Answer:
Step-by-step explanation:
To find the distance between (8, -3, 4) and (6, -4, 1), use the distance formula for (x,y,z) points. It is very similar to (x,y) points.
The Mean Value Theorem:
If a function is continuous on [ a, b ] and differentiable on ( a , b ) than there is a point c in ( a, b ) such that:
f ` ( c )= ( f ( b ) - f ( a ) ) / ( b - a )
f ` ( c ) = ( f ( 2 ) - f ( 0 ) ) / ( 2 - 0 )
f `( x ) = 10 x - 3
f ` ( c ) = 10 c - 3
2 f ` ( c ) = 16 - 2
f ` ( c ) = 7
7 = 10 c - 3
c = 1
Answer:
Yes, the function is continuous on [ 0, 2 ] and differentiable on ( 0, 2 ).
Answer:
900 students
Step-by-step explanation:
3/5 of 12,000 = 7,200 who drink coffee
1/8 x 7,200 = 900 who drink coffee with cream
Let us say that t is number of months and n is the number
of cases of Bangkok flu, therefore the equation we can create here is:
dn / dt = 10 t + 450
<span>where 10 represents the slope and 450 represents the
y-intercept</span>
The other endpoint is (10, -8
