Use the method of cylindrical shells to find the volume of the solid formed by revolving the region bounded by the graphs of x=2y^2 and x=y^2 +1 about the line  y=−2.

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Q: a) Find the inverse of the function. b) Sketch the graph of f (x) and f-1(x) on the same Cartesian p...

A: Given:  fx=-lnx-10 To Find:  a To find the inverse of the given function.b To sketch the graph of fx...

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A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line y=2-2...

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Q: If y 3x-5, then find the tangent and normal equations X=3 %3D

A: First we find slope of line.  Then equation of tangent is         y-y0 = m (  x-x0)  For normal equa...

Q: 3ズる一と find dx dy 17 x° +

A: Answer: As per guidelines we can answer only 1 question so i had answer Q17 below :    

Q: 1. Evaluate the following limits. x² + 3x+ 2 lim, →-1 x' +4x +3 2 а. х? — 2х lim,→2 b. Vx? +5 – 3

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Q: Evaluate the following. Show solution using the basic formulas.

A: Evaluating the indefinite integral  

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t - 9t + 19, wh...

A: Given: s=t2-9t+19 For (a), (i) [3, 4] Average velocity = s(4)-s(3)4-3=-1-11=-2. (ii) [3.5, 4] Averag...

Q: g(x) = -13 – x| + 5 -6- -10 -9 3 10 -1- -2- -3-

A: The objective of the question is graph the given equation.

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

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Q: 5. Ydx - xdy + x(2 – y)dy = y? e dy

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Q: Evaluate lim x-i x - 1 1 using the appropriate change of variable.

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Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function do...

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

Q: a. f(x) = 6 Select the correct choice below and fill in the answer box if necessary. C A. The deriva...

A: NOTE: Refresh your page if you can't see any equations. . take derivative the derivative is 

Q: 1. Find the vector equation, parametric equations and symmetric equations of the line passing throug...

A: Given that: Points are: (6, -3, -2) and -23,23, 1

Q: | Vx In x dx; u= ln x, dv = \x dx

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Q: Determine the period of the given function. y = -3 sin 8x + 2 ... O A. 8 O B. I O C. 3 O D. - 4

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Q: Let R be the region between the spheres x2 +y² + z² = 4 and x2 + y? + z² = 16 and above the xy-plane...

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Q: 0) (0) Evaluate f, y con xy dA R ((x,y): 0sxs, 0sys1)

A: The detailed solution is given below Thank you 

Q: Express in terms of i. V- 4

A: -4=-1×4=-1×4=i×(2)=2i

Q: Write the partial fraction form of the following expression: -7 x²+15x+56 Note: You are not asked to...

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Q: What is the symbolic form of the argument?" Sad svd S .. d .. d Option 1 Option 2 Sad svd S ... d .....

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Q: (c) S /2x – x² dx

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Q: -2

A: To find the given limits from the given graphs.

Q: (5) (2х — у) — 2у — х dy dx

A: As per the guidelines, we are supposed to solve only one questions as multiples questions have been ...

Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x- 3)2 X-1 %3...

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Q: Find the first derivative or h'(s) of the function below using the techniques of integration: 4 h (s...

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Q: Use the properties of limits to help decide whether the limit exists. If the lim 5x Bm 4x-3 Select t...

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Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

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Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

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Q: When multiplying matrices to produce a new vector matrix, what must the dimensions of the matrix to ...

A: Suppose the origin matrix be A to multiply it with B to get the new vector-matrix C. That is BA=C

Q: 3. Find the domain and the range for the following functions: g(x) = 2 sqaure root x − 3  − 4

A: Topic = Functions

Q: Given the equation below. Give what is being asked. sin2tcos2tdt a In(1+3cos4t) + C %3D 1 + 3cos4t F...

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Q: Find 19. t sin 3t dt Jo

A: Topic:- integration  Note:- as per our guideline if more than one question uploaded than only first ...

Q: 2. Water is flowing in a trapezoidal channel at a rate of Q = 20 m³/s. The critical depth y for such...

A: Q=20 m3sg=9.81 ms2A=3y + y22B=3+yy= critical depthfy=1-Q2gA3BAim: We need to find theapproximate val...

Q: Y= Gas"(Sin-(tan

A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

Q: The sides of a rectangle are formed by vectors A and B with |A| =2 and |B| = 5. Determine the area o...

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Q: 2x+

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Q: 4. If one card is drawn at random from a standard deck of 52 playing cards, what is the probability ...

A: Given that: One card is drawn from a standard deck of 52 cards.

Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the...

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Q: Complete the integration: 1 1 Scos (2x)dx = sin 2x -sin 2x + C Determine the value of "?".

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Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) det...

A: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) deter...

Q: Find all the local max/min and saddle points for the function f(x, y) = a + y³+3x2 - 3y? – 8

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Q: Direction: Find the derivative of the function. g(x) = (3 – z*) (x* – z + 1) Select one: O g'(r) = -...

A: Given:     gx=3-x2x3-x+1             =3x3-x+1-x2x3-x+1            =3x3-3x+3-x5+x3-x2       gx=-x5+4x...

Q: By?dx +[2yłn () + 3siny dy 0 ;when x = 1, y = 0 ²+3x x+3

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Q: (1) The number of organisms of a certain bacteria at time t can be modeled according to the function...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Since I can not b...