The graph of f (x) = x² + 1 is given. Approximate area between graph and x-axis using 6 rectangles. ( Summation notation optional).

Q: The region between the graphs of f(x)=x^2+3 and g(x)=−x+5 has ____________area square units.

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Q: Describe how you could use the graph of f(x) = 2x to obtain a decimal approximation for √2.

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Q: Find the relative extremum of f

A: Given: f(x)5x5-3x3

Q: 3- For the function shown below, the total area is (a) (b) 0 (0)

A: The graph of the function fx=x2-4x+3 is given below:   The objective is to find the area of the…

Q: Use the graph of the function to estimate the interval on which the function is increasing. -5- 4 3-…

A: GIven problem:-

Q: The area of a parallelogram bounded by the y-axis, the line x=6, the line f(x) =6+2x, and the line…

A: The line parallel to y = 2x +6 will be of the form y = 2x + k…

Q: Find the average rate of change of f(x) = 3x² – 9 on the interval [3, a]. Your answer will be an…

A: The average rate of change of function over an interval [a,b] is given by  f(b)-f(a)b-a

Q: Find the formula for a function that has a vertical asymptotes x=4 and x=6 and a horizontal…

A: The easiest type of function to use for these types of problems are rational unctionsFor vertical…

Q: Find the domain and asymptote. In interval notation. y=1/x2

A: The given function is,

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = -2x4…

A: ƒ(x) = -2x4 + x2 + 10 We need to  Find the intervals on which ƒ is increasing and the interval on…

Q: Find f'(x) for f(x) = ln(3x² – 5x + 6). f'(x) = Preview

A: f(x)=ln3x2-5x+6f'(x)=ddxln3x2-5x+6f'(x)=13x2-5x+6ddx3x2-5x+6  [chain…

Q: What is the average rate of change of f (x) from x1 = -5 to x2 = 7? Please write your answer as an…

A:

Q: At a certain vineyard it is found that each grape vine produces about 10 lbs of grapes in a season…

A: To find the number of vines that should be planted to maximize grape production.

Q: Show that the production function f(x) = - () x³ + 10x² + 5x, –∞<x<∞ has both a concave and convex…

A: Given f(x)=-23x3+10x2+5x, -∞≤x≤∞ Consider the function f and its derivative f' can be differentiated…

Q: 3x is The vertical asymptote of f(x) : %3D 2-Inx

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Q: What is the horizontal asymptote of the function n(X) x +1

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Q: The domain of the function fal= ln (6-5x-x²) is

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Q: The area of the region between the x-axis and the graph of the f(x) = x3 – x² – 2x,-1 < x < 2 is :

A:

Q: Use the graph of f(x) = 3√x to obtain the graph of h(x) = 3√-x.

A: Obtain the graph of hx=-x3

Q: 4. Determine the vertical asymptote(s). x'+5x-7 а. У - х*-3х- 28 x³+4x³ -4x+6 b. f(x) - * x'+2x²…

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Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: The given function is, R=-14x3+3x2+8 The interval is 0 ≤ x ≤ 8

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given that: Rx=-14x3+3x2+8,        0≤x≤8…

Q: 4. Using at 7 points, graph the function f(x)=2x

A:

Q: Find the open intervals where ƒ is increasing or decreasing.

A: To find the  open intervals where ƒ is increasing or decreasing. Given that the function is…

Q: The graph of f(x) = is (increasing/decreasing) over its domain. 3 ()

A:

Q: What is the average rate of change of f (x) from x1 = -3 to x2 = 1? Please write your answer as an…

A: Question is solved.

Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

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Q: Find the area of the region enclosed between f(x) = x² + 5x + 18 and g(x) = 2x2 + 2x. Area = (Note:…

A: Explanation of the answer is as follows

Q: What is the average rate of change of f (x) from x1 = 2 to x2 = 8? Please write your answer as an…

A: Using formula of Average Rate of Change of function.

Q: explain the concept of linear interpolation, Using linear interpolation find f(3) for f(x)=5^x.…

A: We need to find the linear interpolation of f(3). f(x)= 5^x

Q: A producer of clay repair kits has determined that the revenue from the production and sale of x…

A: To find the interval of increasing and decreasing

Q: Use 50 rectangles to approximate the are under the graph of f(x)=3** on [-2,2].

A: Area under the curve using left end points : The area under the y=f(x) over the interval a, b is…

Q: Find the average rate of change of f(x) = 8x² − 4 on the interval [5, a]. Your answer will be an…

A:

Q: Use the Midpoint Rule with n = 5 to approximate x dr - 2

A: We have to find the approximation of the given integral using Mid point rule.

Q: What is the average rate of change for f(x) = 2X - 4 over the interval 2 sxs6? A) 8. 3) 10 15 18

A:

Q: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…

A: Given:- A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by…

Q: A rectangle is constructed under the graph of f(1) = 4x with one corner at (8, 0) and one corner on…

A:

Q: The region between the graphs of f(x) = x² + 3 and g(x) = x + 9 has area square units.

A: SOLUTION-

Q: How many asymptotes does the function Ax) = x-1 (x+ 1) have?

A:

Q: 5. How do the average rates of change for f(x) = – 0.5x and g(x) = - 1.5x² over the interval -5 < x…

A: Given functions are f(x)=-0.5x2 and g(x)=-1.5x2 over the interval [-5,-2] We know that average rate…

Q: Estimate the area under the graph of f(x) = 9 + 2x2 from x = −1 to x = 2 using three rectangles…

A:

Q: What is the average rate of change of f(x) from x = -5 to x2 = 1? Please write your answer as an…

A:

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. 18 f (x) = x2…

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Q: The shaded region shown below is bounded by the functions f (x) = -2a2 + 1.5x + 10 and g(x) = -1.25x…

A: To find the area of shaded region

Q: 5) The graph of the function f(x) = 4-x has an inflection point at

A: Given: fx=x4-x We know that for any function, inflection point are points where second derivative of…

Q: The total cost of producing x electric guitars is given by  c(x) = 1000+100x-.25x2 Find the exact…

A: To find: -

Q: 2. Find the value of k if the graph of k f(x) = 3x? has a point of inflection at x = -1.

A:

Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…