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Example: Sketch the graph of ellipses.
(x +2)2/9 + ( y - 4)2/25 =1
Solution
So, the center of this ellipse is ( -2, 4) and as usual be careful with signs here! Also, we have
a =3 & b= 5. Therefore, the points are,
right most point : (1, 4)
left most point : ( -5, 4)
top most point : ( -2, 9)
bottom most point : ( -2, -1)
Following is a sketch of this ellipse.
The number of calories needed on a daily basis for a moderately active male is found to be k(calories)= 1108 + ( w + h - a ) where w is his weight in pounds, h is his height in inc
if m
Properties of Logarithms 1. log b 1 = 0 . It follows from the fact that b o = 1. 2. log b b = 1. It follows from the fact that b 1 = b . 3. log b b x = x . it c
Definition of an exponential function If b is any number like that b = 0 and b ≠ 1 then an exponential function is function in the form,
what is the slope of x+y=5 and x-y=3
Now we need to discuss the new method of combining functions. The new way of combining functions is called function composition. Following is the definition. Given two functions
a^2-b^2-c^2-2bc
9x-2y=3
2x+3
Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. ??2+??2+16??-18??+145=25.
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