intervals mathematics

For 99% confidence interval, when t ∝ /2 is 2.878, which of the following could be the sample size? => 19 or 9 or 100 or 18..

n = 50 and a p ˆ interval from 0.40 to 0.75. Use the continuity correction to convert this to an x interval. => 0.39 to 0.76 or 0.40 to 0.75 or 0.41 to 0.74 or 0.41 to 0.76..

A function f(x) is said to be continuous in an interval I, if it is continuous at each point of I. then x can approach c both from the left and the right and so for f (x) to be continuous at c, we must have If the interval I is the closed interval [a,b], then x cannot ..

Select the statement that explains why the mean value theorem does not apply to the function f ( x ) = tan x in the interval [0, π ]. => tan x is continuous in [0, π ]. or tan x is not continuous in [0, π ]. or tan x is not differentiable in (0, π ). or both B & C..

Find the solution to the trigonometric equation 16sin 2 θ + 8sin θ - 8 = 0 in the interval [0, 2 π ). => 3 π 2 , π 6 , 5 π 6 or 3 π 2 , π 6 or 3 π 3 , π 3 , 5 π 6 or π 6 , 5 π 6..

State the sign of sin θ and cos θ for values of θ in the given interval (0, π 2 ). => +, + or +, - or -, - or -, +..

Convert the inequality - 3 ≤ x < 6 to interval notation. => [3, 6) or (3, 6) or (- 3, 6) or [- 3, 6)..

Convert the inequality - 4 ≤ x < 8 to interval notation. => (4, 8) or (- 4, 8) or [4, 8) or [- 4, 8)..

Find the volume of a equilateral triangular prism with base 2 units, lies on the x -axis along the interval [0, 6]. => 1 3 or 3 3 or 3 or 1 2 3 or 2 3..

State the sign of tan t and sin t for values of t in the interval ( 3π 2 , 2 π ). => +, + or -, + or +, - or - , -..