Answer and Step-by-step explanation:
Let x and y be two positive integers and their sum is 14:
X + y = 14
And the sum of square of this number is:
f = x2 + y2
= x2+ (14 – x)2
Differentiate with respect to x, we get:
F’(x) = [ x2 + (14 – x)2]’ = 0
2x + 2(14-x)(-1) = 0
2x +( 28 – 2x)(-1) = 0
2x – 28 +2x = 0
2x + 2x = 28
4x = 28
X = 7
Hence, y = 14 – x = 14 -7 = 7
Now taking second derivative test:
F”(x) > 0
For x = y = 7,f reaches its maximum value:
(7)2 + (7)2 = 49 + 49
= 98
F at endpoints x Є [ 0, 14]
F(0) = 02 + (14 – 0)2
= 196
F(14) = (14)2 + (14 – 14)2
= 196
Hence the sum of squares of these numbers is minimum when x = y = 7
And maximum when numbers are 0 and 14.
Answer:
65
Step-by-step explanation:
180-115=65 bc all the lines are parallel.
Answer:
3.7
Step-by-step explanation:
To change a fraction to a decimal, just divide the numerator with the denominator. Instead of placing the remainder over the divisor, continue to solve until it is answered (unless it's a repeating decimal.)
Divide 7 with 10:
7/10 = 0.7
Remember that there is a whole number, 3. Add that to the decimal you have gotten:
3 + 0.7 = 3.7
3.7 is your answer.
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- Make sure your calculator is in "Deg" <em>(degrees)</em>.
- Input "32"
- Click on the "sin" button.
Answer: 0.5514
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Answer: tan θ
<u>Step-by-step explanation:</u>
cotθ * sin²θ * sec²θ
= 
= tan
Answer:
Because there are fewer than 30 (not no more than 30) one of the answer i x+y < 30
Because he needs both small and large another answer is x>0 and not x 0
Finally because he need at least dozen large cones the last answer is y
Step-by-step explanation:
