Give the formula for a function with domain (5, ∞) that has the following properties:
1 answer:
Answer:
The area under the curve y = f(x) at x-axis, on the interval x E (5, ∞) is equal to 7.
Step-by-step explanation:
Solution
Given that:
f(x) = 7√x-5
The function of domain is:
D = x-5 > 0
x>5
so,
x← (5, ∞)
Now,
(1) The sequence root function is always known as positive, i.p defined from x E (5, ∞)
i.p =√x-5
Thus,
7/√x-5 >0
Therefore f(x) = 7/√√x-5 which is a positive integer, which is defined in domain x E (5, ∞).
Each value exist a real and unique values of f(x)
Now,
The function f(x) is continuous and over the interval(5, ∞)
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The equation of a hyperbola is /9 -
/4 = 1
What are the steps to Hyperbola equation ?
To find the equation of hyperbola, the following steps must be taken. You need to identify;
- The coordinate of the center
- The coordinate of the vertices
- The coordinate of the foci
The general equation of a hyperbola can be expressed as
/
-
/
= 1
From the graph, we have the following parameters
a = 3
=
= 9
b = 2
=
= 4
The equation of a hyperbola can be expressed as
/9 -
/4 = 1
The vertices = V(+/-a,0) = (+/-3,0)
The center = C(0,0)
The focus = F(+/-C, 0)
Where =
+
C =
C =
Focus = F(+/- , 0)
The general equation for asymptote = +/- b/a X
= +/-2/3X
Therefore, the equation of a hyperbola can be expressed as
/9 -
/4 = 1
Learn more about hyperbola here: brainly.com/question/3405939
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