For Exercise 41-54, write the equation in the form x − h 2 + y − k 2 = c . Then if the equation represents a circle, identify the center and radius. If the equation represents a degenerate case, give the solution set. (See Examples 3-4) 4 x 2 + 4 y 2 − 12 x + 9 = 0
For Exercise 41-54, write the equation in the form x − h 2 + y − k 2 = c . Then if the equation represents a circle, identify the center and radius. If the equation represents a degenerate case, give the solution set. (See Examples 3-4) 4 x 2 + 4 y 2 − 12 x + 9 = 0
Solution Summary: The author explains the standard form of the equation 4x2+4y 2-12x+9=0, which represents a degenerate case.
For Exercise 41-54, write the equation in the form
x
−
h
2
+
y
−
k
2
=
c
.
Then if the equation represents a circle, identify the center and radius. If the equation represents a degenerate case, give the solution set. (See Examples 3-4)
For the following function f and real number a,
a. find the slope of the tangent line mtan
=
f' (a), and
b. find the equation of the tangent line to f at x = a.
f(x)=
2
=
a = 2
x2
a. Slope:
b. Equation of tangent line: y
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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