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Let the function : (0,π)→ℝ be defined by (θ) = (sinθ+cosθ)2 + (sinθ−cosθ)4 
Suppose the function f has a local minimum at θ precisely when θ ∈ {λ1π,…, λrπ}, where 0 < λ1 < ⋯ < λr < 1. Then the value of λ1 + ⋯ + λr is _____ 
    Correct answer is '0.50'. Can you explain this answer?
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    Let the function : (0,π)→ be defined by(θ) = (sinθ...
    f(θ) = (sinθ + cosθ)2 + (sinθ - cosθ)4
     
     
    f(θ) = sin22θ - sin2θ + 2
    f'(θ) = 2(sin2θ).(2cos2θ) - 2cos2θ 
    = 2cos2θ(2sin2θ - 1) 
    critical points 
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    Community Answer
    Let the function : (0,π)→ be defined by(θ) = (sinθ...
    X) -> x^2 be denoted by f(x).

    f(x) means the value of x^2, where x is a real number. The function f(x) takes any real number x as input and outputs the square of that number.

    For example, if x = 2, then f(2) = 2^2 = 4. Similarly, if x = -3, then f(-3) = (-3)^2 = 9.

    This function represents a parabola that opens upwards, with the vertex at the origin (0,0). The graph of this function is a curve that increases as x moves away from the origin in either direction.
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    Let the function : (0,π)→ be defined by(θ) = (sinθ+cosθ)2 + (sinθ−cosθ)4Suppose the function fhas a local minimum at θprecisely when θ∈{λ1π,…, λrπ}, where 0 < λ1 < < λr< 1. Then the value of λ1 + + λris _____Correct answer is '0.50'. Can you explain this answer?
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    Let the function : (0,π)→ be defined by(θ) = (sinθ+cosθ)2 + (sinθ−cosθ)4Suppose the function fhas a local minimum at θprecisely when θ∈{λ1π,…, λrπ}, where 0 < λ1 < < λr< 1. Then the value of λ1 + + λris _____Correct answer is '0.50'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let the function : (0,π)→ be defined by(θ) = (sinθ+cosθ)2 + (sinθ−cosθ)4Suppose the function fhas a local minimum at θprecisely when θ∈{λ1π,…, λrπ}, where 0 < λ1 < < λr< 1. Then the value of λ1 + + λris _____Correct answer is '0.50'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let the function : (0,π)→ be defined by(θ) = (sinθ+cosθ)2 + (sinθ−cosθ)4Suppose the function fhas a local minimum at θprecisely when θ∈{λ1π,…, λrπ}, where 0 < λ1 < < λr< 1. Then the value of λ1 + + λris _____Correct answer is '0.50'. Can you explain this answer?.
    Solutions for Let the function : (0,π)→ be defined by(θ) = (sinθ+cosθ)2 + (sinθ−cosθ)4Suppose the function fhas a local minimum at θprecisely when θ∈{λ1π,…, λrπ}, where 0 < λ1 < < λr< 1. Then the value of λ1 + + λris _____Correct answer is '0.50'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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