether T ([x y]) is a projection or a reflection onto/across a line, and determine the equation of that line. Hint: line has y-intercept of zero.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY