Answer:
1/1001 < 4/10 < 49/100 < 357/10
Step-by-step explanation:
4/10 => 0.4
49/100 => 0.49
357/10 => 35.7
1/1001 => 0.0009
Ascending order is from smallest to the greatest.
Answer:
9
Step-by-step explanation:
The first thing we shall be doing here is substituting f(x) into g(x).
Mathematically, that would be written as g(f(x))
= 2(4x-3)-1 = 8x -6 -1 = 8x - 7
Now we shall find g(f(2)) by substituting 2 into the expression above.
Mathematically, that would be 8(2) -7 = 16-7 = 9
Answer:
5x+5y=15
Step-by-step explanation:
The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5