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show that cos^6 x+sin^6 x=(1/8)(5+3cos4x) |
hello solve it in ]−π;π] and place solutions in trigonometric circle. cos^6 x+sin^6 x=(3/8)((√3)sin4x+(8/3)) please help me... |
Find the maximum area of an isosceles triangle inscribed in an ellipse (x^2 /a^2 ) + (y^2 /b^2 ) = 1with its vetrex at one end of the major axis ? ? |
prove that ∫_0 ^(π/2) ln(sinx)dx=−(π/2)ln2 |
help me |
prove that (ann(I),+,.) identical in (R,+,.)? |
prove that (C(I),+,.) identical in (R,+,.)? |
are this (cent(R),+,.)identical in the ring (R,+,.) ? pleas sir are you can help me? |
give ∫_0 ^(π/2) (x^2 /(1−cosx))dx at form of serie. |
give ∫_0 ^(π/2) (x/(sinx))dx at form of serie. |
Given that a∈Z and k∈Z and [a+x] = a +[x] = k a) show that k−a≤ x≤ k−a +1 b) Deduce from (a)) that [x+a] = [x] +a |
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solve the inequality ln(x^2 −4e^2 )< 1 + ln3x |
find the set of values of x for which ((ln x + 2)/(lnx−2)) > ((1−lnx)/(1+lnx)) |
prove that if [((x + 1)/x)] = 0 then x ≤ −1 |
how do i sketch the curve y = x−[x] ,for 0≤x<6 |
solve the inequality a. ln(2x−e) >1 b. (lnx)^2 −lnx−6<0 c. ∣x∣ + ∣x+2∣ ≥ 2 d. ∣2x−5∣ + ∣x +2∣ > 7 |
solve for x the following a. ∣x∣ + 3x −4 =0 b. ∣x∣−1 = 0 c. x^2 +3∣x∣ +2 =0 |
Evaluate a. lim_(x→∞) (((x^2 +3)/(27x^2 −1)))^(1/3) b. lim_(x→−∞) ((x−2)/(√(x^2 +1))) c. lim_(x→∞) ((x^2 +2)/(2x−3)) d. lim_(x→∞) 2x + 1 − (√(4x^2 +5)) |
consider the function f(x) = { ((1+2x^2 , if x is rational)),((1 + x^4 , if x is irrational)) :} Use the sandwich(pinchin) theorem to prove that lim_(x→0) f(x) = 1. |
Evaluate lim_(x→−∞) [(√(1−xe^x )) ] |
Pg 1309 Pg 1310 Pg 1311 Pg 1312 Pg 1313 Pg 1314 Pg 1315 Pg 1316 Pg 1317 Pg 1318 |