Answer:
Investment is a source of Income.
<h3>OR</h3>
Self Employment Income
Answer:
a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Step-by-step explanation:
for the equation
(1 + x⁴) dy + x*(1 + 4y²) dx = 0
(1 + x⁴) dy = - x*(1 + 4y²) dx
[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx
∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx
now to solve each integral
I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁
I₂= ∫[-x/(1 + x⁴)] dx
for u= x² → du=x*dx
I₂= ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ = - tan⁻¹ (x²) +C₂
then
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C
for y(x=1) = 0
1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C
since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for π*N , we will choose for simplicity N=0 . hen an explicit solution would be
1/2 * 0 = - π/4 + C
C= π/4
therefore
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Answer:
D. Open the compass so that the distance from the two points of the compass is wider than half the length of 
.
Step-by-step explanation:
To construct a perpendicular for , we must first take a compass & take the distance of its arms wider than half the length of .
This is done in order to get two intersecting arcs in the top & bottom of so that a perpendicular bisector can be drawn through it.
After two intersecting lines are drawn below & above , draw a line joining these 2 points through their points of intersection. The point where it intersects is the middle-most point of & now a perpendicular bisector of is constructed.
Y=1x+2 (you don’t have to write the 1 in front of the x so you can write it as y=x+1)
Answer:
See step by step explanation
Step-by-step explanation:
1. a<14
2. m </ 25
3. n >/ 7
