Find the area under the curve y = la-2 from x = 6 to x = t and evaluate it for t = 10, t = 100. Then find the total area under this curve for x > 6. (a) t = 10 (b) t = 100 (c) Total area

Q: Find the area between the curve y = x² + 8x + 12 and the x-axis from x = -2 to x = 0. (Give an exact…

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Q: Find the area of the region that is enclosed between the curves a = y and x= y - 2 integrating with…

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Q: 38. Use numerical integration to estimate the value of dx. п

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Q: Find the area between y=x+2 and y= x2−1. Round your limits of integration and answer to 2 decimal…

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

A: we have to estimate ∫03x2dx using midpoints for n=4 approximating rectangles.

Q: Find the area of the region between the curves y = sin(x), y = sin(2x), x = 0, and x = t/2. Area…

A: Given curve is : y=sinx   .......(1) y=sin2x   ......(2) To find the area of region between curve…

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

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Q: Estimate | (2x – 5) dx using left endpoints for n = 3 approximating rectangles. %3D 5 (2x – 5) dx is…

A: Given: ∫152x-5ddx The left Riemann sum (also known as the left endpoint approximation) uses the left…

Q: Use the differential dV to estimate the change in volume of a sphere when the radius changes from 9…

A: ddxxn=n xn-1

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

A: First sub-part. a=1, b=5 and n=4△x=b−an=5−14=44So, △x=1 Now, sketch the graph and determine the left…

Q: Find the volume of the solid formed by rotating the function around the x-axis in the range 0≤x≤1.

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Q: Approximate the area under the curve graphed below from 2 = approximation with 3 subdivisions. 1 to…

A: We can solve this using riemann integral

Q: Find the total charge on the curve y = x43 for 8 < x< 27 (in centimeters) assuming a charge density…

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Q: Find the area enclosed by the curves f(x) = 33 - x² and g(x)=x². The area (rounded to two decimal…

A: The region bounded by the curves fx=33-x2 and gx=x2 The formula to calculate the area bounded by the…

Q: Find the survace area of revolution about the x-axis of y= 4sin(2x) over the interval x is greater…

A: Given: The curve y=4sin2x for 0≤x≤π2 To find: Surface area of revolution of given curve about…

Q: Find the area between y=2x+3y=2x+3 and y=x2−1y=x2-1. Round your limits of integration and answer to…

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Q: Use the right-endpoint approximation to approximate the area under the curve of f (x) + 1 on the…

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Q: Find the area enclosed by the given curves. 11) Find the area between the curve y = 6x/(1 + x2) and…

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Q: snow

A: Let's set up some notation for the problem ,  t = time measured  x(t) = distance the snowplow has…

Q: O Use differentials to approximate the increase in the area of a soap bubble when its volume…

A: Given query is to find approximate are increased.

Q: Find the area under one arch of the cycloid x = a(t-sint) , y = a(1-cost)

A: Introduction: A cycloid is a two-dimensional curve that is constructed with half circles. One arc of…

Q: Find the area enclosed by the curves below from x = 0 to x = 3 y = 33 cos(3x) y = 33 sin(3x) Area =

A: Given:- y=33 sin(3x) , y=33 cos(3x)  To find:- Area enclosed by curves from x=0 to x=π/3

Q: QD: Use total differential to find the percentage error in calculating the area that cut from a…

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Q: 12. Use integration to determine the average value of y = a² sin(b²x) between x = %3D 0 and x = b² *…

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Q: Find the area bounded by the curve f(x) = -x² + 10 and the x-axis. Give your answer correct to two…

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Q: 12. Use integration to determine the average value of y = a² sin(b²x) between x = 0 and x = b2

A: Let's find.

Q: In the diagram below, the region between the graphs of y=2 sin¬x and y=rx, in the first quadrant, is…

A: Finding the area of the shaded region

Q: Find the general indefinite integral. (Use C for the constant of integration.) csc-(t) – Se*) dt

A: First we distribute the integral  ∫7csc2(t)-5etdt=∫7csc2(t)dt-∫5etdt=7∫csc2(t)dt-5∫etdt

Q: Find the area of the “triangular” region in the first quadrant that is bounded above by the curve y…

A: Consider the provided curve,  Bounded above by the curve y=ex2 and below by the curve y=e-x2. And on…

Q: Sketch the region bounded above by the curve (9e^−x)*sin(πx), the x-axis, and x = 1, and find the…

A: We have to sketch the region bounded by the curve 9e-xsinπx, x-axis, and x=1, and also find the area…

Q: Find the area under the curve y = sin √x /√x between x = π^2/4 and x = π^2

A: Given function

Q: f (x) = x² and g(x) = 3x – x2 Зх — 3. Find the area between the two curves by integration.

A: We have to find area

Q: Find the area of a region between the z-axis and the graph of f(r) = r² – x² – 2r. Define the term…

A: Given function is f(x)=x3-x2-2x

Q: Graph the function y = -0.3x² + 1.5x over the interval [0, 6]. (0, 6] by (-2.25, 2.25] a. Integrate…

A: Given function y = - 0.3x ^ 2 + 1.5x over the interval [0, 6].   To find  a. Integrate y = - 0.3x ^…

Q: Find the exact area below the curve y = x°(1 – x) and above the x-ax is. %3D

A: y=x31-x Diagrammatic representation of the required area is,

Q: 25 dx Evaluate by dividing the interval into 8 equal parts 1 x2 +6x+ 10 by using Trapezoidal rule.

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Q: Find the area bounded by y = 0.5(x- 2)² – 1 and the X-axis from x-3 to x-5. Show the sketch with…

A: y= 0.5(x-2)2-10 =0.5(x-2)2-11 = 0.5 (x-2)22 = (x-2)2x - 2 = ± 2x =2+2    x~ 3.414orx =2-2x ~ 0.586

Q: 11. Find the area bounded by the curve y² + 2x - 2y - 3 = 0 and the y-axis.

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Q: Find the area bounded by the curve f(x) = -x² + 7 and the x-axis. Give your answer correct to two…

A: We have to find Area bounded by the given curve and x-axis.

Q: Find the area bounded by y2 = 4a(y - x), y2 = 2a(x + 2y – 3a) and the x-axis. Show complete solution…

A: To find the area:

Q: Q1/ Find the area of the region bounded by the given curve (y = x² - 5) and the curve (x = -) by…

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Q: 14. y= sin x with n 6. Round to the ten-thousandths place. on

A: The objective is to compute the area under the curve y=sinx on π4,π using 6 subintervals.

Q: Find the area the region lying between the x axis and the curve y=(ln(8x)-1)/x2 to the right of the…

A: Given curve is y=ln(8x)-1x2 Since region lying between x-axis and the curve to the right of the line…

Q: Find the area between the curve  y = x2 + 10x + 16  and the x-axis from  x = −2 to x = 1.  (Give…

A: To find the area between the curve y=x2+10x+16 and the x-axis from x=-2 to x=1. This is given by…

Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].

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

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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: Find the area (sq. units) covered by the line y = -Gx+ 3) from x1 = -8 to x2 = 0.

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Q: find the indefinity integral  x^9 dx

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