1. a) Given (x+1)dx, graph and lightly shade the appropriate region. -1 b) Approximate area: Draw four rectangles; use right end-points. c) Calculate area of each rectangle; sum. x|f(x)

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: 9. y = x²; y = 8-x²; y = 4x +12 %3D

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

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Q: 3) Show that the area of the shaded parabolic arch y = (x-a)(b-x)in the figure is equal to…

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Q: 4 To find the blue shaded area above, | f(x)dx = area a Where: a = , b = on

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Q: 3 Estimate x dx using right endpoints for n = 4 approximating rectangles. x² dx is approximately

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Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

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Q: 2 3 To find the blue shaded area above, we would calculate: f(x)dx = area Where: a = f(x) = %3D area…

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Q: 2. The area between the graphs of a(t) = t2 + 5 and b(t) = 2t3 + 3t? – 4t + 5.

A: According to the guideline we should have been able to solve only one question at a time #2

Q: Given the area of the region enclosed by y = 4 – x' and y = -x+2, identify the BOTTOM function.

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Q: Find the area between the graph of y = x - 6x + 8 and the x-axis from x = 1 to x = 3.

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Q: What is the area enclosed between the graphs of X 4 and x = y² – 5?

A: Area between two curve

Q: 4- To find the blue shaded area above, we would calculate: | f(x)dæ = area Where: b: f(x) = Preview…

A: Given,

Q: 3. Find the area between the curves x2 2ay and x? = 4ay – a².

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Q: 3- To find the blue shaded area above, we would calculate: f(2)dx area Where: a = b = f(x) = %3D…

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Q: Q2/ Find the total area between the curve y = -x² – 2x and the X-axis.

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

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

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Q: What is the area enclosed between the graphs of X1 = y“ and X2 –3y + 4?

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Q: 10 Determine the area above f(x)=x²+2x+3 and below the line y=11.

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Q: L(2x² – S,(2x2 - 4x + 5) dx

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Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54…

A: The area formed is of trapezium

Q: B) Find the area of the region enclosed by the Parabola y = 2 – x2 and the line y + x = 0 ?

A: The region is bounded by y=2-x2 and y+x=0

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: Find the total areas of the shaded regions

A: according to given figure areaA of shaded region is given by A=∫01x13-x12dx…

Q: Find the area of the region between the curve and the​ x-axis. ​f(x)=36−x2​, from −8 to 8.

A: The function is given by fx = 36-x2;  -8≤x≤8 To evaluate : The area of the region between the curve…

Q: b) Find the exact area of the region enclosed by the curve y = x² – 3x, the x-axis and the vertical…

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

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Q: 1 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; b. y= 3x-3;…

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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: 23)The area of R2 using vertical strip is given by (x-x) dx В. D.

A: Please refer to the image below.

Q: ii, Find the area under the graph y=5x4 between the limits x= 1 and x-3.

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Q: Determine the area below f(x) = 18-2x and above the line y=8+x. Sketch the graphs.

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Q: (b) Find the area of the region between the x-axis and the graph of f(x)=3x² - 3, where -2<x<2

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Q: ind the area of the region bounded by the x-axis and the lines x =- 2 and y 4x + 20.

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Q: 1. Find the area enclosed between the graphs of y = 5 – 10x + 7x? – a3 and y = 4x – 3.

A: given equations are

Q: 2 Sketch the graph of y = 0.5x +2. Find the area between your line, the x-axis and the lines x = 0…

A: The slope-intercept form of a line is given by the equation y=mx+c. Here, m represents the slope…

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

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Q: In Exercises, use Table VII to find the required χ2-values. Illustrate your work graphically.…

A: a).Software procedure:Step by step procedure to obtain Chi-square value using MINITAB software is…

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

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Q: Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the…

A: The given question can be solved as shown in step 2.

Q: 3. Determine the area above f(x) = x² + 2x + 3 and below the line y = 11.

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Q: Find the area between the y-axis and the graph X = -y + 5y – 4 on the interval [1, 4]. 3- 2- 54 3-2…

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Q: 3. Find the area of the loop of the curve y? = 4x'(1-x)

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Q: | a? + 5x da using midpoints forn = 4 approximating rectangles. Estimate 22 + 5x da is approximately

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Q: 3. y = x2 + 5x and y = 3 – x -

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

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Q: Find the area A of the region between the graphs of the equations y2 x2 = 5x 5y = A = symbolic…

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Q: ind the area bounded by y = sinx - e*, the x-axis and the lines x = HT onfe 10 7 juo 44 KI4 x = ².…

A: This question is based on definite integral.

Q: Find the area between the curve y = x = 0 and x = 5. x(x 3) and the ordinates - LA B 3

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