Question 2 At what value of the parameter b (b 1) the area under the curve y= c on the interval (1, b| is equal to 1?

Q: problem in photo attached

A: We have given the curves

Q: ona Question 26 Determine the volume of the solid generated when the area bounded by y = sin x;…

A: The volume of revolution about x-axis is: V=π∫y2dx

Q: Is Area = ∫βαf(x)dx∫αβf(x)dx as positive, negative or zero? positive negative zero

A: Here in first graph we had shaded the area under this function as given below in figure : So from…

Q: 35. Choose the integral which represents the area between two curves given on the picture. 2- 1…

A: To choose the integral which represents the area between two curves given on the picture.

Q: 3. Consider the graph of y = ln (x) + 1. Calculate the area enclosed by the curve y= ln (x) +1 and…

A: The region is bounded by y=ln(x)+1 and the y-axis between the lines y=1 and y=2

Q: a. Find the intersection points of the curves y=x2+3x,    y=2−4x2:   x1=     ;   x2=      x1<x2.…

A: Given: Equation of two curves,          y=x2+3xy=2-4x2 Objective is to  find the point of…

Q: The diagram below shows the curve with equation sin 0 <I< 2n. The shaded area A is the area under…

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Q: QUESTION 2 Answer the following information about approxmating the area under a function over the…

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Q: 3. Draw the graphs of the given functions. Find their points of intersection. Find the area bounded…

A: Given: To graph: The given function. To find the point of intersection. And to find the area…

Q: Question 1 Express the area below the curve y = x + 15 between 2 and 3 as an integral a= b= f(x) =…

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Q: ind the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: y=2x-tan (0.3x), x=1, x=4, y=0 Area of the region is  A=∫14(2x-tan(0.3x))dx  = x214 -∫14tan(0.3x)dx…

Q: Inside r, = 3 sin x but outside r, 1+ sin x

A: This is a problem related to area calculation by integration. Based on the given graph we will…

Q: 3 sin 0 and outside the curve 5. Find the area of the region that lies inside the curve r = r = 2 –…

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Q: R is the region bounded by the functions f(x) = 1 - 3 cos (x) and g(x) = 4 sin (x). Find the area of…

A: Given: The region bounded by the functions fx=1-3cosx and gx=4sinx on 0,π2 To find the area of the…

Q: Question 21 Let us calculate uie area of the closed region bounded by y - 4y -x and y=x+4. The first…

A: The region bounded by the given curves is:

Q: 1) Find the area enclosed by the given curves y region first. Show all your work for full credit.…

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Q: y= f{x) A a Figure 2.1

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Q: Sketch the graph of f(x) = x 2 + 3. Shade in the region for which the integral 1 to 3 (x^2 + 3) dx…

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

Q: -0.4x Find the area between the curves y and y = 1.4x + 1 from x=0 to x=1 = e Area =

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Q: Question 5 Estimate In(-x)dx by using a left-hand Riemann sum and 3 subintervals. Complete the table…

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Q: Find the area of the surface formed by revolving the graph of f(x) = sin x on the interval [0, |…

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Q: y 2 x 2 0 impending y = - curve,x = 0 and x = y calculate the area of the region between the lines…

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Q: 1. Given the function f(x) a. Graph the Function. b. Find f'(x). -(x-10); c. Find the equation of…

A: As per our guidelines, I can answer maximum three subparts of a question. To know rest, please…

Q: Question 3 Evaluate the double integral. 2x sin ydA; R is the region that is bounded by y = x, y =…

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Q: a. Find a curve with a positive derivative through the point (0, 1) whose length integral (Equation…

A: Given  Arc length L=∫121+1y4dy Know L=∫ab1+dxdy2dy

Q: curve r = 5 cos(30). Set up an integral for finding the area that it encloses. de

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Q: Find the area between the curve and the x-axis over the indicated interval. y =: (1, 7] The area…

A: From the given statement, the curves are y=3x  and x-axis and the interval is 1,7.

Q: Which of the following integrals correctly calculates the area of the region bewteen the x-axis and…

A: For the x - axis, the curve is y = 0. Plot the curves y =0 and y=x^2-2x-8. Assume the upper curve y…

Q: Question 4 The graph below shows the function y = Vr2 - x2 Use integration to evaluate the volume of…

A: Volume of a sphere can be obtained rotating the half circle graph of the function

Q: Question 2 Determine the area of the region bounded by y= sin(x) and y=2cos(x) from x = 0 to x = T.…

A: Given curves  are y=sin(x) y=2cos (x) From x=0 to X=π

Q: Question 1 Estimate the area of the curve y = x from x = O to x = 3 by using 6 rectangles and left…

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Q: 1. The region is bounded by x =-(y-1)² +4 and y =-x-1. a) Find the area of the region bounded by…

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Q: x - 12 Find the area bounded by y = x²1x56 (Round the answer to four decimal places.) x = 5, x = 6,…

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Q: x+1 . Find the area under the curve y = for x 0 to x 2. + 4 %3D

A: NOTE: Refresh your page if you can't see any equations. . here we have ...............given…

Q: Question Use Simpson's rule to estimate (3x + 7x) dx using 4 subintervals. Enter an exact value.…

A: Solution: The Simpson's rule uses parabolas to approximate the area:…

Q: The curves f(x) = 3-x² and g(x)= e²-1 are shown in the figure. Let R be the shaded region bounded by…

A: The area(A) bunded by the curves: x=p(y) and x=q(y) in the interval: a≤y≤b is calculated using the…

Q: 6.) value of sec o if tan o = - and o is quadrant II )3y +1<ytS whait is the integral Valne of y

A: Question no. 8,Given,            tanθ=-53 and θ is in quadrant II.To find : secθ

Q: a) A function is given by f(x) = 5x³ -6x² +x -e*. Find the slope of the tangent line to this curve…

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Q: 3. f(x) = -x³ + 2*, with 0 <x< 2. a. Approximate the area under the curve using the Midpoint Rule…

A: Answer is mentioned below

Q: 5. The graph of y = Vx + 3 between x = 1 and x = 4 is rotated about the x-axis. Find the resulting…

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Q: • Question 29 Find the area of the region enclosed by y = 4.5x and x 5- y?. %3D %3D 2- +2 Use…

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Q: Question 5 Not yet answered Marked out of 2.00 P Flag question 1 2x dx by taking n = 4. 1+x? Use…

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Q: The “arc length function” for a curve y = f(x), where f is an increasing function, is s(x) = √(3t +…

A: Arc length of a function f(t) from t=0 to t=x is∫0x1+f'(t)2dt         ⋯(1)

Q: a. Find a curve with a positive derivative through the point (1, 1) whose length integral (Equation…

A: To find curve satisfying the given conditions.

Q: Question 4 (a) Calculate the following: i. the area of the region in the first quadrant bounded by…

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Q: Q No 1.(a) Find the area enclosed by the curve y = V, the tangent to the curve at x = 4 and y axis.…

A: Area enclosed is the bounded area between the graphs for given curve. Required area can be easily…

Q: Region A, as shown in the picture, is bounded by curves: • x²+y?=2 • x=sin((pi/2)y) setup the…

A: Looking at the graph: We have four parts- 1. In quadrant 1 below green lines      2. In quadrant 2…

Q: dx Sine i) S i) S -de Cos20+1 1+16x2 b) Evaluate the integrals using Part 1 of the Fundamental…

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Q: The fowling is an area under a curve based on trapezium rule. Trapezium Rule Area = +2(y- b-a where…

A: Let dx is the length across x axis while considering a series of rectangles of width dx  and…