Estimate the area under the graph of f(æ) = 1 over the x2 + 4 interval [2, 6] using four approximating rectangles and right endpoints. Rn Repeat the approximation using left endpoints. Ln

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

A: ∫x1+x22 dx Put  1+x2=t⇒0+2x=dtdx⇒2x dx=dt⇒x dx=dt2 Therefore, ∫x1+x22 dx=∫dt2t2=12∫t-2…

Q: Estimate the area under the graph of f(x) = 2a? + 12a + 21 over the interval (0, 2] using ten…

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Q: Estimate the area under the graph of f(x)=x2−4x+9 over the interval [0,6] using eight approximating…

A: Given: The function is  f(x) = x2 - 4x + 9   over the interval [0, 6]   To determine: The area under…

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: Find the best estimate for the area under the curve f(x) = 2x² + 3x – 1 from 0 <x < 6 using Ax 2…

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Q: c) Estimate the area under the graph of f(x) = sin x from x = 0 to x = using four approximating…

A: Given function is fx = sinx x∈0,  π2 number of rectangles = 4 Step size  h= π2 -04   = π8 ⇒ h = π8…

Q: Consider the function f (æ) = –x² + 9. What is the left rectangular approximation of the area under…

A: Given:       fx=-18x2+9    Interval -6,6 with 6 equal sub intervals.   The left rectangular…

Q: 5. Find the area under the curve 2 dr - x2 9 – where 4 < r< 10

A: To find the area under the curve given by the integrand ∫29-x2dx where 4≤x≤10

Q: (a) Estimate the area under the graph of f(x) = 25 – x from x = 0 to x = 5 using five approximating…

A: Consider the equation as shown below: Here, the function fx =25-x2 And the object is to find the…

Q: Find the area under the graph of y = x² + l over the interval [-1, 2]. In this case, f(x) = x² + 1,…

A: area of graph within limits given by integrating function within limits

Q: Approximate the area under the curve y-f(x) between x=0 and x=10 using the Trapezoidal Rule with n=5…

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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: Estimate the area under the graph of f(x) = x² + 2x + over the interval (2, 4 using ten…

A: Rn = 34.28 Ln= 31.08

Q: Estimate the area under the graph of f(x)=1/(x2+2)   over the interval [3,7]using five approximating…

A: Given: f(x)=1/(x2+2)  over interval [a,b]=[3,7] and n=5

Q: O 1hr36mins X Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval…

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Q: Estimate the area under the graph of f(1) = I+ 31 +1 over the interval [-1,2] using five…

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Q: Let f(x)=-2x^ 3 +6x^ 2 -x+1, Use L 4 to estimate the area under the curve or the interval [- 1, 1]…

A: L4 is the left endpoint of the expression with 4 approximating rectangles.

Q: c). Find the area under the curve f(x) = 4x +2x over the interval (5,8)

A: Given,            fx=4x3+2x , the interval is 5,8To find : Find the area under the curve over the…

Q: Use integration by substitution to find the area under the curve                            y = 1 /…

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Q: Approximate the area under the curve y = 4 ln(x² + 11) from æ = – 15 to a = - 7 with 4 sub-…

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

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

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Q: Approximate the area under the curve f(x) on the closed interval [1, 3] with 5 circumscribed regular…

A: Given curve f(x)=x2+9x+10 interval 1,3. The objective is to estimate the area under the curve. Area…

Q: Estimate the area under the graph of f(x) = x² + 3x + 1 over the interval [2, 4] using ten…

A: Given function: fx=x2+3x+1 Interval: [2, 4]Number of rectangles = 10 To find: The area under the…

Q: Find the area between the curve f(x)=x^3−110 and the​ x-axis from x=1 to x=3.

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Q: Consider the function f (x) = ;x² – 6x + 4. - What is the left rectangular approximation of the area…

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

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Q: Find the area under the curve between x-2 and x=-1 for the curve f(x)=(7 – x²)d

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Q: Find the area under the curve f(x) =x+3x+7, above the X axis from x=4 to x=6.

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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: 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 curve y=4x2+1 on the interval [0,4], using n=4 using LRAM

A: Given curve y=4x^2+1 On the interval [0,4] using n=4 sub intervals LRAM : LEFT RECTANGULAR…

Q: Estimate the area under the graph of f(x) = 2x + 16x + 35 over the interval (0, 4] using ten…

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Q: Calculate the area between the curves: f(x) = x² + 31 and g(æ) = x + 73 over the interval of – 6 < x…

A: fx=x2+31 &amp; gx=x+73 The diagrammatic representation of the area is,

Q: Find the approximate area under the function f(x)=2.5-2sin(πx/6) using the four middlescribed…

A: From the given picture we see that the middle points are x=1,3,5,7 So we find the x values at these…

Q: Approximate the area under the curve y = 3 ln(x² + 20) from x = - 9 to z = - 1 with 4 sub- intervals…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Approximate the area under the curve defined by the function 8x^4 over the interval x = 0 to x = 3…

A: Given: f(x)=8x4 We have to find the area under the curve defined by the given function over the…

Q: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

A: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

Q: Approximate the area under the curve of f (x) = x² +3 from 0 to 4 using the Midpoint Rule with n =…

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Q: Find the area between y = ln x and the x-axis from x = 1 to x = 3.

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Q: Approximate the area under the curve graphed below from x = 1 to x = 5 using a Left Endpoint…

A: We get 4 sub intervals each of width 1 unit

Q: 3) f(x) = 2x + 5, on the interval [–1,4]. Use RRAM and five sub-intervals to approximate the area…

A: Note:  According to the guidelines issued by the company we should answer only one question, please…

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

A: Given We need to find the area under f(x) over the interval [1,3].

Q: Find the approximate area under the curve of f (x) =cos (5) from x = 0 to x = T, using 4 trapezoids.…

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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 the curve f(x) = −3x^2 + 3 and the x-axis over the interval [−1, 2].

A: Answer and explanation is given below

Q: Approximate the area between the curve J(x)=-x²+18x and the X axis on the interval 0, 18 |using 6,…

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Q: Consider the function f (x) = x² + x + 2. What is the maximum approximation of the area under the…

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Q: Estimate the area under the graph of f(x)=1/x+4 over the interval [−1,2] using five approximating…

A: The given function is f(x)=1x+4. Estimate the area under the graph of f(x)=1x+4 over the interval…

Q: Use the Left Endpoint method to approximate the area under the graph of the function f(x) = 9 In(æ³)…

A: Given interval is x=1 to 3 find out deltax using the interval △x=b-ana=1, b=3, n=8△x=3-18=14 Width…