73-76 - Maxima and Minima Find the maximum and mini- mum values of the function. 73. y = sin x + sin 2.x 74. y = x - 2 sin x, 0sxs 2T 75. y = 2 sin x + sin'x cos x 76. y = 2 + sin x
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- a. Locate the critical points of ƒ.b. Use the First Derivative Test to locate the local maximum and minimumvalues.c. Identify the absolute maximum and minimum values of the functionon the given interval (when they exist). ƒ(x) = x - 2 tan-1 x on [-√3, √3]The points of inflections and the local maximum and minimum values of the function y=2sinx + sin2x in the domain of [0,2π].Find the locations of the absolute extrema of the function on the given interval. f(x)=43x3−x2−12x+7; [0,3] The absolute minimum occurs at x= The absolute maximum occurs at x=
- A particle of unit mass moves on a straight line under the action of a force which is a function f(v) of the velocity v of the particle, but the form of this function is not known. A motion is observed, and the distance x covered in time t is found to be connected with t by the formula x = at + bt2 + ct3 where a, b, and c have numerical values determined by observation of the motion. Find the function f(v) for the range of v covered by the experiment.Q1: Find the absolute maximum value and absolute minimum value of the function F(X)=sinX+cosx on the interval [0, 2pi]. Q2:Find all critical points of the function f(x)=(3x)/[(x^2)+9] Final answers should be ordered pairs. Q3:Verify the third hypothesis of Rolle’s Theorem for the function on the interval f(x)=x^2[SQRT(25-X)] on the interval [0, 25] then find all values of c guaranteed by Rolle’sTheorem.Fast pls solve this question correctly in 5 min pls I will give u like for sure Sini 10-15 Find the absolute maximum and absolute minimum of f on the given interval 10. f(x)=3x^(2)-12x+5,[0,3] 11. f(x)=x^(3)-3x+1,[0,3] 12. f(x)=x-2tan^(-1)x,[0,4] 13. f(x)=ln(x^(2)+x+1),[-1,1] 14. f(x)=xe^((x)/(2)),[-3,1] 15. f(x)=x^(-2)lnx,[(1)/(2),4]
- use Newton’s Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility and compare the results. 9. f(x)=x^3 +x -1 15. f(x)= 1- x + sinxWhat values of a and b make f(x)=x^3+ax^2+bx have Part 1 a. For a local maximum at x=−3 and a local minimum at x=7, a= ______ and b=_______. Part 2 b. For a local minimum at x=8 and a point of inflection at x=2, a= _______ and b= ______.Let f(x)=cosx. Determine the x-value(s) where the function has a maximum or minimum value on [0,2π). What is x-value(s) occur(s) on [0,2π), the minimum value(s) of the function?
- a. Locate the critical points of ƒ.b. Use the First Derivative Test to locate the local maximum and minimum values.c. Identify the absolute maximum and minimum values of the functionon the given interval (when they exist). ƒ(x) = -x3 + 9x on ⌊-4, 3⌋Use Newton’s method with initial approximation x1 = -1 to find x2 , the second approximation to the root of the equation x3 + x + 3 = 0Explain how the methodworks by first graphing the function and its tangent line at ( -1 , 1)The function f (x) = (ln x)>x has a relative extreme point for some x 7 0. Find the point and determine whether it is a relative maximum or a relative minimum point.