Use finite approximations to estimate the area under the graph of the function f(x) = 4 - x between x = - 2 and x = 2 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width

Q: Q1) Estimate the area under the graph of f(x) = x² + 1 from x=1 to x=3 using four approximating…

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Q: 4. In the next two parts of the question, you will calculate the approximate area under the curve…

A: fx=4x3 Interval 2,4 Number of subinterval: 4

Q: 4) Find the signed area and the absolute area of the region between the graph of f(x) = x² - 1 and…

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Q: Given the function f(x) = 3x2 + x + 4 and the interval [1,8], answer the following questions…

A: Note:- As per our guidelines, we can answer the first part of this problem. For remaining part…

Q: O Below are the graphs of functions p(x) and q(x). p(x) q(x)

A: here we have to carefully observe the graph and then answer accordingly to the questions asked.

Q: Let the region R be the area enclosed by the function f(x) = 2x³ , the horizontal line y = –3 and…

A: Given the region R be the area bounded by fx=2x13,y=-3,x=0,x=3. Visualize the solid: Each…

Q: 2) Choose one of the following options, which interprets best the area under f(x) on the interval 12…

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Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. Enter…

A: Given:a = -3 b = 2f(x) = 3 + 5e0.8x  Solution:A=∫ab​f(x)dxA=∫−32​(3+5e0.8x)dx Evaluate the…

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: The formula for left Reimann sum is A=Δxfx0+fx1+fx2+fx3+fx4+fx5 for n = 6. The formula for right…

Q: Given the function f(x) = 3x2 + x + 4 and the interval [1,8], answer the following questions…

A: Area under the function: The area between the function y=f(x) and a x-axis in the interval [a, b] is…