Answer:
For the top table:
[x] | 3.1 | 2.5 | 1.2 | 0.9 | 0.14 | 0.06 | 0.02 |
[y] | 15.5 | 12.5 | 6 | 4.5 | 0.7 | 0.3 | 0.1 |
For the bottom table:
k = 5
[x] | 3.1 | 2.5 | 1.2 | 0.9 | 0.14 | 0.06 | 0.02 |
[y] | 15.5 | 12.5 | 6 | 4.5 | 0.7 | 0.3 | 0.1 |
Answer:
SA = 2400 cm²
Step-by-step explanation:
SA of a cube = S² x 6 (the number of its faces)
SA = 20² x 6
SA = 400 x 6
SA = 2400 cm²
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:
Simplify:
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
84.85cm
Step-by-step explanation:
Let the sides of the square be x
The perimeter of the square = 4x
Get x using the pythagoras theorem
x^2 + x^2 = 30^2
2x^2 = 900
x^2 = 450
x = 21.21cm
Perimeter of the plate = 4(21.21)
Perimeter of the plate = 84.85cm
Answer:
224
Step-by-step explanation:
polynomial degree:224
leading term:7x^223
leading coefficient:7
