Approximate the area of the region bounded f(t) = cos(t/2-3x/4) 1- by the graph of f(t) = cos (t/2-3x/4) and the t-axis on [3x/4,7x/4] with n= 4 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle (see figure). 0.5 3x 2x 2 The approximate area of the region is (Round to two decimal places as needed.)

Q: Find the area, if it exists, of the region between the curve and the x-axis on the given interval.…

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Q: Find the area bounded by the curve y and its asymptote/s. (1+x2)

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Q: 7) Find the area under the parabola y = x² – 2x +2, above the x-axis and between x = 0 and x = 1.

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Q: Find the area bounded by the following: 1. Curve y²-8y-8x +32= 0 and y²-8y + 4x = 0

A: We will use basic knowledge of integral calculus and the theory of evaluation of integrals.

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

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Q: what is the sigma notation for the right-hand approximation of the area inder the curve f(t)=t^2…

A: Let's find.

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A: The question is taken from the calculus in which we have to find the area under the given curve so…

Q: Find the area of the region between the curve and the x-axis. In 4 3x f(x) = e - 4 from 0 to 3

A: By using area formula, we calculate the required area of the region.

Q: Approximate the area under the curve of y = x² - 2x + 3 over the interval x = -1 to x = 3 using 4…

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Q: Find the area of the region bounded by the following curve. The limiçon r= 6-4 cos 0

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Q: Find the area of the region bounded by the graph of ​f(x)=sin x and the​ x-axis on the…

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Q: Find the area of y=4ex/1+e2x bounded by the x-axis, y-axis and line    sketch the graph

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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: d the area of the region bounded by the curves: y = cos(nx) and y = -1 + 4x²

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Q: Find the area of the region between the graphs of f(x) = 3x + 8 and g(x) = x2 +2x +2 over [0, 2]…

A: according to graph area of shaded region can be written as given below A=∫02fx-gxdx

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x² - 6x + 13; [−1, 2]

A: To find the area of the region under the graph of f(x)=x2-6x+12 on the interval [-1,2].

Q: Find the area of the region bounded by the given curve: r = 5e° 4 on the interval =<O< 2n. 5

A: The area of the curve r=f(θ) is A=12∫abr2dθ.

Q: = Set up the definite integral required to find the area of the region between the graph of y y = 2x…

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Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 – 6x + 14; [-1, 2]

A: Given  function is  : f(x) = x2 - 6x + 14  ; [ -1, 2 ] Method to find area under the curve : The…

Q: Find the area of the region bounded by el MQ4.3.png f (x) — aVbx — с the x -axis and the line x = 13…

A: Given fx=abx-c where a=4.1, b=4, c=6

Q: Find the area under the graph of f(t) = 2 between t = 0 and t = x, where 0 0 is fixed. Evaluate the…

A: Given ft=t1-t2a. Find the area under the graph of f(t) between t=0 and t=x, where 0&lt;x&lt;1 and…

Q: what is the sigma notation for the left-hand approximation of the area under the curve f(t)=t^2 from…

A: Find your answer below

Q: 3) Find the area of the surface formed by revolving the graph f(x) = ;x³ about the x-axis over the…

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Q: Q1/ a) Sketch the graph of y = sin2x for 0 <x SI %3D b) find the total area bounded by the curve and…

A: This is a problem related to calculating area under curve of the polar equation. Based on the…

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 bounded to the right by x = y + 2 and to the left by x = y². 543-2 1…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: Find the area of the region bounded by the given curve: r = 3e° on the interval T <o< 2n.

A: We have to find the area of the region bounded by the given curve r=3eθ on the interval 63π≤θ≤2π.

Q: Use the limit process to find the area of the region between the graph of the function and 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)=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…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 17 – r…

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Q: Find the area (in square units) of the region under the graph of the function fon the interval [-1,…

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Q: The area of the region bounded by the graphs of f(r) 2– a and g(x)=r is A-

A: Here we will find out the required value

Q: Find the area of the region lying between the x-axis and the curve y = In(7x) – 1 to the right of…

A: Consider the function y=ln7x-1x2. Find region between the curve to the right of line x=e and  x-axis…

Q: Let f(x) 4x³ and g(x) = sin (Tx) and R is the region bounded by the two %3D functions on the…

A: The slope of a tangent to a curve at a point is obtained by calculating the derivative of the curve…

Q: Find the area of the region bounded above and below by the graphs y = sin 2x and y = cos 2x, where x…

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Q: Consider the area of the region bounded by the curves y = 2x +1;x+y=7 andx=8. Which of the following…

A: We need to find the expression for the moments in x.

Q: Find the area of the region bounded by the graph of Z F7(2).png ... f(x) = av x2 and g(x) = = CX -…

A: For the given values of a, b and c , we get, f(x)=27x-x2   and   g(x)=2x

Q: Approximate the area under the graph of f(x) = 0.03x* - 1.44x + 43 over the interval [3,7] by…

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Q: Find the area between f(x) = 2r ++z+5 and g(a) =+a + 5r +5 between z= -2 and z= 2.

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Q: Find the area of the region bounded by the curvesr = 2 cos 30 and x = y – 1.

A: The curves given are as follows: r=2cos3θx=y2-1 We know that x=rcos3θ, y=rsin3θ.…

Q: - Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12…

A: Here h = b-an = 12-04 = 3

Q: Find the area, if it exists, of the region under the curve on the given interval of the x-axis. 1…

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Q: Find the area under the curve y = cos 5t from t = 0 to t = π/3.

A: Given: fx=cos5t From, t=0 to t=π3

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

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Q: Q6 The area of the region in the first quadrent that is bounded by f(x) sin(2x) , and g(x) = cosx…

A: We need to evaluate the area of the region in the first quadrant that is bounded by the following…

Q: Find the area of the region bounded by the curve y = x³ – 2x² – x + 2 and the x-axis for -1 <x<2, as…

A: We will solve this question by using double integration. where,  y=0 and y=x3-2x2-x+2 and x lies…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.