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:
Not a function
Step-by-step explanation:
If you use the line/ pencil test ***I think that's what it's called...
you put a pencil flat on the graph and if it touches more than one point, it is not a function. This only works with some graphs.But it works with this one.
Answer:
To find the volume of a triangle pyramid, you would use the formula V = 1/3AH, where A = area of the triangle base, and H = height of the pyramid or the distance from the pyramid's base to the apex.
Hope this helps!!
Answer:
x-3=6
Step-by-step explanation:
The volume is proportional to the cube of the radius:
4^3=64
The volume will be 64 times the original value!
