y = cosx 10. Flnd the volume of a rotor that occurs when a curve is و و و و و و و و و و و می rotated around the x-axis. VI VI

Q: Given the following Situation Function: y = 8-x Rotation: x- axis Interval: [0, 4] Fill in all of…

A: Volume by rotation is given by; v = π∫ab[f(x)2 - g(x)2]dx → Washer methodv = π∫ab(f(x))2dx →Disk…

Q: *® x'+yt+ 2" =4 r=2 coso , %3D Find the volume

A: We have r = 2cosθ and x² + y² + z² = 4

Q: x³ +1 Q3: Find the length of y=√x+2,1 ≤ x ≤ 7, Using ds = 1+²dy into the surface area of the object…

A: Find the arc length of y=x+2, 1≤x≤7 using the differential element ds=1+dxdy2dy. For formula for…

Q: For the curve y = f(x) = x², 0 < x < 2, its length is 2 dy` dx - {(aV17+ In (4 + v17). VI7). L 1+…

A: Apologies for the inconvenience. The correct solution is given below: Given that y=x2 Hence, dydx=2x

Q: H.w Find the volume ut bonded by 2-3x+3Xy the rectungle R-S(xiys i<x$3,0 ver

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Q: Q3/A/Find the surface area generated by rotating the curve y = cos h(x) about x axis for 0≤x≤1 www

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Q: The volume of a right circular cone of radius x and height y is given by V Txʻy. Suppose that the dy…

A:

Q: Determine the volume charge density, in pC/m3, at (3, -8, -2) if the electric field present in the…

A: In the given question we have to find the evolume charge density at the point(3,-8,-2) in the region…

Q: Find fne volume og the sohid öL taimed by rotading he region giren by y=*, yz0, x=, and =2 albant…

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Q: Compute the surface area generated by revolving  c(t) = (cost,sint) about the y−axis for 0≤t≤π/2.

A:

Q: calculate the area of the given region. The region between the x-axis and the cycloid parametrized…

A: Given: r(t) = (t - sin t, 1 - cost) for 0 ≤ t ≤ 2π

Q: Find the mass and center of gravity of the lamina bounded by the x-axis, the line x = 49, and the…

A: Given problem:- Find the mass and center of gravity of the lamina bounded by the x-axis, the line x…

Q: Find the surface area generated by revolving y = x^2 from x = 0 to x = 2, about the x-axis. a.…

A:

Q: Question 9

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Q: The volume of a right circular cone of radius a and height y is given by V : ' = ma²y. Suppose that…

A: From the given problem; The expression for the volume of the cone is: V=13πx2y And The volume of the…

Q: The volume of a right circular cone of radius a and height y is given by V 1 - TXʻy. Suppose that t…

A: We have to find out derivative

Q: 7. Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x =…

A:

Q: Q/ Find the Surface area generated by revolving y = 1 - 2² around the y-axis, ?0 <x <1 where

A:

Q: (a) Find the volume of the solid generated by revolving the curve 4x? + 9y? = 36 between y = 0 and y…

A:

Q: Évaluote the line integral I (xz+y²) ds along curve c defined the by ?(t) =

A: Given,∫Cxz+y2 dsr→t =9-t , 2t , -2t on 0≤t≤1

Q: A thin wire lies along the curve C:7(t) = vZti + v7tj + (4 – t²)k, 0 < t s 2. Find the wire's mass…

A: Given is c: r⇀(t)=2ti→+7tj→+(4-t2)k→…

Q: Suppose that a thin metal wire in the shape of a semicircle occupies the curve c, where c is the top…

A: Given a thin metal wire in the shape of a semicircle occupies the curve C, where C is the top half…

Q: Q.4: Find the volume of the solid generated by revolving the region between the parabola x = (y –…

A:

Q: The volume of a right circular cone of radius x and height y is given by V = 1 T2ʻy. Suppose that…

A:

Q: 1. The hy per bola x²-y² = a² revolves about its transverse axis. Find the volume of a segment of…

A:

Q: The volume of a right circular cone of radius x and height y is given by V=1/3πx2y. Suppose that the…

A:

Q: Calculate the total mass of a metal tube in the helical shape r(t) = (cos(t), sin(t), t2) (distance…

A: We have given; The mass density and

Q: Find the moment of mass from the x-axis for y = x ln(x) - 3x and y = 1 bounded by x = 3 and x = 6.…

A:

Q: Find the moment of inertia of the area bounded by the parabola y^2 = 4x, x-axis, and the line x = 1,…

A: Given

Q: The volume of the solid that results when the region enclosed by the curve y = e*, y = 0, x = 0, x =…

A: To find the volume of the solid

Q: What is the volume of the solid formed by rotating the region about the x-axis y = x2 and y = 2x +…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: ind the volume, V, of the solid formed, when the part of the curve y= r² , is rotated about the…

A:

Q: Calculate the integral | (y? + 2?)dx + (2? + a² )dy + (x² + y²)dz where C is the curve intercepted…

A: C is the intersection of two surfaces : x-r2+y2=r2z2=2R-xx The coordinates will be :…

Q: The volume V generated by the revolution of the curve y= f(x) about the x-axis between x = a to x =…

A: We have to find the volume V generated by the revolution of the curve y = f(x) about the x-axis…

Q: The area enclosed by the ellipse (x²/9) + (y²/4) = 1 is revolved about the line x = 3. What is the…

A: We first sketch the region using a graphing calculator

Q: Q:3: a) Find the surface area of the object obtained by rotating x=e2y, -1sys 1 about the y-axis.

A: Since you have asked multiple question, we will solve the first question for you.  If you want any…

Q: The volume of a right circular cone of radius x and height y is given by V Te*y. Suppose that the dy…

A:

Q: Hn obfect Is moving along the X- axis with acceloration givon by at) =Q +42zt. TF V l0) =1 and…

A: Given query is to find the displacement function for the acceleration given.

Q: Find the yacral Selution Sulution 2. d 2. dy +y=D0

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Q: t.x:11] find the volume generated from rotate the Сигие y = 20- _X², about y-axis. Draw this 60…

A: Consider the curve y=20-x260 The curve is rotated about y-axis. Now,…

Q: Find the volume of the solid of evolutiton formedl by roiating abourt the y-axis coch rea bunded bu…

A: The formula for calculating tha volume of solid of revolution by rotating the curve f(x) about…

Q: Find the volume trapped between the cone z = 2 – Vx² + y² (upper) and the paraboloid z = x² +y².…

A: We need to find volume.

Q: Q2:A) find the volume generated from rotation between curves : y = tan(x) y=1 and the interval (, )…

A: The volume of a solid obtained by rotating the region between the region y=f(x) and y=g(x) from x=a…

Q: Given the curve z = √a² - y² over the interval 0 ≤ y ≤a/2, f d the surface area of the solid formed…

A:

Q: V1+ e" about the Calculate the surface area of the solid obtained by rotating the curve y x-axis for…

A:

Q: the surface area generated by revolving c(t) = (cost,sint) about the y-axis for 0 ≤ t ≤ π 2.

A:

Q: Q8) Find the volume generated when the arca bounded by: y = ei, y= e and x = 21n2 is rotated about…

A:

Q: (a) Find the volume of the solid generated by revolving the curve 4x2 + 9y = 36 between y = 0 and y…

A: I have given this answer in step-2.

Q: valus

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Q: What is the volume of the solid of revolution that arises when the function f(x) = V1 – x in the…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.