Increase=5%of 4
=5÷100×4=0.2
So 4+0.2=4.2litres
Answer:6.05cm
Step-by-step explanation:
Circumference=2×π×r
38=2×22/7×r
38×7=2×22×r
266=44r
r=266/44
r=6.05cm
Answer:
All real numbers greater than zero.
Step-by-step explanation:
Any real number greater than zero but lesser than 1 lead to a negative number. When input is 1, the output is zero. Lastly, any real number greater than 1 leads a positive number. Hence, the domain of the natural logartihmic function is the set of all real numbers greater than zero.
2 cot²(<em>t </em>) sin(<em>t </em>) - cot²(<em>t </em>) = 0
cot²(<em>t </em>) (2 sin(<em>t </em>) - 1) = 0
cot²(<em>t </em>) = 0 <u>or</u> 2 sin(<em>t</em> ) - 1 = 0
cot(<em>t</em> ) = 0 <u>or</u> sin(<em>t</em> ) = 1/2
cos(<em>t</em> ) / sin(<em>t</em> ) = 0 <u>or</u> sin(<em>t</em> ) = 1/2
cos(<em>t</em> ) = 0 <u>or</u> sin(<em>t</em> ) = 1/2
[<em>t</em> = cos⁻¹(0) + 2<em>nπ</em> <u>or</u> <em>t</em> = cos⁻¹(0) - <em>π</em> + 2<em>nπ</em>]
<u>or</u> [<em>t</em> = sin⁻¹(1/2) + 2<em>nπ</em> <u>or</u> <em>t</em> = <em>π</em> - sin⁻¹(1/2) + 2<em>nπ</em>]
(where <em>n</em> is any integer)
<em>t</em> = <em>π</em>/2 + 2<em>nπ</em> <u>or</u> <em>t</em> = -<em>π</em>/2 + 2<em>nπ</em> <u>or</u> <em>t</em> = <em>π</em>/6 + 2<em>nπ</em> <u>or</u> <em>t</em> = 5<em>π</em>/6 + 2<em>nπ</em>
Note that the first two families of solutions overlap and can be condensed, so that
<em>t</em> = <em>π</em>/2 + <em>nπ</em> <u>or</u> <em>t</em> = <em>π</em>/6 + 2<em>nπ</em> <u>or</u> <em>t</em> = 5<em>π</em>/6 + 2<em>nπ</em>
