Answer:
A) -2
Step-by-step explanation:
The form is indeterminate at x=0, so L'Hopital's rule applies. The resulting form is also indeterminate at x=0, so a second application is required.
Let f(x) = x·sin(x); g(x) = cos(x) -1
Then f'(x) = sin(x) +x·cos(x), and g'(x) = -sin(x).
We still have f'(0)/g'(0) = 0/0 . . . . . indeterminate.
__
Differentiating numerator and denominator a second time gives ...
f''(x) = 2cos(x) -sin(x)
g''(x) = -cos(x)
Then f''(0)/g''(0) = 2/-1 = -2
_____
I like to start by graphing the expression to see if that is informative as to what the limit should be. The graph suggests the limit is -2, as we found.
The linear inequality is
16S + 10T ≤ 100
T = Number of t-shirts
S = Number of shorts
For 2 shorts,
32 + 19T ≤ 100.
<h3>What is inequality?</h3>
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Cost of shorts = $16
Cost of t-shirts = $10
Total amount to spend = $100
Number of shorts to purchase = S
Number of t-shirts to purchase = T
The linear inequality is given as:
16S + 10T ≤ 100
Since S = 2,
16 x 2 + 10T ≤ 100
32 + 10T ≤ 100
10T ≤ 100 - 32
1OT ≤ 68
T ≤ 6.8
This means he can buy 6 or less than 6 t-shirts.
Thus,
The linear inequality is
16S + 10T ≤ 100
T = Number of t-shirts
S = Number of shorts
For 2 shorts,
32 + 19T ≤ 100.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ1
Answer:
39.29 ft
Step-by-step explanation:
We are made to know that the fountain contains two semi circles and a quarter-circle.
This means the fountain contains a total of 1+1/4 = 1.25 circles
Interestingly, the circles are similar and have the same diameter.
Now the perimeter of a circle with diameter 10ft is simply πd = 10 π
Now, since we have a total of 1.25 circles, the total perimeter would be 1.25 * 10 π = 12.5 π ft
With π as 22/7, the actual value of the perimeter would be 39.29 ft
Answer:
the middle one is correct
Step-by-step explanation:
the first one is incorrect because the way negative numbers are ordered is incorrect it should be "-3, -2, -1"
the middle one is correct because the pattern is consistent and the order of the numbers are correct
the third one is incorrect because the pattern doesn't match "-15" isn't counting by twos 15 isn't an even number
hope I helped ❤