Puestion: 3 1-2mx Consider the function f(x)={ 1-3x :1- -3+kr :2< ind the value of kand m, if the function f(x) is

Q: ntinuous function, f (x), has a domain of [-6, 6] -6 <x<-2 x=-2 -2 <x< 0 x=0 0 < x<6 does not exist…

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Q: Find the absolute extrema of the function given the interval: f(x) = (x+1)^2/3 ; [-2,1]

A: To find: The absolute extrema of the function in the interval . Formula used: Power rule of…

Q: ind the absolute extrema given the interval a.) f(x)=4-3x ; (-1,2] b.) f(x)= 1/x ; [2,3)

A: The absolute extrema is a point which has maximum or minimum value over a particular domain…

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Q: Translations of graphs: What is the relationship between the graphs of the functions y = f(x) and y…

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Q: Find local and absolute extrema of the function on the given interval. а. f(x) 3 Зx2 — 12х — 5,…

A: We will use second derivative test and endpoints to find required extremas

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Q: concavity oF the Function f(x)=5inx t 4 Desoribe the

A: Given that,f(x)=sin3xLet f(x)= y Therefore,y= sin3x

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A: Consider (2x-5). 2x-5=-3⇒x=-3+52=22=12x-5=3⇒x=3+52=82=4 As f(x) is increasing on [-3,3]  ⇒f(2x-5) is…

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Q: Find the maximum and minimum values of the function f (x) In(x) on the interval [1,4]. The minimum…

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Q: Find the local extreme values ​​(Maximum, Minimum and Saddle Points) of the function f (x, y) = eX…

A: Let f(x,y) be any function of two independent variables x and y supposed to be continuous for all…

Q: (25 points) Find the extreme values of the function f on the interval [2.5, 4]. If an extreme value…

A: An absolute maximum point is a point where the function obtains its greatest possible value.…

Q: Find differentiable functions f and g that satisfy the specified condition such that xlim5 f(x) = 0…

A: Given: f(x) and g(x) which is differentiable and satisfy  limx→5 f(x)=0   and  limx→5 g(x)=0

Q: 3x+2y (8) Show that the function f(x,y) = is continuous at (4,-2). x+y+1

A: In question we have to show that function is continuous.

Q: 1. Find the absolute extreme points {x-cord., y-cord.), max the given interval, f(x)=x' - 3x² – 4…

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Q: a continuity of the function esinx (x,y) # (₂) X (X,Y)= (0,0) Discussion Sexiy) at the Point (0,0),…

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Q: 6-X Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: 1. Find the exact' maximum value and exact minimum value of the function on the given interval.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: ach of Exercises 19–24 gives a formula for a function y ach case, find ƒ¯'(x) and identify the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Functions Point f(x) = Vx - 4 (8, 2) f-1(x) = x2 + 4, x20 (2, 8) (a) Find the domains of fand f1.…

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Q: Tance of X Q5:Let X has the following PMF. 3-x f(x) = ,X = 0,1,2,2.6. ,zero otherwise %3D Find a-…

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Q: Stock prices are at their peak. Here f is the stock price. Then O f'(x) > 0, ƒ''(x) = 0 O f'(x) > 0,…

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Q: Describe all functions y=f(x) which are defined for all x∈R and satisfy the equation f(x)= 1/f(x)

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Q: f(x) = x +- (a) Find the intervals on which f is increasing or decreasing. (b) Find the relative…

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Q: i) Find the critical numbers ii) Find the interval on which the function f is increasing or…

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Q: concave up and down of f(x) on the given interval. f(x) = x³ – 3x² - 24, [-4,4].

A: Consider the given function fx=x3-3x2-24,          -4, 4 The maximum or minimum of any function…

Q: Evaluating a Suppose that the function f is defined on the interval-2, 2) as follows. -2 if -2<x<-1…

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Q: . Mean Value Theorem For the function f(x) = VI0x and the in- terval [a, b] = [0, 10], use the graph…

A: Given:              f(x)=10x On the interval :                 [a, b]=[0, 10]   To determine:…

Q: Consider the function f (x) = x³ -12x^2 + 36x = x (x-6)^2 to answer the following questions.   1.…

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Q: Juestion 16 fis the function defined by f (T) = 3x - 5z, what are all the x-coordinates of points of…

A: Given  f(x) = 3x5 - 5x4 firstly we find the critical point for this differentiate the function…

Q: nction f (x) = x(Va – 1), where a > 0, x > 0. ther f is an indeterminate form. If yes, write its…

A: We have to find the conditions according to the given information

Q: За? — 6х + 7 - g(x) x2 + x + 1

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Q: 1 - 32? + 2x Let f(x) r2 - x - 6 Find: 1) Domain (in interval notation) 2) Y-intercept(s) at the…

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Q: real analysis show all work/steps please If f: [0,3]→R is continuous, must its range be a closed…

A: It can be solved sing some important theorems of real analysis

Q: Second-order condition for convexity. Prove that a twice differentiable function f is convex if and…

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Q: graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the…

A: Given query is to find the equation of the transformed graph.

Q: 2. True or False? Explain your reasoning. You do not need a proof. 1 Let g(x) By the MVT, there is a…

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Q: True or False (Mean Value Theorem): For the function f(x) = ÷+ V on the interval (0,9]. If f' (c) =…

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Q: Directiona: rolve the pollowing. 4) Given by flx) = x² +x² and glx) = 2dx; what is f'(x)-g(x) ? %3D

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Q: The Second Derivative Test: Given the function g(x) 8x3 + 36x? + 48x A) Find the first derivative,…

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Q: X- a, =} 4, (bx +1, X -3

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Q: (a) Show that y = x*, xER, is an even function. (b) Show that y = x3, xER, is an odd function. (a) A…

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Q: real analysis Use Sequential Criterion Let f be defined by f(q)=3q for q rational and f(t)=t2 for…

A: Given function is fq=3q for q is rational and ft=t2 for t is irrational. The overall function can be…

Q: 6-x Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Pregunta 4 The function f(x) x3 + 6x2 - 9x - 1, then : = - (A) f(x) has a local minimum at x = (B)…

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Q: (Real analysis) Prove that the following function is differentiable on R f(x) = { S2², x > 0 0, x

A: Given- fx=x2, x&gt;00 , x≤0 To Prove- That the above function is differentiable on R.

Q: Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function and…

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Q: Use a graphing utility to graph the function and find the absolute extrema of the function on the…

A: solve the following