Answer:
a)
b)
Step-by-step explanation:
Recall that given a function f(x,y,z) then . To find f, we will assume it exists and then we will find its form by integration.
First assume that F = . This implies that
if we integrate with respect to x we get that
for some function g(y,z). If we take the derivative of this equation with respect to y, we get
This must be equal to the second component of F. Then
This implies that , which means that g depends on z only. So
Taking the derivative with respect to z and making it equal to the third component of F, we get
which implies that which means that g(z) = K, where K is a constant. So
b) To evaluate we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.
Recall that so
Also so
So
Anything between 71.5 and 72.499 recurring.
Hope this helps :)
Okay first I think you might’ve highlighted incorrectly. You want to make sure the angles match with each other. Next you set up a proportion and solve. I’ll draw this all out for you. I hope this helps! :))
Answer:
Step-by-step explanation:
Given: There are 2 classes of 25 students.
13 play basketball
11 play baseball.
4 play neither of sports.
Lets assume basketball as "a" and baseball as "b".
We know, probablity dependent formula; P(a∪b)= P(a)+P(b)-p(a∩b)
As given total number of student is 25
Now, subtituting the values in the formula.
⇒P(a∪b)=
taking LCD as 25 to solve.
⇒P(a∪b)=
∴ P(a∪b)=
Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is .