1) Write these using index notation: a. 2 X 2 X 2 X 2 b. 5 X 5 X 5 X 7 X 7
1 answer:
Answer:
a)
b) x
Step-by-step explanation:
You can group together like base values, so 3 x 3 x 3 x 3 x 3 becomes 3 to the power of 5. All it means is that you are multiplying the base value (in this case 3) by itself 5 times.
Index notation makes it easier in more complex equations to solve, as its simpler and doesn't take up as much space.
Hope this helped : )
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Answer: 6
Explanation
If we divide our figure into six, we get the following figure:
As we can see, we are left with 6 equal parts. This can be confirmed by solving the equation:
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
