Answer:
180 ft^2
Step-by-step explanation:
larger box: 8*3*5 = 120
here we see that one side of the smaller box is unlabeled. but the total side length is 7, and the larger box is 3 long, so:
smaller box= (7-3)*3*5 = 60
total=120+60=180
We want to find a scalar function

such that

.
So we need to have

Integrating both sides with respect to

gives

Differentiating with respect to

gives



So we find that

By the fundamental theorem of calculus, we then know the line integral depends only on the values of

at the endpoints of the path. Therefore
Answer:
Area= 64pi or 201.06
Circumference: 16pi or 50.265
Step-by-step explanation:
Area= \pi r^{2}
pi (8)^2 = 64pi or 201.06
Circumference= 2pir , 2(pi)8 = 16pi or 50.2
Answer:
The appropriate response is "0.9476".
Step-by-step explanation:
The given values are:
Standard deviation,

Randomly selected railroad-car shipments,
n = 500
As we know,
⇒ 
On substituting the values, we get
⇒ 
then,
⇒ 
⇒ 
On using the table of P, we get
⇒ 
⇒ 
D. 7
e. 4
f. 5
g. 11
Get these by adding/subtracting the number at the end (use the opposite operation) and then divide the coefficient from both sides.