Which of the following is the local maximum value of the function y=(sinx +3) in the interval (0;pi)? A) 9 B) 12 C) 1 D) 4 E) 7

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A: Given: a=49, b=47, c=12.

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Q: i) um asinx-sin2z ,u fünute, fünd the vaue the uimit. tana ofa and

A: Now, the limit is finite given so, the above must be 00form So,  a cos0-2cos0=0⇒a-2=0⇒a=2

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Q: التاريخ اليوم موضوع الدرس A) Discuss the conrergence of facx) %3D on A = Co,0)

A: Convergence of the sequence

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Q: If y= tan x, prove that y 2(y² +1)(3y² +1).

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A: Explained below

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A: We know, sin z = sin x cosh y + i cos x sinh y, Where, cosh and sinh are hyperbolic functions.

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A: The Solution is given below-

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.