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- Evaluate dy/dx at the point (π/2, π/2), if 2 sin^2 x + 1/2 cos y = (3 sin x)^11 . Mention all relevant rules.Show that bothy= sinx and y = cos x satisfy y" = -yIdentify the roots of the integrand to remove absolute values, then evaluate using the Fundamental Theorem of Calculus, Part 2. π/2 ∫ | sin t | dt − π/2
- Prove that the equation sinx = 0.3 has at least one solution in the interval (o, ~).laplace of g(x) = sin21/3x cos3 2/5xExpress f(theta) where f(theta)=cos theta - square root of 3 sin theta in the form Rcos (theta +lambda) where R> 0 and lambda is an acute angle Hence find the max and minimum value of 5/f(theta)+7