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Rama09 [41]
3 years ago
12

Use a graphing utility to approximate (to two decimal places) any relative

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

Relative minima at (-\frac{7}{2} , -\frac{49}{4} ), and relative maxima DNE.

Step-by-step explanation:

The given function is f(x) = x (x + 7) ...... (1)

We have to calculate the relative maxima and relative minima at point (x, y).

Rearranging the function given above we get.

y= x^{2} +7x = (x + \frac{7}{2} )^{2} -\frac{49}{4}

⇒ y+ \frac{49}{4} = (x + \frac{7}{2} )^{2}

Now, this is an equation of parabola having vertex at (-\frac{7}{2} , -\frac{49}{4} ) and the axis is parallel to positive Y-axis.

Therefore, the function(1) has a relative minima at (-\frac{7}{2} , -\frac{49}{4} ), and the relative maxima DNE. (Answer)

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Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
Mrrafil [7]

Given:

a_1=-4 and a_n=a_{n-1}+9 where n\geq 2.

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

a_n=a_{n-1}+d

Where, d is the common difference.

We have,

a_n=a_{n-1}+9

Here, d=9.

The first term of the AP is a_1=-4.

The explicit formula for an AP is:

a_n=a_1+(n-1)d

Substituting a_1=-4 and d=9, we get

a_n=-4+(n-1)9

a_n=-4+9n-9

a_n=-13+9n

Therefore, the required explicit formula for the given sequence is a_n=-13+9n.

6 0
3 years ago
PLEASE HELP
jenyasd209 [6]

Answer:

Step-by-step explanation:

F(x) results in a parabola with vertex (0,0) wich mean there is only one x-int at that point. g(x) has been shifted the grapgh of f(x) to the right by to units and down by three unites. Now our vertex lies in the point (2,-3) and since the graph was move dow i=of the x-axis we now have two different x-intercepts.

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3 years ago
Need help plz!!!?!?!?!?
Kipish [7]

Answer:

54yd

Step-by-step explanation:

Area for the rectangle=8×6

=48yrd

area for the triangle=1/2×4×3

=6yd

Total area=48+6=54yd

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3 years ago
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