9 years * 5% = 45%
300,000 * 45 = 13,500,000
13,500,000 / 100 = 135,000 people
300,000 + 135,000 = 435,000 people after 9 years
Answer:
x < 2
Step-by-step explanation:
< means less than
x < 2
Answer:
what to do below
Step-by-step explanation:
So the 5/4x is your slope and -1 is your y intercept which means you would start at (0,-1)
then you would start your slope.
since it's 5/4 you could go up 5 and to the right 4 which is commonly known as rise/run.
good luck!
Answer:
(1) e2x [ (2x -1 )cot x – x cosec2x]/x2
(2) e2x [ (2x +1 )cot x – cosec2x]/x2
(3) e2x [ (2x -1 )cot x + cosec2x]/x2
(4) none of these
Solution:
Given y = e2x cos x /x sin x
Differentiate w.r.t.x
Use quotient rule
dy/dx = [x sin x (d/dx)e2x cos x – e2x cos x (d/dx) x sin x]/ (x sin x)2
= [x sin x (e2x ×2× cos x – e2x sin x ) – e2x cos x ( sin x+ x cos x)]/ (x sin x)2
= [ x 2 sin x cos x e2x – e2x x sin2 x – e2x cos x sin x – e2x x cos2 x]/ (x sin x)2
= [ x sin 2x e2x – x e2x(sin2x+cos2x) – e2x sin x cos x]/(x sin x)2
= [ x e2x sin 2x – x e2x – e2x sin x cos x]/(x sin x)2
= [ 2x e2x cot x – x e2x cosec2 x – e2x cot x]/x2
= e2x [ 2x cot x – x cosec2 x – cot x]/x2
= e2x [ (2x -1 )cot x – x cosec2x]/x2
Hence option (1) is the answer
