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vichka [17]
3 years ago
5

Find the average value of the function f(x)= xsqrt(x^2+9) on the interval x=0 and x=4

Mathematics
1 answer:
Kipish [7]3 years ago
7 0
This would be   4 * sqrt25 -  0
                        -----------------  =  sqrt25  = 5 answer
                           4 - 0
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Step-by-step explanation:

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Trisha is going to make a border of icing around a circular cake with a diameter of 8 inches which of the following represents t
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Answer:

B. 25.12

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The diagram shows the rectangle ABCD, where A is (3,2) and B is (1,6).
In-s [12.5K]
(i)
A(3,2),B(1,6)
\\
\\m_{AB}= \frac{6-2}{1-3}=-2
\\
\\m_{BC}m_{AB}=-1
\\ 
\\m_{BC}= \frac{-1}{m_{AB}} = \frac{-1}{-2}= \frac{1}{2}  
\\
\\B(1,6)\Rightarrow x_1=1,y_1=6
\\
\\BC:y-y_1=m_{BC}(x-x_1)
\\
\\y-6= \frac{1}{2}(x-1)
\\
\\2y-12=x-1
\\x-2y+11=0

(ii)
AC:y=x-1
\\BC:x-2y+11=0
\\
\\C=AC\cap BC
\\
\\x-2(x-1)+11=0
\\x-2x+2+11=0
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(iii)
A(3,2)B(1,6),C(13,12)
\\P=2(d(A,B)+d(B,C))
\\
\\d(A,B)= \sqrt{(1-3)^2+(6-2)^2}= \sqrt{20}  =2 \sqrt{5} 
\\
\\d(B,C)= \sqrt{(13-1)^2+(12-6)^2}= \sqrt{180}= 6\sqrt{5}  
\\ 
\\P=2(2 \sqrt{5}+6 \sqrt{5})=2\times8 \sqrt{5} =16 \sqrt{5}
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3 years ago
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Margaret [11]

Answer:

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Step-by-step explanation:

a = 10

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5 0
3 years ago
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