6. (a)Estimate the area under the graph of f(r) = 1 + r² from r = -1 to 1 = 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating rectangles. (b) Repeat part (a) using left endpoints. (c) Repeat part (a) using midpoints. (d) From your sketches in parts (a)(c), which appears to be the best estimate?

Q: 4. If one uses the horizontal strip/element as a representative area, then the infinitesimal change…

A: You have posted the multiple question. I am answering the first one. Please post the question again…

Q: Find the area bounded by the parabola y^2=4x and the line 2x-4. (with graph)

A:

Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: 5. Find the equation of the line x = k that divides the area enclosed by the graphs of x = Vy,x = 3…

A:

Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

A:

Q: = 16 – x2 on [0, 3] using 5 rectangles and the left 2. Estimate the area under curve of f(x) :…

A:

Q: What is the area of the region bounded by the parabola y = x2 - x - 6 and the line y = -4. Round…

A:

Q: . Find the area bounded by the curve f(x) = (2+x)(x – 5), the lines = -2, line = 0 and the x - axis.

A:

Q: Find the area bounded by the curve y = 4x over the square root of (1 - 2x) and lines y = 0, x = -4…

A:

Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

A:

Q: What is the area bounded by the curve x² = -9y and the line y + 1 = 0?

A: Given curve is x2=-9y Line is y+1=0 We need to find the area bounded by the curve

Q: Calculate the area of the segment cut from the curve y = x(3 – x) by the line y = x.

A: here we have to find the area of the region bounded by the curve and line.

Q: Find the area of the region in the first quadrant bounded by the line y=3​x, the line x=4​, the…

A:

Q: Determine the area bounded by the curves y = -x – 18x + 40 and y = (x - 2)2

A: The x coordinates for the points of intersection of the curves are given by:…

Q: Find the approximate area under the curve of (X) = x²+1 from x = 0 to x = 2, using 4 left- endpoint…

A: Given curve: fx=x2+1 We have to find area under the given curve from x=0 to x=2. It is given that we…

Q: 3) Use approximating rectangles to approximate the area under the curve y = 4 – x2 on the interval…

A:

Q: 1/ Find the area of the region enclosed between the curves y= 2x+10 and y=4x+16 and ,x=-2 and x-5?…

A:

Q: y = 4/x, y- 4y + 2x = 5 and the line y = 4

A: Sketch the region and integrate in y variable.

Q: 1 Estimate the area under the graph of f(x) : x2 + 4 over the interval [- 1, 3] using ten…

A:

Q: 1. Find the area between the curves x2-y = 9 and the line y 2x-6

A: Since you have posted multiple questions in this question which are not interlinked so I do only…

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

A:

Q: What is the area (in square units) of the region bounded by the graphs of y=x2+2, and the x axis…

A:

Q: Find the area between the curve y = x² + 7x + 12 and the x-axis from x = -3 to x = -1. Step 1 Notice…

A:

Q: b) Find the area between the 2 curves f(x)=x²+4-4x and x-axes and border with the two lines = 5 &x=…

A:

Q: The area of the region bounded by the curve y= e", the x-axis,'the y-axis, and the line x 2 is equal…

A: We have to find the area of the region bounded by the curve y=e2x , the x-axis, y-axis and the line…

Q: Find the area between the curves:  and  y= -x2+4x+2 and y=x2

A:

Q: Estimate the area under the graph of f(x) = x + 3 over the interval [ - 3, 1] using eight…

A:

Q: The area under the curve y = 2x bounded from below bythe x-axis and on the right by x = 4 is 16 3…

A: Given that the area under the curve y=2xwe need find the area below the x-axis and the right by x=4

Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: The equation of the parabola is given by y = 4x2.Differentiate y = 4x2 with respect to x as follows.

Q: the area between the curves x^(2) and x^(4)

A:

Q: Calculate the area between the curves y = 7- 2x2, y = x2 + 4, and the x-axis.

A:

Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

A:

Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

A:

Q: The area bounded by the curve y = 6x and the lines x = 7,x = 11 and x – axis ахis is

A: → y = mx is the equation of straight line passing through origin with slope m.→ Area of triangle =…

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) : 1 over the interval [- 1, 1] using ten approximating…

A:

Q: 1. Find the area of the region bounded from the right by the curve x = 4 - y2 , from the left by the…

A:

Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

A:

Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Given that, The curves are y=x2+5 and y=-x2, the line x=3, and the y-axis. Find the area bounded by…

Q: The area bounded by the curves y = 1 -x2 and y = - x2 + 2 x + 3 , line x = -1 and x = 1 is

A:

Q: 6. Find the area bounded by the curves of y = 6x + x² andy = -x² - 2x, and the linex = 5.

A: The equation of the curves are  C1: y = 6x+x2C2: y = -x2-2xC3: x = 5 To evaluate: The area of the…

Q: Find the area of the region bounded by the parabola y = -x² + 4x - 3 and | its tangent lines at the…

A: We have to find the area of the region.

Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A:

Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

A:

Q: Find the area of the region bounded by the curve y= 1--x² and the x-axis.

A: Given equation of the curve: y=1-19x2 To find: Area of the region bounded by the curve and x-axis.

Q: 14. (a) Find the area bounded by the curves y = 2x² and y = 4x. %3D (b) Two cars both start on a…

A:

Q: Approximate the area under the curve y=1/x from x=1 to x=4 using the left endpoint estimate with six…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1/ Find the area of the region enclosed between the curves y= 2x+10 and y=4x+16 and,x=-2 and x-5?…

A: We use integral to find area bounded by curve and lines

Q: Estimate

A: