Directions: Please write your solution on the space provided and boxed your final answe *The Extreme Value Theorem Directions : Find the extrema of the following fuctions on the given interval. Determine the value of x at which the extrema occur. 1) f( x) = -3x# + 4x + 3 - 6x on 2) f(x) = - cos x on 1-1, 1 )

Q: Consider the function f (x) = x + cos x a) Find the x-value(s) (if any) for which f(x) has local…

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Q: 11) Find the equation of the tangent line for h(x)=x²-4 at the point, (1,-3)

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A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

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Q: 2+cost Use IVT to show that g(t) = [0.7]. takes on the value 2.5 in the interval 1+ sin t

A: By using IVT we have to show that g(t) takes on the value 2.5 in the given interval.

Q: B/Using Lagrange concept, find the stationary points of the function V=x2+y2+z subject to the…

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Q: What is the slope of the line tangent to the cardioid in Example 2 at the point corresponding to θ =…

A: The equation of the cardioid is r=1+sinθ.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 3)Option C is correct answer  4)Option A is correct answer  Explanation:

Q: Sketch the domain of the function f(x, y) = lnty-1 + /1-x² - y² + sin(xy).

A: Domain: The domain of the real valued function is the set of all the values for which the function…

Q: 01/Find the domain and range for the folowing functions:

A: Domain is the set of possible input values and Range is the set of possible output values.

Q: 4.) f(x)=sinx+cosx on (0,27)

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Q: Let f(x)= + 0.5 sin be defined on [0, 2 1]. Then, the value of Kin the fixed point theorem equals…

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Q: V312 f(V1- x2) VI - x2 Let f be any smooth function. Then dx is equal to 元/6 f(cos 0) do cos 0 f…

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Q: Let F(x) be an antiderivative of the function sin“ x cosº F(n/2) – F(0). e2 In z Let F(x) be an…

A: This question is based on integration.

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A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: Column I Column II xdx + ydy (p) (A) xdy - ydx n2r- y= cos's, where ja 0is (s) y= 2 (1- tanx)

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Q: 5. Find the extrema and the coordinates of the points of inflection for the graph of f (x) = sin?x –…

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Q: of of and da For the function f(t,a) = sin (8rt + 7a), find %3D - at

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Q: Consider the function f(x) = cos¯'. a State the domain of f(x). (Hint: Think about it rather than…

A: AS PER BARTLEBY GUIDELINES, EXPERTS ARE ALLOWED TO ANSWER ONLY 3 SUB PARTS OF A QUESTION. KINDLY…

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Q: Let f(x, y) = sin(x + y). Level curve at k € ran(f) = [−1, 1]: {(x, y) | sin(x + y) = k} = {(x, y) |…

A: Note: We know that domain of sin(x) is all real numbers and range is [-1, 1]. Also the slope of the…

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A: Given: fx=sin2x+1; x∈0, π

Q: PLEASE ANSWER THE QUESTION ACCORDING TO INTERVAL NOTATION. AND PLEASE WRITE THE ANSWERS AT THE END…

A: a) (−23pi​,−2pi​)b) (0,0)c) (0.57,0.07904)d) (−6.18,−pi)∪(0,0.57).Explanation:a. Given the function…