Answer:
answer is 7
Step-by-step explanation:
We are given a piecewise function which has a split at x=0
f(x) =
To find the limit, we have to find here left hand limit and right hand limit separately.
Here left hand limit for x tending to 0 is
limit of as x tends to 0
= 7-0 = 7
Right limit = limit of 10x+7 as x tends to 0
=10(0)+7 = 7
Since right hand limit = left hand limit we have
there exists a limit for x=0 and the limit is 7
The surface area of cylinder is 8.625
, if the cylinder has 5 centimeters high and 1.5 cm of diameter.
Step-by-step explanation:
The given is,
Cylinder has a 5 centimeters height
Diameter of the cylinder is 1.5 centimeters
Step:1
Formula for the surface area of cylinder is,
......................................(1)
Where,
h - Height of cylinder
r - Radius of cylinder
From the values of h and r,
=
r = 0.75 cm
From the formula,
= ( 2 × × 0.75 × 5 ) + ( 2 ×
×
)
= ( 7.5 ) + ( 1.125
)
A = 8.625
Result:
The surface area of cylinder is 8.625
, if the cylinder has 5 centimeters high and 1.5 cm of diameter.
Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows
From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes
Factorize
3ⁿ * 5
5(3ⁿ)
<em>The expression can not be further simplified.</em>
<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>