orthe volume of the sold obtain by rotating the reglon endeosed by the curves y 2- and yo about the vertical ine x=k (kco) ls 15 , then k 128 15

Q: A 1.5-mm layer of paint is applied to one side of the following surface. Find the approximate volume…

A:

Q: The curve y = x² + 4 is rotated one revolution about the x-axis between the limits x = 1 and x = 4.…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Using Trapezoidal method spaces) 1 2 dx for n=4 is equal to Blank 1 (use 2 decimal places with…

A: Given problem:-

Q: nd the volume of the solid obtained when the region above the x-axis, bounded he x-axis and the…

A:

Q: Consider the region between the functions y = f(x) = /x and y = g(x) = x' on the interval (0,1).…

A:

Q: Find the area of the surface generated by revolving x =t+ 6, y= + V6t+3, - 6 sts v6 about the…

A:

Q: Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x…

A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line…

Q: The curve C is the portion of the graph of y = 16 for 0sz5 2 (distances measured in m). The curve C…

A: The function given to us is as follows: y=116x4⇒x4=16y⇒x=2y14 Where, 0≤x≤2. For x=0,  y=0. For x=2,…

Q: -) Findl the region endosed R by the curves you2-2x +1 and y=-x²+2. +7 b) Use shell method to find…

A: Given curves : y=x2-2x+1 and y=-x2+2x+7 Find the region enclosed R by the curves  Hence by using…

Q: A water tank has the shape of the solid formed when the region bounded by y = and the y-axis for 0 <…

A:

Q: The area enclosed by the curve x2 +y² = 25 is revolved about the line x -10=0. Find the volume…

A: Given curve is  x2+y2 =25 This is equation of a circle of radius 5 and center at (0, 0). Line x = 10…

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A:

Q: H.W : The region bounded by the curve y= x² and the line y=3x is revolved about a) x-axis b) y-axis…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: A 1.5-mm layer of paint is applied to one side of the following surface. Find the approximate volume…

A: Given the curve y= sort 40x-x^2 interval 1&lt;= x&lt;=5 Layer of paint 1.5 mm We will find the…

Q: a) Find the point of intersection of the two curves, y = x² and y = 2* + 1. %3D For part b) through…

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

Q: The Plat circular plate has the shape af the region x+y<1. The plate including the boundary H.w…

A: Given: The circular has the boundary region x2 + y2 = 1 The function of the temperature is T (x, y)…

Q: Find the area of the surface obtained by rotating the curve y = about the x – axis from the point 1…

A:

Q: 40–43. Regions between curves Sketch the region and find its area. 40. The region bounded by y = sin…

A: We’ll answer the first question (Question 40.) since the exact one wasn’t specified. Please submit a…

Q: u =x²- 2x x2-2x curve i how oany. unit sq uares .s the the Line x=3. and the area of the are a…

A:

Q: roblems ) Prove that the Point P(1,-1) is e minimum Point of the curve y=lnx (2) Find J み -リニx(lue)…

A: Explanation of the solution is given below...

Q: A ring in the shape of the curve x + y = a² is formed of thin wire weighing |x|+ |y| grams per unit…

A:

Q: 10 L' M' -10 10 K K -10 Which rule yields the dilation of the figure KLMN centered at the origin? A)…

A: From the graph we can see that the coordinates of - L=(-10,4) , L'=(-5,2) M=(-4,4) , M'=(-2,2)…

Q: A Flat Circular plate has the shape of the regioin x? + y= 1. The Plate, ncuding the boundary where…

A: In this question, we can find where the temperature is maximum or minimum. Firstly , we can find…

Q: The region R in the first quadrant is bounded by y = 10 sin y = 10(x – 2)² and y = 8x + 2, and…

A: Here red line stands for 10sin[(pi/2)x] Blue line stands for 10(x-2)^2 Green line stands for 8x+2

Q: A-Graph the cylindrical surface of the function: 4x² + 4y2 = 36 for(-4 ≤z≤ 4). B- Without using…

A:

Q: 37 Consider the curve given by the equation f(x)=2-x'. a. Sketch the region bounded by the curves…

A:

Q: 37 Consider the curve given by the equation f(x)=2-x'. a. Sketch the region bounded by the curves…

A: (a) The formula to determine the region bounded by the curve is, A=∫x1x2fx-gxdx The sketch for the…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A: To find: The area of the surface generated if the curve y=6x-2,  1≤x≤2 about y- axis. Concept used:…

Q: Find the work done by F= 4xy°i+ 7xy°j in moving a particle once counterclockwise around the curve C:…

A:

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 5- 9 F:Xq =…

A: Use formula about x axis and then integration

Q: The volume of the solid generated by the curve y = e, between a = 2 and x 8 about %3D the a - axis…

A:

Q: A thin plate is bounded below by the x-axis and above by the curve y = 4/x from x =1 to x = 9. The…

A:

Q: volving the curve x=2in the interval =ys In 7 about the y-axis. e area, S, of the surface is given…

A: In this question, the concept of the surface area of revolution is obtained. The area of the Surface…

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Using shell method, volume is evaluated.

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A:

Q: 1. Let a be a positive number. Find the surface area of the solid obtained by revolving the curve…

A:

Q: x' with 0 Sxs is rotated about the x-axis. Find the area of the resulting The curve y= Va surface.

A:

Q: x = In (sect + tant)- sint ';osts ;0<t< about the x- axis 3 b) cost

A: We have to find the area of the surface

Q: 4. Find the volumes of the solids obtained by rotating Vx and the region bounded by the curves y= y…

A: a) The graph will be

Q: a) value of a. b) area of the shaded region. c) volume generated, in terms of a when the region…

A: In this question, we have to find the intersection point between two curves  and in the second part…

Q: Find the volumes of the solids obtained by rotating the region bounded by the curves y=√√x and y=x²…

A:

Q: Consider the region between the functions y = S(x) = Vx and y = g(x) = x' on the interval (0,1).…

A: Given  A region bounded by the graphs of f(x) = √x and G(x) = x³ We need to find the area of the…

Q: 25, (x, Y) 4. A fence is built with posts arranged in the xY-plane along the quarter circle x- +?…

A: Given

Q: area of the region bounded by the curves 8x =y³ and 8x = 2y³ + y² – 2y is ct one: a. 37 96 b. 4 C. 9…

A: We have to choose the correct answer from the given option

Q: a. Find the center of mass of a thin plate of constant density cov-ering the region between the…

A: (a)Given information:

Q: The surface of a machine part is the region between the graphs of y1 = |x| and y2 = 0.08x2 + k. y2…

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A: The curve y=4x-6, for 52≤x≤92 rotated about y-axis we have to find the surface area of the solid

Q: A 1.5-mm layer of paint is applied to one side of the following surface. Find the approximate volume…

A:

Q: find the volume . The solid lies between planes perpendicular to the x-axis at x = pai/4 and x =…

A: Given: The solid lies between planes perpendicular to the x-axis at x = pai/4 and x = 5pai/4. The…