The problem can be solved step by step, if we know certain basic rules of summation. Following rules assume summation limits are identical.
Armed with the above rules, we can split up the summation into simple terms:
=> (a)
f(x)=28n-n^2=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b)
f(x) is a maximum when n=14
(c)
the maximum value of f(x) is f(14)=196
The range of the function on the graph is all real numbers greater than or equal to 2 because the range of a function is what the value of y could be, and y begins at 2 and keeps increasing indefinitely.
Hope this helps!
Answer:
113-2t√17
Step-by-step explanation:
Answer:
Step-by-step explanation:
Put the values:
While subtracting , sign of each term of the second expression changes.
Add the numbers : 9 and 9
Hope I helped!
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The measure of the sides is 27, 23 and 16 and the perimeter is 56 respectively
<h3>The perimeter of a triangle</h3>
The triangle is a 2 dimensional shape that has 2 sides.
Given the following sides
l = m + n - 12
n = m - 7
m = l - 1/4n
l = m + 1/4n
Substitute
m + 1/4n = m + m - 7 - 12
m + 1/4(m-7) = 2m - 19
m + 1/4m - 7/4 = 2m - 19
-m + 1/4m = -19 + 7/4
-3/4m = -19(4)+7/4
-3/4m = -69/4
-3m = -69
m = 23
Hence the value of m from the given expression is 23
n = 23 - 7
n = 16
l = 23 + 16 -12
l = 39 - 12
l = 27
n = 23 - 7
n = 16
Hence the measure of the sides is 27, 23 and 16 respectively
Perimeter = 27+23+16
Perimeter = 56
Learn more on perimeter of triangle here: brainly.com/question/24382052
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