3. Find the volume generated by revolving about the y - axis the area bounded by the curve y = sin x and the coordinate axes. Use circular disc method.

Q: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2…

A: We need to calculate the volume.

Q: If the area of the curve y = sinx from x = 0 to x = π is revolved about the y=axis i, what is the…

A: The given curve is: y=sin x      from  x=0  to  x=π

Q: 3. Given is the area in the first quadrant bounded by x2 = 8y, the x - axis, x = 4. What is the…

A: Equation of curves are:C1:x2=8y=x=8yC2:x-axisC3:x=4Sketch of the area in the first quadrant bounded…

Q: A/ Find the volume generated by revolving the area bounded by x = y-1 and y =5 around the x-axis?

A: We will find out the volume of solid of revolution by shell method.

Q: 4. Find the volume generated by revolving the area cut off from the parabola y = 4x - x² by the x…

A:

Q: 3. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

A: Given

Q: 5.) Find the volume generated by revolving the area bounded by the curve y2=4x, x = 0 about the line…

A: Given area is bounded by: y2=4x and x=0. The area is revolving around the line y=4. From y2=4x we…

Q: 6. Evaluate the volume generated by revolving the area bounded by the given curves using the washer…

A:

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x? = 8y,…

A:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

A:

Q: Find the volume generated by the area bounded by the parabola x = Vay , and the line y = b that is…

A: As per our guidelines, we are suppose to answer only one question. kindly repost the question as the…

Q: Find the volume generated by revolving the area bounded by y = 1 - x³, OX and OY about the x-axis.

A:

Q: . THe area enclased by the loop of the curved y= x (x - 3)° is Find the volume generated . revolved…

A: Here 1st we will find points where loop is formed and then shade the region bounded ,  To form the…

Q: Sketch the solid whose volume is given by ? ²-y 2-x-y Si ** dz dx dy

A:

Q: The area bounded by the parabolas y² = 4x and x² = 4y is revolved about the y-axis. Find the moment…

A: The given equation of the parabolas are, y2=4x and x2=4y.

Q: Find the volume generated if the area bounded by the curve x2 = y - 2 is revolved about the x –…

A:

Q: Find the volume generated if the area bounded by the curve x² = y – 2 is revolved about the x-axis.

A:

Q: Find the volume generated by revolving the area enclosed by the curve x^2 + y^2 = 25 about the line…

A: We will find out volume of solid of revolution.

Q: Find the volume generated by revolving the area enclosed by the curve x^2+y^2=16 about the y-axis.

A: here volume is ∫πy2dx here the limit is if we put y=0 in equation so x range from -4 to 4 so   V=…

Q: Find the volume generated by revolving the area under the curve y=e^x from x=0 to x=1 about the…

A: Volume of the solid obtained by revolving x=g(y) about x-axis is given by,                   V =…

Q: Find the volume generated by revolving the area enclosed by the curve x? + y? = 16 about ne y-axis.

A:

Q: The area bounded by the parabola ay = x2 and the line y = b is revolving around the x-axis. Find the…

A:

Q: Find the volume if an arch of y=sin⁡2x (bounded by the x-axis) is revolved about the x-axis

A: Volume of revolving  of y = f(x) about X-axis  Vol =∫abπ(f(x))2dx

Q: B. Find the volume generated by revolving the region enclosed by x - -y and y=x+2 about У-аxis. 20%

A:

Q: 1. Find the volume generated by revolving the first quadrant area bounded by the parabola y? 8x and…

A: Proceed as shown ....

Q: Find the volume generated by revolving about Oy the area in the first quadrant bounded by the curve…

A: Plotting the given function :

Q: Find the volume obtained by rotating the curve y = sin² x around the r-axis.

A: The volume of the solid formed by rotating the curve y=sin2x around the x -axis is given by…

Q: Evaluate the volume created under the curve y = sin a +3 from x = 0 to a = ™ when the curve is…

A:

Q: Find the volume generated by revolving the area enclosed by the curve x2 + y? = 9 about the x-axis.

A:

Q: Find the volume of the body resulting from the rotation of the given region by the following…

A:

Q: Find the volume generated by revolving the area enclosed by the curve x^2 + y^2 = 25 about the line…

A:

Q: Find the volume generated by the area bounded by the y-axis, the line y=1, and the arc of y=sin x…

A:

Q: FIND THE VOLUME GENERATED BY REVOLVING THE AREA POUNDED BY THE L'INES Xt y=6,x=0 AID y=0, about…

A: The Washer Method: The volume generated by revolving the area bounded by the curves y=f(x) and…

Q: 3. Find the volume when the part of the curve y = x + 1 between x = 1 and x = 2 is rotated through…

A: Here we have to find the volume when the part of the curve y=x2+1 between x=1 and x=2 is rotated…

Q: 3. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: (ii) Find the volume generated by revolving the curvey = sin x y = 0 in 0sxSA and ,about the x-axis.

A: Given curve is

Q: Find the volume generated by revolving the area enclosed by the curve x² + y = 25 about the y-axis.

A: We have the curve x2+y2=25 rotated about y-axis.

Q: Find the volume of revolution obtained by revolving the area bounded by x = 0, 16x? + 9y² = 144…

A:

Q: Find the volume generated by revolving the area enclosed by the curve x2 + y2 = 25 about the line y…

A:

Q: Find the volume generated if the area bounded by the curve x? = y – 2 is revolved about the x- axis.

A:

Q: and the x-axis. What is the volume generated by revolving this area by the у-аxis.

A: To find the volume about y axis

Q: Determine the volume generated by revolving the region in the first quadrant bounded by the curves…

A:

Q: Find the volume, if an area bounded by an asteroid I = cos t y = sin³ t ve y = -/I+x ,y-axis, and…

A:

Q: Find the volume generated by revolving the area bounded by   xy=4, x=1, x=4 and the x-axis about the…

A:

Q: Determine the volume generated when the area bounded by the curves y=sin(x) an y=cos(x) from x=0 to…

A:

Q: Find the volume generated by revolving the area enclosed by the curve 4y² = 4x²-x+ about the y-axis.

A:

Q: 2. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

A:

Q: 9. Find the volume generated by revolving the given plane area about the given line using the disc…

A: We are given two regions: (a) y=2x2, y=0, x=0, x=5 about x-axis. (b) x2-y2=16, y=0, x=8 about…

Q: Find the volume generated by revolving the area enclosed by the curve x2 + y? = 25 about the y-axis.

A:

Q: Find the volume generated by revolving the area enclosed by the curve 4y² = 4x²-x* about the y-axis.

A: Hint: First obtain the values of x for which y is zero to obtain the limits of the integration. Now,…