Y = sin x
y' = cos x
y'' = -sin x
y''' = -cos x
y'''' = sin x
Therefore, nth derivative of sin x = sin(nπ/2 + x)
Answer:
x = ± 10
Step-by-step explanation:
To solve the equation let y = 0 , that is
0 = 100 - x²( add x² to both sides )
x² = 100 (I take the square root of both sides )
x = ±
= ± 10
Then solution is x = - 10, x = 10
I think the answer will b
Answer:
Step-by-step explanation:
The general formula for continuous exponential growth is A=A0•ert, where A0 is the initial amount, t is the elapsed time, and r is the rate of growth or decay. For this problem, r=0.005, so the formula is A=A0•e0.005t.
Since we want to know how long it takes of the amount to be 275% of the original amount, we can state that A=2.75A0. Substituting that into our formula gives us 2.75A0=A0•e0.005t. Dividing by A0 yields 2.75=e0.005t.
At this point we need to take the natural logarithm of both sides:
ln(2.75)=ln(e0005t)
ln(2.75)=0.005t
t=ln(2.75)/0.005, which is approximately equal to 202.3
We round up to 203 years.
Step-by-step explanation:
area of circle = πr²
radius ² = 9.15 = 83.72 (approx.)
now,
→ 22/7 × 83.72
→ 22 × 11.96 = 263.02 m²
therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².
hope this answer helps you dear..take care and may u have a great day ahead!