The graph of g(x) is shown below. Areas trapped between the curve and the x-axis are labeled. NOTE: you should not sure the areas listed when answering part (a). area = 5.2 -2 a) Estimate 3 2 0 -1- 1- e [ƒ(z)dz using M3 [² f(x)dx = [² f(x) dx = = 2 b) Find the exact value of each of the following: f(x)dx = [ f(x)dx= [^\ƒ(2)\dx = 3 area=1,8 4

Q: 2. f (x) dx

A: Given that:Graph of f(x)

Q: 3) Show that the area of the shaded parabolic arch y = (x-a)(b-x)in the figure is equal to…

A:

Q: f(x) =x²(3 – 3x)³ 2(3-3x

A: This is the problem of the application of differential Calculus.

Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: = FIGURE 3. The curve in question 1(C), where A (1, 13/12) and B = (4,67/12).

A:

Q: Q.No.4: Find the absolute extreme values of the function f(x) = secx sxsThen graph the function.…

A: Given, fx = secx           -π2≤x≤π6 We have to fine the extreme values of the function, graph the…

Q: Use a graph to explain why. if f is defined at x = a.

A: The given integral is ∫aafxdx Formula used: it is known that the area bounded by the graph of fx and…

Q: Q5: Differentiate the following: a. f (x) = In(3x + 2)5 b.y = (2x* + 1)tanx c. f(x) = etan(2x)

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Q: Which statement best describes the roots of f (x) = x* O 1 real, multiplicity of 3 O 2 real, 1…

A: Solve the following

Q: find the domain and range of the given function x2 + X f(x) x³ – 9x2 + 2x -

A: Here, we need to find the domain and range of  fx=x2+xx3-9x2+2x. We know that,  The domain of a…

Q: %3D 2. x² - 4 to

A: Given: fx=x2-xx2-4 (a). As we know that; To calculate the vertical asymptotes, equate the…

Q: Find the equation of the tangent line to the graph of f(x)= 1 at the point (2,1). %3D X-1

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Q: 1. Graph: 4x +5y = 10 slope y-int domain Give: range

A: The equation 4x+5y=10 , then find the slope, y-intercept, domain and the range of the function.

Q: Question

A: We will find A(x) and graph x vs A(x).

Q: Find the graph given the following table. X f'(x) a b C 104

A: Option BExplanation:f'(x) means derivative of a function f(x) at a point with respect to x.…

Q: Question 10 Indicate whether the relation is: • reflexive, anti-reflexive, or neither symmetric,…

A:

Q: 7. The graph of f (x) and a table of values for g(x) and a'(x) is given. If h(x) = /f(x)· g(x) %D…

A: (3) Given that fx=-xx-1. To determine whether fx is increasing, decreasing or has a horizontal…

Q: Find the function f whose graph has slope 2x2 + 4 df dx and which passes through the point (1, 1).

A: Given: The slope of the function is, dfdx=2x2+4x

Q: 1.557 B) In (x) dx + | (2 – x) dx 1.557

A: Given : The equations of the curves are y = ln (x) and y = 2 - x and about x - axis.

Q: III. Graph the following functions: 4. y lIn(x-3) 5. y= In(x-1) 6. y= In Vx-1

A: Consider the functions 4.   y=|ln(x-3)|5.   y=lnx-126.   y=lnx-1

Q: Where is the function h(x) = |x – 1| + |x + 2| differenti- able? Give a formula for h' and sketch…

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Q: Use the graph below to evaluate the following: y = f(x) 6.

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Q: (12 On the interval [4, 12], the graph is a semi-circle. Since the semi-circle is below the x-axis,…

A: Here given the radius of the circle is r= 4 We need to find the area of the circle whose radius is…

Q: x+7 Consider the function f(x) = 1- 3x a. Find f(x). b. Graph f and f together. df c. Evaluate dx 1…

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Q: If 00 = 4, 01 = 2.5, plot the graph of ho(x) = 00+ 01x. %3D

A: The given problem is to sketch the given hypothesis function with given θ0 = 4 and θ1=2.5