(a) Estimate the area under the graph of f(x) = 1 + 4x² from x = -1 to x = 2 using three rectangles and right endpoints. R3 = Then improve your estimate by using six rectangles. R6 =

Q: 1. Determine the area below f (x) = 3+ 2x – x² and above the x-axis.

A: 'Since you have asked multiple question, we will solve the first question for you. If you want any…

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: (a) Estimate the area under the graph of f(x) = 5 + 4x2 from x = -1 to x = 2 using three rectangles…

A:

Q: Find the area under the graph of f(x)= x2 and above the x-axis, between x = 0 and x = 3.

A: Given, f(x) = x2, we have to find the area under the graph f(x) and above x-axis between x = 0 and x…

Q: What is the area of the region below the graph of the square root function and above the x-axis from…

A: Given curve        y=xFind  area  of region  below  the graph  and abovex‐axis  from   x=9   to…

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 total area between the graph of f(x)=x2−5 and the​ x-axis from x=0 to x=6.

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [-1, 2] by…

A: Clearly the given integral can be approximated by the areas of the given triangles.

Q: "In Computing the area between two curves, why does f(x) have to be greater than g(x) over the…

A: In computing the area between two curves, why does f(x) have to be greater than g(x) over the…

Q: The area under the graph of f(x) = 3x2 between x = 2 and x = k is 208, where k> 2. Find the value of…

A:

Q: Approximate the area under the graph of ƒ(x) = 2x + 3 and above the x-axis from x = 0 to x = 4 using…

A:

Q: (a) Estimate the area under the graph of f(x) = 7 + 2x2 from x = -1 to x = 2 using three rectangles…

A:

Q: Find the area under the graph of f(x) = 3x2, above the x-axis, and between x = 0 and x = 2.

A:

Q: Find the area of the region under the graph of the function f on the interval [0, 9]. f(x) = 9x -…

A: given  f(x)=ax-x2Requirid area , A= ∫0qf(x) dx A=∫0q(qx-x2) dx  = ∫0qqx - ∫0qx2dx

Q: The area under flx) between X=L and x=2 fal= 3x2

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Q: Find the total area between the curve of the function f(x)=−4x+8 and the x-axis over the interval…

A: To find the total area between the curve of the function f(x)=−4x+8 and the x-axis over the interval…

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

A:

Q: Find the area bounded above by the function f(x) = -3x² + 4x - 1 and bounded below by the x-axis.…

A:

Q: Consider the region bounded above by f(x)=−2x3−9x2−10 and below by g(x)=−x3−12x2−10. Find the area,…

A: To calculate the area contained between the two given curves (as boundaries)

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

A: Reimann sum

Q: Approximate the area under the following curve and above the x-axis on the given interval, using…

A:

Q: Find the area between the y-axis and the graph X = 127 124 y² 2 1 -3 -2 -1 2 о T 4 3 0 -1 -2 1 on…

A: Given y-axis and x=1y2 on the interval -1,-3

Q: Calculate R3 and L3 for f (x) = x2 − x + 4 over [1, 4]. Then sketch the graph of f and the…

A:

Q: f(x) = 3 + 2x2 from x = −1 to

A: Given: f(x)=3+2x2 from -1, 2

Q: Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis.

A:

Q: f (x) = x – 2x – 3

A:

Q: Find the total area between the curve of the function f(x)=2x+4 and the x-axis over the interval…

A: We have to find the total area under f(x)=2x+4 and the x-axis over the interval [−9,−1]Recall that…

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

A:

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

A: Given the function f(x)=2+4x2. Estimate the area of f(x) on [-1,2] using three rectangles and right…

Q: Question in image along with part (a) repeated using left points and midpoints.

A:

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

A: The function given is  f(x)=2+4x2 on the interval [-1, 2]

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

A: Given problems:- a).  Estimate the area  under the graph f(x) =2x+1 from x=1 to x=2 using four…

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: (a) Estimate the area under the graph of f(x) = 9 + 2x from x = -1 to x = 2 using three rectangles…

A: ∫abf(x)dx≈Δx(fx1+f(x2)+....+f(xn-1)+f(xn)) where Δx=b−an.  We have that f(x)=2x2+9, a=−1, b=2, and…

Q: 4.1 Can you show me all the steps to solve problem 5?

A: (a) Draw the graph for the function with three rectangles using the right endpoints as shown in…

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

A: In this question, we find the area by using the midpoint rule for the given function f(x)=4+4x2 for…

Q: Find the area of the region under the graph of the function f on the interval [-2, 1]. f(x) = -x2 +…

A:

Q: The total area bounded by the graph of y =r 2. 1 and the x-axis is represented by

A:

Q: What is the area of the region below the graph of the square root function and above the x-axis from…

A:

Q: Let f(x) = -a² + 6æ – 5. Estimate the area below the curve y = f(x) and above the x-axis using 100…

A: Let f(x)=-x2+6x-5 To estimate the area below the curve y = f(x) and above the x-axis using 100…

Q: 1. Find the area in the first quadrant bounded by f (x) = 4x- x and the x-axis.

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: (a) Estimate the area under the graph of f(x) = 7 + 2x² from x = -1 to x = 2 using three rectangles…

A: We have to estimate the area under the graph of f(x) = 7 + 2x^2 from x = -1 to x = 2 using three…

Q: Q1: The area of the region bounded by the graph of y=-0.5x+4and y=3x in first quarter.

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [– 1, 2] by…

A: Given the graph of the function :

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: Find the total area between the curve of the function f(x)=−2x and the x-axis over the interval…

A:

Q: find the area of the region under the graph of the function f on the interval [-27,-1]  f(x) = 1 -…

A: Here Area under a curve on an interval is  analogous to the integral of the function of the curve on…

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

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

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x? over the interval [– 2, 1] by…

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x over the interval 0, 3 by using…

A: The given function f(x)=9-x2 over the interval [0,3]