The answer is <span>a.)(x - 4)2 = 3.
(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0
Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0
Thus:
8x = 2ax and a² - b = 13
Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4
Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3
Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
Answer:
42
Step-by-step explanation:
The answer to life the universe and everything is 42
Simple, 3*15= 45
Answer= 45
hope this helped!
X=0 and I need at least 20 characters so yea I hope this helps
<span> The surface area of a curve y = f(x) generated by revolving about the x-axis on the interval [a,b]
= 2π*∫y*√(1 + (dy/dx)² dx from a to b
In this problem:
dy/dx = 3x²/4
The surface area generated by revolving the curve y = x^3/4 on the interval [0,1] about the x-axis:
= 2π*∫(x^3/4)*√(1 + 9x^4/16) dx from 0 to 1
= π/8*∫x^3*√(16 +9x^4) dx from 0 to 1
u = 16 + 9x^4
du/36 = x^3 dx
= π/288*∫√u du from 16 to 25
= π/288[2/3*u^(3/2) eval. from 16 to 25]
= π/288[250/3 - 128/3]
= π/288[122/3] = 61π/432 </span>
