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  • Please solve rd sharma class 12 Chapter 17 Maxima and Minima excercise 17 point 1 question 4 maths textbook solution

Please solve rd  sharma class 12 Chapter 17 Maxima and Minima  excercise 17.1 question 4  maths textbook solution

Answers (1)

Answer:

Maximum value is 6 and minimum value is 4.

Hint:

f(x) have max value in [a, b] such that f(x) ≤ f(c)  for all x belongs to [a ,b] and if f(x) ≥ f(c)  then f(x) has minimum value.

Given:

f(x)=\sin x+5 \text { on } R

Explanation:

We have,

f(x)=\sin 2 x+5

We know,

\begin{aligned} &-1 \leq \sin x \leq 1 \\ &-1+5 \leq \sin 2 x+5 \leq 1+5 \\ &4 \leq \sin 2 x+5 \leq 6 \end{aligned}

So, the minimum value is 4 and maximum value is 6.

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