1. Locate the absolute extrema of the function f (x)= sin x-cosx on the closed interval [0,7]. Write answers as ordered pairs

Q: Where are the functions f1(x) = ∣sin x∣ and f2(x) = sin ∣x∣ differentiable?

A: We graph f1(x) = ∣sin x∣  using a graphing calculator. We see that, at x=nπ, there are cusps.…

Q: find the absolute extrema of the function on the closed interval. g(x) = 2x + 5 cos x, [0, 2pie]

A: Here the given equation is g(x) = 2x + 5 cos x, [0, 2π] First we have to find the first derivative…

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: For a given function f(x) the critical point are the value of x at which the derivative of f(X)…

Q: 4. How many fixed points does the function T(x) = tan(x) have? %3D

A: for fixed point f(x) = x x = tan(x)

Q: If f (x) = cos(3x), then f' (-) is equal to

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Q: 1 Find f"(x) for the function f(x) %3D (2+sin x)=

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Q: Match the function with its graph. 1) y = sin 3x 3) y = 3 sin x 2) y = 3 cos x 4) y = cos 3x A) B)…

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Q: What are the domain and range of functions? a) f(x) = cos^(-1) (In(tan x)) b) y= In( (x+1)/(x^(3)+1)…

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Q: what is the absolute extrema point(s) of f(x) = e1-cosx on [ -pi/2 , pi ], if there are any?

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Q: Determine the points in the interval (0, 2π) at which the graph of the function below has a…

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = 2 sin x…

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Q: what values of x is f(x) = 2 tan(x + π/6) discontinuous?

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Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin ,…

A: Given  f(x) = sin x4,   0, 8π We have to find the point of inflection and the concavity of the graph…

Q: Find the absolute extrema of the function on the closed interval.                          y = tan…

A: Given function is y=tanx8.

Q: Determine values of a and b that make the given function continuous: if x 3

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Q: Find the absolute extrema of the function on the closed interval. Function:        Interval: y=9…

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Q: Find the absolute extrema of the function on the closed interval.

A: The local extrema of a function can be obtained by equating the first derivative of the function to…

Q: Is the function f(x)=sin(3x)+cos(tan x) even, odd, or neither? Why?

A: Recall: A function f(x) is even if  f(x) =f(-x). A function f(x) is odd if f(x)=-f(-x)

Q: 4. How many fixed points does the function T(x) tan(x) have? %3D

A: As per our guidelines, we suppose to answer only one question. Here question 4) is answared.

Q: 1 Estimate the error if P3(x) = x - x³/6 is used to approximate the value of sin x at x = 0.1.

A: We have to find the error.

Q: Find the absolute extrema of the function on the closed interval. y = 9 cos x,    [0, 2?]

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Q: 4. For what values of x does the graph of f have a horizontal tangent if f(x) = V3 x – 2 sin(x).

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Q: Find the absolute extrema of the function on the closed interval.

A: The given function is y=tanπx8    on  0, 2. Compute the critical points as follows.…

Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin…

A: Given f(x)=sinx4         , 0, 8π

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: 5. If f(x) = (sinx)² and g(x) = 1+ (cosx)², Then What is the relation between f' (x) and g' (x)?…

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Q: Find all values of 0 in the interval [0°,360°) that have the given function value. tan 0= 3

A: Given, tan theta= sqrt(3)/3= sqrt(3)/(sqrt(3)×sqrt(3)) tan theta= 1/sqrt(3) [0°,360°)

Q: Use the Intermediate Value Theorem to show that in the interval [0,1] the equation below has a…

A: Given that: sinx=2x-1

Q: Find f'(x) for f(x) = sin?x · tan (x² – 3x + 1)5).

A: We will find the derivative.

Q: Find f(x), where f'(x) = sin(x) + cos(x) +1 and f(7) = 2.

A: Given: f'(x)=sin(x)+cos(x)+1 and f(π)=2

Q: Solve the equation for x, where x is restricted to the given interval. y = 3 tan (2x - 1), for x in…

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Q: -he deriva tive of the function y= tan'( 3x+1) when X-0: %3D

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Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin…

A: Given- fx=sinx4,0,8...........(1) As we know that inflection point is a point on the graph at which…

Q: Find the local extrema of the function f(x)=x+cos2x.

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Use the Intermediate Value Theorem to show that f(x) = 2+ sin r 3 tan x has a | (0. ). solution in…

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Q: If f (x) = - cos(x), then f (0)(x) is equal to A - sin(x) B - cos(x) В © sin(x) D cos(x)

A: We have to differentiate the given function 9 times

Q: What is the domain of the function: f(x) = 1/(1 - 2 cos x)?

A: Given,

Q: (5) Find the local extreme values of the function h(x) = sin?x – V2 . sinx + 2/2 on the interval (0,…

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Q: Find the extremum points for the following functions if they exis f(x) = 3x² + 2 cos(x),

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Q: The function f(x) sin x + cos x is an even function. True False

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Q: Find the absolute maximum of the function. fAx) = sin(6x) + cos(6x) on the interval 0. 18 %3D

A: Given: f(x)=sin(6x)+cos(6x) Differentiae the function.…

Q: consider the function f(x) = sin2 (x) − sin(x), 0 ≤ x ≤ 2π   Use the intervals of increase and…

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Q: Find the relative extrema of f(x) = 1/2x − sin x in the interval (0, 2pie ).

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

Q: The least value that the function F(x) sin x may have is -1 1

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Q: Use the closed interval method to find the absolute maximum and absolute minimum of f(x)= 2 cos x+…

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Q: Find the derivative of

A: Given,

Q: Find the function f(x) if f'(x) = 2 cos x + 3 sin x and f(0) = 4

A: We have