Answer:
ALWAYS
Step-by-step explanation:
Lim ln(3x)=∞ as x->∞
tan^(-1)(∞)=π(k+1/2) where k is an integer.
Therefore
lim 5tan^(-1)(ln(3x))=5(k+1/2)π as x-> ∞ and where k∈Z (i.e. integers)
There are no sharp objects around,same with bleach
Answer:
Let
y=f(x)
so
y=log9x
we know that
applying property of logarithms
y= log9x is equal to
------> equation 1
so
case 1) (-1/81, 2)
x=-1/81
y=2
substitute the value of y in the equation 1 to obtain the value of x
81 is not equal to -1/81-------> the point does not belong to the graph
case 2) (0, 1)
x=0
y=1
substitute the value of y in the equation 1 to obtain the value of x
9 is not equal to 0-------> the point does not belong to the graph
case 3) (1/9, -1)
x=1/9
y=-1
substitute the value of y in the equation 1 to obtain the value of x
1/9 is equal to 1/9-------> the point belongs to the graph
case 4) (3, 243)
x=3
y=243
substitute the value of y in the equation 1 to obtain the value of x
9^{243} is not equal to 3-------> the point does not belong to the graph
case 5) (9, 1)
x=9
y=1
substitute the value of y in the equation 1 to obtain the value of x
9 is equal to 9-------> the point belongs to the graph
case 6) (81, 2)
x=81
y=2
substitute the value of y in the equation 1 to obtain the value of x
81 is equal to 81-------> the point belongs to the graph
Answer:
Step-by-step explanation:
28. Area of the circle = π where r is the radius of the circle.
Given diameter = 14m, therefore radius = = 7m
Now area of the circle = 49 or = 49 * 3.14 * 3.14 = 483.12
29. Volume of cylinder = πh = π* * 3 = 6.75π cu. feet or 21.195 cu. feet
30. A ball resembles a sphere. Volume of the sphere =
Given diameter = 30inches; Therefore, radius = 15 inches
Now, Volume of the ball = = 4500π cu. inches or 14310 cu.inches