Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your result. 8. x2 - X dx x² + x + 1

Q: The shaded region shown below is bounded by the functions f(x) = -2x2 +2.75x +9 and g(x) = –-0.75x…

A: 1st we need to find point of intersection of given curve and line .Then divide shaded part into two…

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: 9) The graph below shows two functions f (x) and g(x) on the interval [0, 10]. Use the midpoints of…

A: Please see the attachment

Q: Using 3 rectangles and left endpoints, the area under the graph of the function f(x)=1+x² from x=0…

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Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 2x2. (Use decimal notation. Give your answers…

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Q: Approximate the area under the graph of F(x)=0.6x³ +6x² -0.6x-6 over the interval [-8,-3] using 5…

A: F(x)=0.6x3+6x2-0.6x-6 a=-8b=-3n=5

Q: Suppose we want to approximate the integral widths. Answer: 10 Write out this sum, using function…

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Q: write a formula for a function h(x), whose graph is identical to the graph of y=x^3 except that the…

A: the given function has to be written as ratio of two polynomials  h(x)=f(x)g(x) the graph has hole…

Q: Find equations of the tangent line and the normal line to the graph of the function f(x) = 5x² + 8…

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Q: R(x) = 7/x^2-16 If needed, write this given function as a single rational expression. Aftrr, factor…

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Q: Identify the function as a power function, a polynomial function, or neither.   f(x)= x^2/x^2−1

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Q: What function is y = x^3 + 2x + 1? O A. Cube Root Function O B. Polynomial Function O C. Inverse…

A: A function of the form f(x) = anxn + an−1xn−1 + . . . + a2x2 + a1x + a0 is said polynomial function.…