2. The graph of a function f is given. Estimate Lf(x)dx using five subintervals with (a) right -1 endpoints, (b) left endpoints, and (c) midpoints.

Q: Suppose that the differentiable function y = f(x) has an inverse, that the graph of f passes through…

A: first we find equation of line which passes through (2,5) and slope (m)=1/4 y-5=m(x-2)…

Q: Sketch an approximate graph of g onthe interval0<=x<=4 g(x)=\int_{0 }^{x}( f(t)) d t Identify…

A: Let F be the anti-derivative of the function f. Calculate the indefinite integral of ft with respect…

Q: 7/8 For what value of x does the graph of f(x) = x8e* have a horizontal tangent?

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Q: The graph of a function g is given. Estimate (9(x)dx with 6 equal subintervals using (a) right…

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Q: The graph of a function f is given. YA 1 1 10 Estimate f(x) dx using five subintervals with the…

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Q: Let f(x) = log2 (4x-x²)+2x. At what point is the tangent to the curve y = f(x) perpendicular to the…

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Q: Given the graph of the derivative f'(x) shown below, which one of the following statements regarding…

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Q: Given a function f with input that has the dimension [x] = L-M-T-1, such that [f(x)] = L-M, find the…

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Q: use the definition to find the derivetive of feconction fcx) = 「X+/ and obtain Hりe equabion of ナんe…

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Q: Use the guidlines to sketch the graph of the function  y=1/x + ln x

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Q: 2. Find all x values on the graph of f (x) where the tangent line is horizontal for each of the…

A: To find: The values of x on the graph f(x) where the tangent line is horizontal. Given information:…

Q: Suppose that the differentiable function y = ƒ(x) has an inverse and that the graph of ƒ passes…

A: Given,

Q: Find k such that the line is tangent to the graph of the function.

A:

Q: (b) Sketch the graph of f (x) = ln(4 – x²). Use the first and second derivatives to identify where…

A: Consider the function  fx=ln4−x2

Q: Let f(x) = x^2(ln x − 1) (e).Find the inflection point(s) of the graph of f, if any.

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Q: The function g is differentiable, and the tangent line to the graph of y = g(x) at x = -4 is y = 5x…

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Q: 3. Let f(x) =x In(x – 3)+5. Find the equation of the line tangent to the graph of f at the point…

A: Given thatf(x)=xln(x2-3)+5f'(x)=ddxxln(x2-3)+5         =xddxln(x2-3)+ln(x2-3)ddx(x)+ddx(5)…

Q: In the given question , find all functions f having the indicated property? The tangent to the graph…

A: Explanation: Given a function f(x) and point of tangency (x,y). Also given that, the tangent line…

Q: 4 Given the function f (x) = :3 using the limit shown below. You do not have to simplify your…

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Q: A graph of f(x) is shown above. Estimate the following integral. 3.

A: The graph of the function f(x). We have to estimate the integral ∫03f(x)dx.

Q: 2. Given the graph of the function f(x) below, use a midpoint approximation with 4 rectangles to…

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Q: The Range Rf for the functionf (x) = tanhx is:

A: Range of f(x)= tanh x

Q: 4) Find the values of x where the tangent lines to the graph of the function is horizontal. f(x) =…

A: a) Consider the function fx=xx2+16. To identify the x values where the tangent lines to the graph of…

Q: In the given equation/s as follows (a) find the critical numbers of f, if any, (b) find the open…

A: The given function is;  f(x)=x2-8x differentiate with respect to x f'(x)=ddxx2-8x

Q: Find f'( – 2) for f(x) = ln( (x* + 3)´) as an exact fraction or rounded to at least 2 decimal…

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Q: Let f(x) = 4x 2. (a) Use the limit process to find the slope of the line tangent to the graph of f…

A: Consider the function: fx=4x4-2

Q: On the graph of f(x) = tanx and the interval [ − π, π ), for what value(s) of x does f(x) = 1?

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Q: In the given equation/s as follows (a) find the critical numbers of f, if any, (b) find the open…

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Q: The graph of a function f is given. YA Estimate 10 [20 1 0 1 f(x) dx using five subintervals with…

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Q: 1. Let f(x) = Find the equation of the tangent line to the graph of f'(x) at the point x² + 1 where…

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Q: 3. For what value of x does the graph of f (x) = e* – 2x have a horizontal tange

A: Solve the following

Q: 1 Find the distance between the two values of x at which the function is discontinuous. x²-3x + 2

A: The function given is ,f(x) = 1x2-3x+2f(x) is discontinous when,x2-3x+2 = 0Using quadratic formula,x…

Q: Find the x-value(s) on the graph of the function at which the tangent line has the given slope. a)…

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Q: Let f=3x^2+2 and find the values below 1) f(x+h) 2) (f(x+h)-f(x)) 3) lim h→0 (f(x+h)−f(x))/h 4) Find…

A: The given function is f(x)=3x^2+2.

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: The graph of a function f is given. yA 1 10 Estimate f(x) dx using five subintervals with the…

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Q: Suppose you need to estimate the value of| 5(2) dz using the midpoint method. How many subintervals…

A: Use the formula of error in mid-point rule of approximation of integral, as follows: Error in…

Q: •10 16. The graph of f(x) is given below. Estimate f" f (x)dx using 5 subintervals with right…

A: To estimate ∫010f(x)dx, use the midpoint rule approximation,…

Q: Let f(x) = 33 –x The slope of the tangent line to the graph of f (=) at the point (-5, 8) is The…

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Q: 3. Let f be defined by f(x) = e* sin x. What is the slope of the line tangent to the graph of f at x…

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Q: 4)Find the inflection points of the function . f(x)=ln(x^(2)+1)

A: In this question we will find the point of inflection   we have given function   f(x)=ln(x2+1)…

Q: Use the figure below to estimate the derivative, or state that it does not exist. The graph of f(x)…

A: Given problem is :

Q: Let f(x) = 25 x The slope of the tangent line to the graph of f(x) at the point (–6, – 25) is The…

A: All the answers are given below

Q: 6. Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope f(x)

A: Slope of tangent is obtained by derivative of the function f(x).

Q: Let f(x) = 21 – x² The slope of the tangent line to the graph of f(x) || at the point (-4, 5) is The…

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Q: ау 3 • Find for y = dx in each of the following ways: o Use the limit definition of the derivative;…

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Q: 4. Consider the function f (x) = 2x + 1. Find the equation of the tangent to dhe %3D graph of f(x)…

A: The given function is                                      f(x)=2x2+1

Q: 3. Use the graph of y = f (x) shown to sketch the graph of its derivative f'(x). [if on your own…

A: Give function f(x) has graph If you see this graph you will observe that derivative of f(x) will be…

Q: 10.The graph of f'(x), the derivative of f, is given below for -6 Sxs7.On what intervals is the…

A: Option (c) is correct Because f'(x) is greater or equal to zero in that interval. Or we can say…