Answered: I The region formed by y = 3x - ³y = 2,…

I The region formed by y = 3x - ³y = 2, and y-axis is revolved around the y-axis. Find the volume. (Shell method.) Now suppose the region is revolved around the line z = 7. ti

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

See similar textbooks

Related questions

Q: If f is a differentiable function and f'(x)=x4 point at =x²+2x³ - 15x²2, then f has an inflection 3

Q: (b) Find the co-ordinates of the turning points of the following function: y = 3x4 - 16x³ + 24x² -…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: If f is a differentiable function with derivative 1-x x²+1 intervals is f concave up? f'(x) = 3 then…

Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

Q: 1. Consider the following vectors a= [1, 3, 2] & b = [-2, 2, 1] a. Draw each vector on a grid b.…

A: a→=1,3,2 ,b→=-2,2,1

Q: cuny.edu/webwork2/tren/calculus4-2s/5/ Previous Problem a) b) S Problem List A graph of f(x) is…

Q: If f (x) = √x² - 6x +10, then what is the derivative of f at x=3 ? Round to the nearest tenth.

A: If fx=x4-6x+10, then to find the derivative of fx at x=3.

Q: Solve the given differential equation by separation of variables. (ex + 1)²e-y dx + (ex + 1)¹e-x dy…

A: We need to solve (e^y+1)^2 e^(-y)dx+(e^x+1)^4 e^(-x) dy=0.

Q: part d please

Q: 7. Given = [-4,4, 4] and = [-5,6, 2] find a. 2 + b. u ● V c. XV d. lul 4

Q: The Equilibrium Price is $19 is wrong

Q: II. Find a vector parametrization and parametric equations for the line with the given description.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Σ(-1)" √TI 2n + 3

Q: y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' + 2xy² = 0. Find a…

A: y=1x2+c is a one parameter family solution of differential equation: y'+2xy2=0.Initial condition…

Q: Show every step to solve the problem. Solve question subpart D ONLY.

Q: Work of 3 Joules is done in stretching a spring from its natural length to 19 cm beyond its natural…

Q: A spherical balloon is being inflated Find the rate at which its volume V is changing with respect…

Q: Find an equation of the tangent plane to the given surface at the specified point. z = ex-Y+5, (1,…

Q: f(t) = t sin(at) 14. f(t) nat

Q: Write the trigonometric expression as algebraic expression in u. cot(cos^-1u)

A: We have to write the trigonometric expression as algebraic expression in u. cot(cos^-1u).

Q: 1 The equation of the line that goes through the point (7, 9) and has slope can be written in the…

A: The equation of a straight line passing through the point x1,y1 and having slope m is given by…

Q: Quadratic equations are not nol in the form f(x) = ax²+bx+c to find (h, k). Begin by completing the…

Q: Draw the graph of the parametric curve defined by x(t) = 6 cos(t) and y(t) = 6 sin(t) below.

A: To draw the graph of the parametric curve defined by xt=6 cost and yt=6 sint.

Q: Determine which graph corresponds to the area enclosed by the curves y = 4x² and y = x² + 7. O O ú 6…

A: To determine the graph that corresponds to the area enclosed by the curves y=4x2 and y=x2+7. To…

Q: 3. Compute the area bounded by the three leaf rose curve given by r(0)=5sin30. Compute the area…

Q: 3. Solve initial Value Problem f'(x) = x+^ f(1) = 0

Q: Answer the following questions for the given polar equation. equation: 7-2-2 sin 0 1 Fill in the…

Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2) Given function z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

Q: Find a vector equation of a plane having x-intercept 4, y-intercept -1 and a z-intercept of 5.…

A: The x-intercept is 4 The y-intercept is (-1) The z-intercept is 5 So they can be written in ordered…

Q: The growth of a colony of bacteria can be described by exponential growth. If the colony initially…

A: Pt=P0ert⇒P0=initial population⇒r=Growth rate⇒Pt=Population at time t⇒t=time in hours

Q: Use the chain rule to find and, where First the pieces: дz ?х ?х дя ду Əs = дz Ət || = And putting…

Q: Given f(x) = 3x + 7 9x² 5 A) Find lim f(x) ° x→∞ B) Find lim f(x) ° x118

Q: The integral J W 6 3t 1 + 9t² 1 By substitution we have 3 18 1 + 9t² dt can be rewritten as In(1 +…

A: Given:

Q: Use polar coordinates to find the volume of the solid below the paraboloid z = 50 - 2x² and above…

A: Here we use the polar coordinates;

Q: дz əz Use the chain rule to find and Əs at z = (x - y)², x = s²t, y = st² əz as əz at || =

