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Jul 26, 2022 ... NTA Abhyas 2022: The equation x3+3x2+6x+3-2cosx=0 has n solution(s) in (0,1) , then the value of (n + 2) is equal to. Feb 20, 2024 ... Let Sn(x)=∑nk=0Pk(x), and Un(y)=Sn(2−2y), it is easy to prove that U0(y)=1, U1(y)=1+1−(2−2y)=2y and Un+1(y)=2yUn(y)−Un−1(y). cosx + sinx = √2cosx Dividing both side by cosx ⇒ 1 + tanx = √2 ⇒ tanx = √2 – 1 ⇒ Cotx = 1/(√2 – 1) = (√2 + 1)/(2 – 1) When the polynomial 3x^3 +ax+ b is divided by x−2 , the remainder is 2, and when divided by x +1 , it is 5. Find the value of a and the value of b. ... Answered ... Combining the homogeneous and particular differential equation solutions yields the solution to the linear differential equation. 2cosx is twice the cosine of angle x and lies in the range of [-2 , 2] whereas, cos 2x is the cosine of the angle 2x, two times the angle x and it lies between ... May 18, 2023 ... sin(x)(2cos(x)- 1)=0 if and only if either sin(x)= 0 (so is x is a multiple of π, or 2cos(x)= 0 so at x= π/3+2nπ or x= 5π/6+ 2nπ. Aug 1, 2018 ... The formula for this is: cos(2x) = cos(x)*sin(2x). Upvote ·. 9941. Profile photo for Gaurang · Gaurang. Dec 16, 2024 ... The least value of the function f(x) = 2 cos x + x in the closed interval [0, π/2] is: (a) 2 (b) π/2 + √3 (c) π/2 (d) The least value does not Dec 30, 2017 ... The point of inflection lies between these two extremas and can be found by taking the second derivative of your original function and setting it equal to zero.
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