The number of people who subscribe to ComDish TV network can be approximated by the following function:                                                       f(x) =     74.22       /  1 + 22.34e-.21x   Where x = 0 corresponds to 2000.   Estimate the number of subscribers the company will have in  in 2020.

Q: How is the graph off (x) = x 3 - l2x 2 + 36x - 16 related to the derivative f'(x) = 3x 2 - 24x + 36?

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Q: Find the second derivative of the function. f(x) = 4x3/2

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Q: Write the equation of the line tangent to the graph of (x) at x=-1. f(x)=2x2+7x

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Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

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Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx+2

A: Find the equation of line

Q: Differentiate f (x) = x sech x².

A: ddxsech x = (-sech(x) tanh(x)) ddx(u(x)v(x))= u'(x)v(x) + u(x)v'(x). ( Cain rule of derivative)

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Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=5f(x)+3x. If the…

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Q: Suppose that the total sales of bicycles and bicycle-related equipment was P 240 billion in 2013.…

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Q: Graph the functions in excercise

A: Solution:Giveny=9-x

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Q: Find the average rate of change of f(x) = x3 - 5x2 + 27from - 3 to 2.

A: We know that, for the average rate of change, we divide the change in the output value by the change…

Q: What is the slope of the graph of f (x) = x3 - 4x2 + 6 at x = 2? Write the equation of the line…

A: Given :        The function f(x) = x3 - 4x2 + 6    To find the slope of the graph f(x) = x3 - 4x2 +…

Q: Find the equation of the line tangent to the graph of f(x)= (lnx)3  at x=10.

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Q: Find the derivative of the function. F(x) = (x* + 3x² – 2)*

A: Use chain rule to find derivative of given function as shown in step 2

Q: Find an equation for the line tangent to f(x)=x3 +3x2 -2x-8, at the point where x=1

A: To find the equation of the tangent line at point x = 1 for the given curve.

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: fx=x2  &  gx=2x Concept used: Let fx & gx be positive for x sufficiently large. fx grows…

Q: Find the higher-order derivative. f"(x) = 16x³ – ? 34x f'"'(x) = %D

A: To find the third order derivative , we need to differentiate the gives function with respect to x.

Q: Let f (x) = 5* – 7x - , for what value of root that the relative error would be equal or less than…

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Q: The number of licensed drivers in a country (in millions) can be approximated by the function g(x) =…

A: Solution: The objective is to estimate and interpret the value of the derivative in 2014.

Q: For the function f (x) = 2x° – 3x2 – 12x, use the First Derivative Test to find the location of any…

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Q: Which of the following functions grow faster than x2 as x→ ∞?Which grow at the same rate as x2?…

A: Let, fx=x2gx=1.1x Now, If limx→∞f(x)g(x)=1     →both function are growing with the same…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx;…

A: To determine equation of tangent line at given point.

Q: iven the function y=2x³-4x²+5,

A: Given, the function               y=2x3-4x2+5

Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

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Q: Find the higher-order derivative. F'(x) - 7x* - 8x? + 5x f"(x) =

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Q: Match f(x) with its graph without using a calculator. -… (x)

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Q: The planning department of Abstract Office Supplies has been asked to determine whether the company…

A: Revenue is the amount made by selling the desk.  Let the number of desks sold be x

Q: Find the equation of the secant line on the graph of the function f(x)=7x2 between the points where…

A: take x=-1 . take x=5

Q: The derivative of f(x) = 5lnx is

A:

Q: Explain why the function is discontinuous at x = 1. f(x) = (3 Зх for x 1

A: We have to find the left and right-hand limit of f(x) at x=1 So the right and left hand limits are…

Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

A: Given function is Px=5x+30x2-2.5x3 for 0≤x≤6. Compute the derivative. P'x=5x+30x2-2.5x3'…

Q: between 100,000 and 250,000 per day. The coefficient 1.85 is the slope of the first formula,…

A: The question data is pasted multiple times in between. It is not clearly decodable, what's your…

Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: Find the derivative of the function below: 4 f(x) + 1600 In(3 x7 x8 f'(x)

A: Given : fx = -4x7-5x8-6x9 + 1600ln3

Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: Find the derivative of the function. f(x) = 9x2 (x − 6)

A: We have to find the derivative of the function

Q: Write the equation of the line tangent to the graph of f(x) = -3x² + 5x +1 at x=1 and use it to…

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Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: The equationx - y2 = 0 implicitly defines whattwo functions?

A: x-y2=0 Now solve for y  y2=xy=±x  , x>0

Q: Differentiate the function. y= (5x- 5) (5 -x*)5 - 15625(x – 1)ª (5 – x*)*(5+4x³ – 5x*) dx

A:

Q: Find the equation of the line tangent to f(x) = 4x³ + 9x – 7 when x=3. O f(x) = 135x - 288 o f(x) =…

A: Given, f(x)=4x3+9x-7 and x=3 The equation of a line in point-slope form is given by y-y1=mx-x1…

Q: DiFferentiate Hthe function Inx Fx)=InZ+3, X70

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Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1…

Q: Solve both parts. Having difficulty with this set of piecewise functions.

A: (a). The given function is: f(x)=3      if x<2-4if x≥2

Q: Use the second derivative test to find the extreme values of the function f(x) = 49x + 1. Answer:

A: Second Derivative Test for Local Extrema The second derivative may be used to determine local…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.