Answer:
N= -2
Step-by-step explanation:
Answer:
The Consecutive number are 46 , 47 and 48 having sum as 141
The smallest number is 46
Step-by-step explanation:
• A consecutive numbers means number are in a sequence and are one after the another !
e.g. n , (n+1). Or 1 , 2 are consecutive numbers
• A consecutive even numbers differ by 2 because all even numbers are divisible by 2 !
• If the number is divisible by x we must had taken number as n , ( n + x ) ,
( n + 2x )
• Let the numbers be ( n - 1 ) , n and
( n + 1 )
Given ,the sum of numbers is 141
n - 1 + n + n + 1 = 141
3n = 141
n = 141/3
n = 47
So, the numbers are
n- 1 = 47 - 1 = 46
n = 47
n + 1 = 48
And , the smallest number is 46
• Verification :-
46 + 48 + 47 = 141
Which satisfies the given condition !!
Hence , verified !!
Answer:
y=t−1+ce
−t
where t=tanx.
Given, cos
2
x
dx
dy
+y=tanx
⇒
dx
dy
+ysec
2
x=tanxsec
2
x ....(1)
Here P=sec
2
x⇒∫PdP=∫sec
2
xdx=tanx
∴I.F.=e
tanx
Multiplying (1) by I.F. we get
e
tanx
dx
dy
+e
tanx
ysec
2
x=e
tanx
tanxsec
2
x
Integrating both sides, we get
ye
tanx
=∫e
tanx
.tanxsec
2
xdx
Put tanx=t⇒sec
2
xdx=dt
∴ye
t
=∫te
t
dt=e
t
(t−1)+c
⇒y=t−1+ce
−t
where t=tanx
Average speed of cyclist = x
average speed of car = 3x
x = 225/5
x = 45km/h
3x = 3(45)
3x = 135km/h
average speed of cyclist = 45km/h
average speed of car = 135km/h
Multiply the coefficients and the powers of 10 with each other:
The numeric part simply yields
As for the powers of 10, you have to add the exponents, using the rule
So, we have
So, the final answer is