Q: The region bounded by f(x) = -3x² + 18x + 81, x = ( volume of the solid of revolution. Find the…

Q: f(x) = √√/x = -²x³12 about the x-axis for 1 ≤ x ≤ 3. .3/2

Q: When a body is freed from a FIXED SUPPORT, what support reactions must be used to replace the effect…

A: This is question of support reaction Here fixed support is given And free body diagram related we…

Q: company has revenue function R(x)=8000x-40x2-x3 (in dollars) wehre x is the number of items sold. A…

Q: Find the point, P, at which the line intersects the plane. x = -7 +4t, y = −5+8t, z = 7+ 5t;…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

Q: Find the angle between the vectors a = 7i- j - 5k and b = 2i+j - 10k. Answer (in radians): 0

A: given a=7i-j-5k and b=2i+j-10k

Q: Find h'(t) if h(t) = h' (t)= 6 1/6 6 5/7

A: We have to find firse derivative of function h(t).

Q: (b) J 32+3 22²-2-1 dx

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

Q: Use implicit differentiation Find dy at the point (1, 1) for 7x² + 4y³ + 6xy = 0. dx 10 9 10 to find…

A: given 7x2+4y3+6xy=0 , point is (1,1)

Q: +(Bot + B₁) cost, provided that sint and cost are not solutions of the homogeneous equation.…

Q: Using the definition of the derivat to find the derivative of the following function. f(x) = x² ;…

A: a) f(x)=x2 b) f(x)=1/2 c) f(x)=sqrt(x) Find the derivative by definition. According to bartleby…

Q: a) lim (-2x¹) = 8118 ) lim (-2x¹) = xx ) lim -√x = 118

Question

100%

+
The region formed by y = 3x - ³y = 2, and y-axis is revolved around the y-axis.
Find the volume. (Shell method.)
Now suppose the region is revolved around the line x = 7.
+
Find the volume. (Shell method.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information and formula used

VIEW

Step 2: The volume of solid when region is revolved around the y-axis

VIEW

Step 3: The volume of solid when region is revolved around the x=7

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the exact volume of the solid that results when the region bounded in quadrant I by the axes and the lines x=9 and y=5 revolved about the a x-axis b y-axis
+ The region formed by y 3x x³, y = 2, and y-axis is revolved around the y-axis. 3 = Find the volume. (Shell method.) Now suppose the region is revolved around the line x = 7. F Find the volume. (Shell method.)
In the following diagram, the points A and B lie on a circle centred at the origin, and are connected by a line segment. B = (0,5) The shaded region, between the line A = (-4,3) 3 segment and the quarter-circle, rotates about the x-axis. Find the volume of the 2 resulting solid. Show your work. -6 -5 -4 -3 -2 -1
Find the volume of the solid generated by revolving the region bounded by the graphs of y = 2x + 1 and y = 2x+ 10 about the x-axis. %3D The volume of the solid generated by revolving the region bounded by the graphs of y = 2x +1 and y = 2x+ 10 about the x-axis is cubic units. %3D (Round to the nearest hundredth.)
Find the volume V of the solid obtained by rotating the region enclosed by the graphs of y = 18 – 2x, y = -6 +4x, and x = 0 about the y-axis. (Express numbers in exact form. Use symbolic notation and fractions where needed.) V =
Find the area of the shaded region. y y = x² 8 3y=2 x+ 16 (1, 6) 6. 4. (2, 4) (-2, 4) y = 8-2x -4 4 2) 2.
Find the volume generated when the region between the curves is rotated around the given axis. Use both the shell method and the washer method. Use technology to graph the functions and draw a typical slice by hand. Answer exactly. Between the curves of y = 3x, a = 0, and y = 3 rotated around the y-axis. units Preview TIP Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Get Help:
Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the curves about the given axis. y = 2x² + 12, y = 16x - 2, y-axis (Express numbers in exact form. Use symbolic notation and fractions where needed.) V =
Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the curves about the given axis. y² = x-¹, X = 1, (Express numbers in exact form. Use symbolic notation and fractions where needed.) V = X = = 6, axis y = -6
Please write the complete solutions legibly. Upvote will be given! The region bounded by y = 4/x and y = (x-3)2 is to revolve about the x-axis. What is the volume generated? Round your answer into 2 decimal places.
Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the curves about the given axis. y = 3x² - 3, y = 6x - 3, axis y = 11 (Express numbers in exact form. Use symbolic notation and fractions where needed.)
R is the region bounded by y= sqrt x , and y= 6-x and the vertical y-axis. Q is the region bounded by y= sqrt x, and y=6-x, and the horizontal x- axis. (They Intersect at (4,2) ) Write an expression that gives the volume of the solid formed by rotating R around the horizontal line y=-2