Answer:
Linear
Step-by-step explanation:
It increases by a steady rate, so it is linear.
Answer:
C) Izzy
Step-by-step explanation:
Justin typed 90 words in 2 minute:
work
405/9=45 words a minute
45*2=90
Remmy typed 84 words in 2 minute:
work
420/10=42 words a minute
42*2=84
Izzy typed 98 words in 2 minutes:
work
588/12= 49 words a minute
49*2 = 98
I hope this helps :)
Answer: 1/10 is greater; niether its equal; 2 1/2, .25, -.2, -1/2, -4/5
Step-by-step explanation:
1/10 is a tenth and .09 is a hunderedth
Answer:
$122.80
Step-by-step explanation:
$62.25 + $60.55 = $122.80
Hope this helps. Please mark brainliest.
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