Answer:
See below
Step-by-step explanation:
Circle equation standard form
(x-h)^2 + ( y-k)^2 = r^2 h, k is the center
All are centered at 0,0
radii are sqrt(225) = 15 sqrt 49 = 7 and sqrt 178
5y + 3 > -7 + 13
First add -7 + 13 = 6
5y + 3 > 6
Subtract 3 from both sides
5y + 3 -3 > 6 - 3
5y > 3
Divide both sides by 5
5y/5 > 3/5
y > 3/5
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )b ) f ` ( x ) =
=
( 2 x³ - 16 x ) / √(x^4 - 16 x²)c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34
Answer:
1.54 in²
Step-by-step explanation:
Given that,
→ Radius (r) = 0.7 in
Formula we use,
→ πr²
The area of the circle will be,
→ πr²
→ (22/7) × 0.7 × 0.7
→ (22/7) × 0.49
→ [ 1.54 in² ]
Hence, area of circle is 1.54 in².
