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Q) Number of solution of equation √3 cos2𝜃+8cos𝜃+3√3=0in 𝜃∈[−3𝜋,2𝜋]

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Q) Given 1/𝛼−1/𝛽=1/3 such that roots of the quadratic equation 𝜆x^2+(𝜆+1)x+3=0 are 𝛼&𝛽, the

The absolute maximum value of function

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Q) Let 𝑓(𝑥) is twice differentiable function on R such that 𝑓(3)=18,𝑓^′ (3)=0 and 𝑓^′′ (3)=4

The integrating factor of differential equation

Q) Let 𝑓(𝑥) is twice differentiable function on R such that 𝑓(3)=18,𝑓^′ (3)=0 and 𝑓^′′ (3)=4