The area of D is given by:
The average value of f over D is given by:
![\frac{1}{ \frac{343}{3} } \int\limits^7_0 \int\limits^{x^2}_0 {4x\sin(y)} \, dydx = -\frac{3}{343} \int\limits^7_0 {4x\cos(x^2)} \, dx \\ \\ =-\frac{3}{343} \int\limits^{49}_0 {2\cos(t)} \, dt=-\frac{6}{343} \left[\sin(t)\right]_0^{49} \, dt=-\frac{6}{343}\sin49](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%5Cfrac%7B343%7D%7B3%7D%20%7D%20%20%5Cint%5Climits%5E7_0%20%20%5Cint%5Climits%5E%7Bx%5E2%7D_0%20%7B4x%5Csin%28y%29%7D%20%5C%2C%20dydx%20%20%3D%20-%5Cfrac%7B3%7D%7B343%7D%20%20%5Cint%5Climits%5E7_0%20%7B4x%5Ccos%28x%5E2%29%7D%20%5C%2C%20dx%20%20%5C%5C%20%20%5C%5C%20%3D-%5Cfrac%7B3%7D%7B343%7D%20%5Cint%5Climits%5E%7B49%7D_0%20%7B2%5Ccos%28t%29%7D%20%5C%2C%20dt%3D-%5Cfrac%7B6%7D%7B343%7D%20%5Cleft%5B%5Csin%28t%29%5Cright%5D_0%5E%7B49%7D%20%5C%2C%20dt%3D-%5Cfrac%7B6%7D%7B343%7D%5Csin49)
Answer:
-8.95
Step-by-step explanation:
(-6) + (-4.25) = -10.25
-10.25 + 1.3 = -8.95
Answer:
11
Step-by-step explanation:
The rate of change is the ratio of the change in Y to the change in X.
When Y changes from -40 to 4, that is an increase of 44 (4--40=4+40=44), so the change in Y is +44. The corresponding change in X is from -3 to 1, so the change in X is +4 (1--3=1+3=4). The ratio of the change in Y to the change in X is 44/4=11.
Try doing the same computation going from the second row to the third row and you will get the same ratio of 11.
If each ticket is $9.75, then you multiply $9.75 by how many tickets he's buying. In this case he's buying 3, so it's 9.75x3. The total for that is $29.25. You subtract $28.25 from $43 and that leaves him with $13.75
Answer:
figure it out dummy
Step-by-step explanation:
