The graph of a function crosses the y-axis at the point y = 2 and the x-intercept of the tangent line drawn at any point of the graph is 1 more than the x-coordinate of the point of tangency. What is the function? Is such function unique? Provide all the details of your solution.

Q: Find the point on the graph of f (x) = (9x + 8)/æ + 5x (x > 0) at which the tangent line is…

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A: Given: f(x)=-0.0032x2+x+3 Determine the height of base ball at a distance of 300 feet.

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Q: To three decimal places find the value of the first positive x-intercept for the function…

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Q: Find f′(x) and find the equation of the line tangent to the graph of f at the indicated value of x=1…

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Q: Find all points on the graph of ​f(x)=8x^2−26x+21.   where the slope of the tangent line is 0. The​…

A: Given : f(x) = 8x^2-26x+21 Find: All points where The slope tangent line is zero. We know tha slope…

Q: 4. The graph of f(x)=x² – 6x² +2x+5 is given below. Sketch the line 2x- y=3 on the same graph and…

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Q: 1 For f(x) -x² + x + 2, find: a) the equation of the line that is tangent to the graph of f at the…

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Q: Given the function g(x) 6x3 – 27x2 – 180x, find the first derivative, g'(x). = (x),6 Notice that…

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Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are…

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

Q: 3 Determine the equation in the form f(x)%3= for the function with a vertical kx - c asymptote at x…

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Q: The tangent line to the graph of f(x)= 5-x+e^(x-1) is horizontal at what  point?

A: Calculus Question

Q: Determine the absolute extrema of the function f(x) (x- 4)e on the interval-1 <x<4. SHOW YOUR WORK!

A: We have given f(x) = (x – 4)ex on the interval -1 ≤ x ≤ 4.

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A: Given

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Q: 2 Determine the equation in the form (x) kx for the function with a vertical %D asymptote at x = 1…

A: The function with vertical asymptote at x=1 and y-intercept at -1.

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Q: Evaluate at f(4). f(x)=6x-1 if x<0 7x+3 if x was greater than or equal to 0

A: f(x)=  6x-1 if x&lt;0                       7x+3 if  x≥ 0 TO find: f(4)

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A: We have to find average rate of change of function

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A: Given  Graph of f(x)=secx and the interval [−2π,0) To do Find the value of x at which f(x)=1. Choose…

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A: Given curve

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A: Given: The Cost and Revenue functions for the production and sale of x hair dryers:

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A: D) Given Cx=20x+23,680 &amp; Rx=200x-0.2x2, 0≤x≤1000. To find (i) the graph C(x), R(x) and P(x) on…

Q: 6

A: Given information:Jim works for a clothing store. He gets paid $150 per week base salary, plus 8%or…

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A: the function given to us is f(x)=2x3-39x2+216x+8 first, we will derivate the function and keep it…

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A: Given information: The path of the baseball is given by the function f(x)==-0.0032x2+x+3. (a) Find…

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Q: Why does Newton's method fail at all of these points in the graph except for x=5, especially when…

A: Since the graph cut at two point. at x=2, x=6 and graph never touch the  negative x-axis. and…

Q: Given the function f (x) = x'eX %3D 1. Show that f'(x) = -e*(x – 4)x and f"(x) = e¯*x²(x² – 8x +…

A: Given :- f(x) = x4 e-x To find:- f'(x), f''(x)  Domain, intercepts Intervals increasing,…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x.   f(x)=8−7…

A: Givenf(x)=8-7lnx

Q: 4. The graph of f(x)= x-6x² +2x+5 is given below. Sketch the line 2x-y= 3 on the same graph and then…

A: Just take the derivative of f(x) and equate it to slope of given line and find the values of x and…

Q: (a) Find the coordinates of the points P and A. P(x, y)  =               A(x, y)  =…

A: Please see the below picture for detailed solution.

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Q: Find the equation of the line tangent to the graph of f(x)= -(1/6)x^2 at x=3

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Q: Graph the function: f(x) = x+1 for x<2. Show a T-chart with all of your work. Determine a solution…

A: Given function is f(x)=x+1 and we have to plot graph of f(x) for x&lt;2We have to show a T‐chart for…

Q: Given the function g(x) = 6x³ – 27x - 180x, find the first derivative, g'(x). %3D g'(æ) = %3D Notice…

A: Using second derivative test,

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A: Function value at any point can be found out by substituting point in function.

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Q: 19. Find the absolute extrema of the function on the indicated interval. f (x) = xe-3x;[-1,2] хе

A: As a first step, we need to find all the critical points by equating the derivative of f(x) to zero.…