Ques Let R be the region bounded by the curves y = 4x-8, a = 0, y = 0, and y = 5. Let S be the solid generated by revolving R about the line y =7. Use the shell method to compute the volume of S.

Q: and stra ight and x : 8 Let R be an area enclosed by a curve. : 1 Using the cylindrical shell method...

A: Given problem:- Let R be an area enclosed by a curve. X =4√y and straight line y=1and x = 8 Using th...

Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

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Q: Solve using variation of parameters or reduction of order (D² + 1)y = sec*x

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Q: Find the given 5x? cos 2x dx. Using this: "uv – f v du"

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts take 

Q: 5. ( + v?Va? +y?) dx – xy /a? + y? dy = 0

A: I am attaching image so that you understand each and every step.

Q: Find dy of Using first principles

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Q: Using integrating factor, solve dy/dx + 4/x . y = x

A: topic. - differential equations

Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

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Q: f(x) = x2 + 1 %3D 2.

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Q: Setup an integral to find the surface area obtained by rotating the curve y = e about the line y = 1...

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Q: y(2x³ -x²y + y³)dx – x(2x³ + y3 )dy = 0

A: y2x3-x2y+y3dx-x2x3+y3dy=0

Q: Choose among the following suitable to define the given integrations: Sx sin x² dx By parts, the red...

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Q: Evaluate the definite integral. Round your final answer to three decimals. 53 298, 512 dt t3 Vt? – 3...

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Q: f (x) = -|x| – 14x³ + -2x3 | g(x) Vx²+1

A: NOTE: Refresh your page if you can't see any equations. . substitute -y for y here both sides ar...

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: 18. If x? – xy + y? = 3 find y" (second derivative) %3D 18 12 12 18 В. (x – 2y) C. (x – 2y)² A. D. (...

A: Given:- x2 -xy +y2=3 To find:- y'' 

Q: 1. Find all possible points of discontinuity and classify each discontinuity as removable, jump esse...

A: Let's find. 

Q: y Iny Ae^+ Bex

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Q: A topographic globe has a radius of 33 cm. Find the volume of this sphere. Use n 3.14. ... The volum...

A: Given query is to find the volume of the sphere.

Q: solve for the orthogonal trajectories y2 = 4x2 (1- kx)

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Q: find the diff eq. of the family of curves described. draw atleast 3 members of the family. all circl...

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Q: https://www.zweigmedia.com/RealWorld/calctopic1/contanddiff.htm 8. At which value of x does the grap...

A: From graph  8)There is a removable discontinuity at x=-2 9) There is infinite discontinuity at x=1 1...

Q: Evaluate the integral : 8x²+10x-6 S (x–1)(x+1)? dx (x-1)(x+1)² +C

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Q: Q3/ Find the root of the equation 2x5-2x-1=0 use simple iterative method start with Xo= 0.000

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Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

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Q: 4. Calculate the volume of the solid obtained by rotating the region bounded between y = -x and y = ...

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

Q: method of undetermined coefficents when x-0, y=0, Y=0 V Solve using 3X (D4 4D +5)y z 13e +50x

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Q: Solve the differential equation: (2x-y+2) dy + (x-2y+4) dx =0  Please also state which or the follow...

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Q: 2x +x sin 3x lim 5x² -2x+1

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Q: Find A-x) and determine whetherfis odd, even, or neither. 4) f(x) = 4x - Sx4 4)

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Q: 4.x (a) lim 10 sin 5x sin() (b) lim 5x sin 3x (c) lim 10 x2 tan 2.x

A: Read the following instructions once 1. Short method is provided at the end of the subpart (c) 2.sin...

Q: x-y Differentiate- — х+ 2. y+x2 1-у-3x2-4х 3y2+x+2 1-х+3у?-4х Зу2+x+2 a. y' b. y' =

A: Given query is to find derivative of the expression.

Q: 1 find d'y dx3 Suppose y = X-1 x+1 A. 4 4 4 C. 4 (x + 1)6 (x – 1)6 (x + 1)6 * (x – 1)6 В. 6 6 6 D. (...

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Q: lim g(x) =, lim g(x) ; lim g(x) 1. -1- 34 2. g(-1) = 2- 3. lim g(x) = lim g(x) = ;lim g(x) = x0- 1. ...

A: Topic = Limits

Q: Determine the slope and the y-intercept of the line. 1) 6x - 5y = 4 1)

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Q: Consider the following. y = x2 - 4x + 2

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Q: se the Chain Rule to find the indicated partial derivatives. z = x4 + x2y,    x = s + 2t − u,    y ...

A: The given function is: z=x4+x2y,       x=s+2t-u,       y=stu2

Q: Use shell method to determine the volume of the solid of revolution generated by revolving R about t...

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Q: Find the solution to the quadratic equation. (a) a - 4x + 1 = 0 (complete the square) (b) (3x – 1)2 ...

A: We complete the squares of given quadratic equations and solve for x  When take the square root on b...

Q: C. . Solve the initial value problem: 2xydx + (2y2 – 3x²)dy; y(0) = –1.

A: C is homogeneous Differential equation

Q: Graph the function. for -4 <x<-2 for -2 sx<3 5) m(x) = {x V -3 for x23 -10 4 4

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Q: 5x - lim X-00 Vx2+4

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Q: (x2 - 1) dy = ((1 + x)? - 2y) dx %3!

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use the price-demand equation below to determine whether demand is elastic, is inelastic, or has uni...

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Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/...

A: We want to find rate of change of area of circle. 

Q: Use the indicated x-values on the graph of y = f(x) to find the following. с d e f Find intervals wh...

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We need to find the differential equation of the family of the plane curves described below: Family ...

Q: Find equations of the tangent line and normal line to the given curve at the specified point. (1. ) ...

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Q: Determine the exact values of the six trigonometric functions of the angle 0. (a) (15, -8) sin(0) = ...

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Q: y + Jx? +yz dx = xdy when x-13', y=I when x=J3, y=| 4.

A: Homogeneous differential equation : A differential equation of the form f(x,y) dy = g(x,y) dx is sai...