Use finite approximations to estimate the area under the graph of the function f(x) = 15-x - 2x between x = -5 and x 3 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: (a) Estimate the area under the graph of f(x) = 7 + 2x2 from x = -1 to x = 2 using three rectangles…

A: Given:- Estimate the area under the graph of f(x) = 7 + 2x2 from x = - 1 to x = 2  To find:- using…

Q: Approximate the area under the curve over the specified interval by using the indicated number of…

A: Divided the interval 1, 3 into n = 2 sub-interval of length ∆x=3-12=22=1 with end points 1, 2, 3…

Q: (A) Estimate the area under the graph of f(x) = 3x + 4 %3D from æ = -1 to r = 4, first using 5…

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

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Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

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Q: (a) Estimate the area under the graph of  f(x) = 4 + 4x2 from x = −1 to x = 2 using three…

A: In this Question I we taking the endpoint mid point and finding values

Q: For the following graph of a function, estimate the area under the curve on the interval [-3, 1]…

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Q: In the given question , use the Midpoint Rule with n = 4 to approximate the area of the region…

A: We have to use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the…

Q: Find the area under the graph of f over the interval [3,8). 4x + 5, for xs6 f(x) = - 35 - x, for x>6

A: As per the Guidelines, I can solve only first question. For second question, please post the…

Q: Use finite approximations to estimate the area under the graph of the function f(x) = 3-x - 2x…

A: Given:fx=3-x2-2xAt, x=-3, fx=3--32-2-3=3-9+6=0At, x=-2, fx=3--22-2-2=3-4+4=3At, x=-1,…

Q: Estimate the area under the graph 1 of f(x) = from a = 5 to x2 +1 b = 13 by using n = 4 rectangles…

A: The given function,   f(x)=11+x2 from a=5 to b=13 by using n=4 rectangles

Q: Find the area between the graph of function and the x-axis over the given interval, if possible.

A: fx=5x-22,  (-∞, 1].

Q: Approximate the area under the graph of​ f(x) and above the​ x-axis using n rectangles. f(x)=x^2+2,…

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Q: (A) Estimate the area under the graph of f(x) = 2x' + 3 %3D from x = -1 to x = 4, first using 5…

A: We can solve this using formulas

Q: 2. Approximate the area under the graph of f(x)= 25–x² from x=0 to x= 5 using the midpoints of five…

A: Area of graph under f(x) = ∫05f(x)dx

Q: Can i get help step by step?

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Q: Use finite approximations to estimate the area under the graph of the function f(x)=8-x-2x between x…

A: Given: fx=8-x2-2x between x=-4 and x=2 To find: a) Area under the fx using a lower sum with two…

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

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

Q: Estimate the area under the graph of f(x)=x^2+2x from x=3 to x=11 using 44 approximating rectangles…

A: We have to estimate the area under the graph of f(x)= x2+2x from x=3 to x=11 using 44 approximating…

Q: Sketch a graph of f(x) = (x – 1)² + 3. Using 4 subintervals, approximate the area bounded by f(r),…

A: Here we will use approximation of area under the curve in region using Upper and Lower sums. We will…

Q: Let f(x) = x2     Using the rectangle sum method, estimate the area under the curve for the interval…

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Q: In the given question , use the Midpoint Rule with n = 4 to approximate the area of the region…

A: Consider the provided function, fx=tanx, 0,4 Use the Midpoint Rule with n=4 to approximate the area…

Q: Consider the area under the graph of f (x)=x – 3x, from x = 2 to x= 4. a. Estimate the area under…

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Q: Estimate the area under the graph of f(x)= 7 +4x^2 from x = -1 to x = 2 using both three rectangles…

A: All the Riemann sum are given as follows:

Q: Suppose you estimate the area under the graph of f(x) = x from x = 5 to x = 25 by adding the areas…

A: The given function is fx=x3 from x = 5 to x = 25 Partition type: 20 equal subintervals with right…

Q: For the area under the curve f(x) = x(x+1)(x+7) above the x-axis, and between the vertical lines…

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Q: (a) Estimate the area under the graph of f(x) = 2 + 4x from x = -1 to x = 2 using three rectangles…

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Q: (a) Estimate the area under the graph of f(x) = 3/x from x = 1 to x = 2 using four approximating…

A: Given function and interval is

Q: c) [ 1: Estimate the area under the graph of f(x) = x² - 1 from x = 1 to x = 3 using four…

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Q: Use finite approximations to estimate the area under the graph of the function f(x) = 8 - x? + 2x…

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Q: Use the left endpoint and 10 rectangles to find an approximation of the area of the region between…

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Q: 2. Find the area between the graphs of the functions f(x) = 8 – 2a2 and 9(x) = 4 – x? over the…

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Q: Use the Midpoint Rule with n 4 to approximate the area of the region bounded by the graph of the…

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Q: Find the area of the region under the graph of the following function. f(x) 5xe from x = 1 to x = 7

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

A: Width of each interval = (6-2)/4= 4/4= 1 So the partition is 2 , 3, 4, 5, 6 So the midpoints are 2.5…

Q: approximate the area under the graph of f(x) and above the x-axis using the left, right, and…

A: f(x) = 3x + 2 from  x=1  to  x=3; n = 4dx = Width of each rectangle = (3 - 1) / n = 2 /4 = 0.50

Q: 1. a) Approximate the area under the graph of f(x)=} from x=1 to x=5 using the right endpoints of…

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Q: 3. Find the area between the graph of f (x) = x² – 2x and the x-axis from x = -1 to x = 1

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Q: (a) Estimate the area under the graph of f (x) = x² + 1 from x = 2 to x = 4 using four subintervals…

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Q: Given the graph of the function f(x) below, use a midpoint approximation with 3 rectangles to…

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Q: (A) Estimate the area under the graph of 3 f(x) = from x = 1 to x = 5 using 4 approximating…

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Q: c) [1 graph of : Estimate the area under the f(x) = x² + 1 from x = 0 to x = 2 using four…

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Q: For the following graph of a function, estimate the area under the curve on the interval [2, 5]…

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Q: Graph f(x)= 4–x² from x = -2 to x 2. Estimate the area under the graph of f using four approximating…

A: area using left Riemann sum

Q: Find the area between the curves of the functions f(x) =4x - x² and g(x)= x² -6x +8. Round to 1…

A: Use double integral

Q: For F(x)= 3+3x-2x^2 A. Sketch the graph and the rectangles from x=0 to x=2 using n=4 and right…

A: The given function is:…

Q: 1. Use finite approximations to estimate the area under the graph of the function f (x) = x³ between…

A: The function fx=x3 between x=0 and x=1

Q: Approximate the area under the graph of​ f(x) and above the​ x-axis using n rectangles.   f(x)=2x+3…

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

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Q: Use the right endpoint sum to approximate the area under the curve f (x) = x^3 from x = 1 to x = 2…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.