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What is the common factor of 42 and 84
1=-20 log k value of k
a. Compute the 95% confidence interval around the μ for Pullman residents
Find the length of the curve y=ln[(e^x -1)/(e^x+1)] from x=1 to x=2.
Let G be a group, H∆ G and H
β ≤ G . Let } A = x{ ∈G | Hx∈β . Show that
i) A ≤ G , ii) H∆ A , iii) H
β = A .
Directions: show the steps that leads to the answers

For each problem, determine the values of x such that 0 ≤ x < 2π that satisfy equation.

(1) Solve sin x cos x = 0. (Answers: x = 0, π/2, π, 3π/2)

(2) Solve 2 sin2 x − sin x − 1 = 0. (Answers: x = π/2, 7π/6, 11π/6)

(3) Solve cos x + cos 2x = 0. (Answers: x =π/3, π, 5π/3)

(4) Solve 2 cos x + sec x = 3. (Answers: x = 0, π/3, 5π/3)

(5) Solve sec x − 1 = tan x. (Answer: x = 0)
trace the curve x(y2+4)=8. stating all the points used while doing so
Trace the curve x=a(@-Sin@), y=a(1-Cos@).State the properties used for tracing it.
You require 20 gel-ink pens. STORE XXX sells these pens at R 9.50 each, while store YYY sells them at
R 10.00 each, but have a 6% sale on all items. Further, store WWW sells these pens at R 19.00 each with a buy one get one free special. Finally, store MMM sells the pens at R 14.50 each with a third off the total price.

Which store offers the best deal? Show all calculations
1/4 x+ 3/8 y= -1
x+y=0
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