x? + 5х-1 3. lim x- 3

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A: The height function of the ball is given by yt = 40t-16t2 To evaluate: An expression for the…

Q: Solve for the root (5 decimal places) of the following equations using: A.) Incremental Search…

A: We are given f(x)=(x-1)2+ ln x2-ex=0 and x0=-0.6 , ∆x=0.1 Step x f(x) 1 -0.6 0.98953 2…

Q: maximum revenue for the revenue function  R(x) = 372x − 0.7x2.  (Round your answer to the nearest…

A: Please refer to the image below

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A: The double derivative test is used to optimize (maximize or minimize) a function. For a right angled…

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A:

Q: Suppose that 489 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: By Bartleby policy I have to solve first 3 subparts.

Q: Graph the functions in excercise

A: Solution:Giveny=9-x

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A: Obtain the inverse of the given function as follows:

Q: Determine the range of the following functions. Express your answers using interval notation y =…

A: The graph of y=3x2, -2≤x≤2 is shown below:

Q: Find the maximum revenue for the revenue function  R(x) = 398x − 0.9x2.

A: Given revenue function R(x) = 398x − 0.9x2

Q: Ex 2. Find the intervals of concavity for f(x)=x – 2.x³. 3

A: Given f(x)=x4-2x3 Differentiating with respect to x, f'(x)=4x3-6x2 Differentiating again with…

Q: (a) Find f'-(4) andf'4(4) for the function if x4 5 - x (b) Sketch the graph of f. (c) Where is f…

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Q: For what values of x does the graph of f (x) =x3 – x² +3 have a horizontal tangent? O 2 O and 2 O O…

A: ⚛ Slope is the rate of change of function which is equal tot he derivative of  that function. ⚛  The…

Q: Given the functionf(x)=(x-1)', find the slope of the line tangent to the graph of fat the point…

A: Given :

Q: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

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Q: For the following functions, use a calculator to graph the function and to estimate the absolute and…

A: The function is y=3x1-x2. Sketch the graph of  y=3x1-x2 and find the absolute and local maxima and…

Q: Find the location of the indicated absolute extremum for the function. Minimum 4 4 3 -1 -2- X = -3 Ó…

A:

Q: How many real roots does the function f(x) = x 9 - 20x + 1 have? Find their approximate locations.

A: The best way to locate the number and nature of real roots will be to plot the equation.

Q: Among the solutions of the 3rd order linear ODE y"-y"+y'-y = 8et, only one function satisfies lim y…

A:

Q: The cost function is given by equation f(x) = 15,000x +1000 Find the horizontal asymptote and…

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Q: Find two explicit functions by solving the equation for y in terms of x, (b) sketch the graph of the…

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

Q: Find the value of x for which the line tangent to the graph of f(x)=7/2x^2−5x+1 is parallel to the…

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Q: A rectangular building with length L, width W and height H has a surface area given by S=2HW+2LW+2LH…

A: Solve the given equation for H as follows.

Q: Ex 4. Find the intervals of concavity and the inflection x² points for f(x) = x +1

A: To find The intervals of concavity and the inflection points of f(x)

Q: For what values of x does the graph of f(x) = x3 + 3x 2 + x + 3 have a horizontal tangent?

A: the given function is: fx=x3+3x2+x+3 we have to determine for what values of x does the graph of…

Q: 4 z = lim f(x) y 1 2 3 4 2.

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Q: Find the fx(x, y) and fy(x,y) of the following function x² – y3 f(x,y) %3D Inxy

A: Given: fx,y=x2-y3lnxy

Q: The length of a rectangular box is to be twice its width, and its volume is to be 24 ft3. The…

A:

Q: For what values of x does the graph of f(x) = x3 + 6x² + x + 4 have a horizontal tangent? X = (Enter…

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Q: If the function of total cost (in dollars) of a company that produces x amount of suitcases per week…

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Q: For what value(s) of x does the graph of f(x)=10x^3 − 90x^2 + 240x +90 have a horizontal tangent?…

A: To find the slope of the tangent we find f'(x)

Q: Find the maximum revenue for the revenue function  R(x) = 372x − 0.7x2.  (Round your answer to the…

A: To find:   maximum revenue for the revenue function    R(x) = 372x − 0.7x2 for maximum revenue , we…

Q: For the following functions, use a calculator to graph the function and to estimate the absolute and…

A:

Q: o find two real numbers whose diff nd whose product is minimum, we ninimum value of the function…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: Who would you algebraically find the two equations for this radical function?

A: The standard form of a the given radical function can be written as follows:

Q: Given the function f, find the slope of the line tangent to the graph of f at the specified point on…

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Q: For which values of x does the graph of  f(x) = 8x3 - 12x2 - 24 have a horizontal tangent? Enter…

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Q: Find the following: 1. x-intercept(s) 2. y-intercept 3. Vertical Asymptote(s) 4. Horizontal…

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Q: Ex 4. Find the intervals of increase or decrease for f(x)=- x² +1

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Q: 52² – 5y? lim (2.)(0,0) 7x2 + 7y

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Q: Find the slope of the line that is tangent to the graph of f(x)=3x²-2 at P(-3, 25). O -3/25 O 27 O…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Vy+ 4 – 3 y – 5 5+L (c) lim y→5 5- (d) lim 1+h h→0 h (4+1)-1

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Q: yA 1 1

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Q: Find the values of a and b that make the following piecewise function differentiable

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Q: t the following functions : allest maximum value to ximum value. f(x) = -5a? – 11 5x²

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

Q: On the graph of f(x) = = 1? Choose all answers that apply. = cscx and the interval [-2n, 0), for…

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Q: Suppose the quanity demanded per week of a certain dress is related to the unit price p by the…

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Q: 7. Determine the equation of the oblique asymptote for the following function. 4x? +7 x – 11 f(x) =…

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Q: Given the function f(x)=(2)^x find the following functions of  -g(x) that shifts f(x) down 3 and to…

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