Answer:
Average value of the function over the interval is 3.
Step-by-step explanation:
Average value of the function y = 2x³ - 3x² over the interval (-1, 3) will be defined by the area under curve for the given interval divided by width of the interval.
A = 
= ![[\frac{2x^{4}}{4}-\frac{3x^{3}}{3}]^{3}_{(-1)}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B2x%5E%7B4%7D%7D%7B4%7D-%5Cfrac%7B3x%5E%7B3%7D%7D%7B3%7D%5D%5E%7B3%7D_%7B%28-1%29%7D)
= ![[\frac{x^{4}}{2}]^{3}_{-1}-[x^{3}]^{3}_{-1}](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bx%5E%7B4%7D%7D%7B2%7D%5D%5E%7B3%7D_%7B-1%7D-%5Bx%5E%7B3%7D%5D%5E%7B3%7D_%7B-1%7D)
= ![[\frac{3^{4}-(-1)^{4} }{2}]-[3^{3}-(-1)^{3}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B3%5E%7B4%7D-%28-1%29%5E%7B4%7D%20%7D%7B2%7D%5D-%5B3%5E%7B3%7D-%28-1%29%5E%7B3%7D%5D)
= ![[\frac{81-1}{2}]-[27+1]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B81-1%7D%7B2%7D%5D-%5B27%2B1%5D)
= 
= 12
Width of the interval = 3 - (-1) = 4
Average value = 
Therefore, average value of the function over the given interval is 3.
Answer:
If you look at my comments i went through all of them and found out that (A7, B4) do NOT go together!
Step-by-step explanation:
I hope this helped
Answer:
1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+24+13=2x−16
x+ 1 2 + 1 3 =2x+ −1 6
(x)+( 1 2 + 1 3 )=2x+ −1 6 (Combine Like Terms)
x+ 5 6 =2x+ −1 6
x+ 5 6 =2x+ −1 6
Step 2: Subtract 2x from both sides.
x+ 5 6 −2x=2x+ −1 6 −2x
−x+ 5 6 = −1 6
Step 3: Subtract 5/6 from both sides.
−x+ 5 6 − 5 6 = −1 6 − 5 6
−x=−1
Step 4: Divide both sides by -1.
−x −1 = −1 −1
x=1
C and D. same shape and side
A. (l + w) X 2
B. **there isn't a rectangle shown in the picture so use the expression above
C. l X w
D. **again a rectangle isn't shown so use the expression for area
