Use the shell method to find the volume of the solid generated by revolving the shaded region about the x-axis. V3 y = V3 The volume is O (Type an exact answer, using x as needed.)

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

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Q: Question 7 4dy Evaluate the integral ; 5y +2 (A In|5y +2| +C 5 (B -2미by+ 리 + C In|5y +2| + C (D In|5...

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Q: Use implicit differentiation to find y', and then evaluate y' for xy-4x° + 16 = 0 at the point (2,4)...

A: The objective is to find y' and y' at (2, 4).

Q: Use the Integral Test to determine if the series Σ (n+ 2)/4 1 n=1 converges or diverges.

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Q: Find a specific solution to the initial value problem. 1 dy sec x tanx when y co)= 1 dx- 4

A: Given that       {1/(5y4+2e2y)}dx - (1/secx.tanx)dy = 0

Q: 1. x³ + y³ – 3axy = 0 2. x2 - 2xy + y? – 6x + 2y = 0 3. (x+y)2 2ay 4. x + yi = 9| 5. (x² – y?) = 4ay...

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Q: 1. Consider the differential equation 2y" + 7y' – 4y = sin 3x + 4e#/2. %3D (a) Determine the form of...

A: topic   -  differential equation 

Q: dy 9. Find for y=xVx+ 1

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Q: A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the t...

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Q: Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1

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Q: The concentration of a drug in the bloodstream C(t) at any time t, and hours, is described by the eq...

A: The concentration of drug reaches its maximum when                         C'(t) = 0find the values ...

Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n³ + n² + 1 n=1

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Q: Evaluate the integral x Inx dx Select one: 3 3 O ri Ina- +C O 3 Inz In r- +C O- In z- +C O None of t...

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Q: The integral dz is equal to 2e + C. Select one O True OFalse

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Q: 9 Find the length of the curve x = on 3sys5. %3D 27' 4y The length of the curve x = 9 - on 3sys 5 is...

A: We have to find arc length of give curve.

Q: Find the general solution of the differential equation. (x'' 1) y' osx ca-y) こ

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is R6 (the Right-Hand...

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Q: 3 sin (x) 4- V1-x2

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

Q: 2x-2y* If f(x,y)={3x² +3y² if (x, y) # (0,0) then: m if (x,y) =(0,0) f(x,y) is continuous at (0,0) i...

A: To check whether the function is continuous or not. Given information: The function is f(x)=2x4-2y43...

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Q: A sample of radioactive material starts with 0 grams . After 3 half -lives have passed , how much ra...

A: Let's find. 

Q: sin'x+8 sinx+16 sin’x+4 sinx

A: topic -  trigonometric function 

Q: Link between every sequences and this specific properties The sequence {1n\n² +n+5]} is A. geometric...

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Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

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

Q: Activity on ELLIPSE Directions: Determine the equation of the ellipse in Standard Form and General F...

A: As per bartleby guidelines we only give first question answers. 

Q: Directions: Determine the equation of the ellipse in Standard Form and General Form given the follow...

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains ...

Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.

Q: Use the Comparison Test to determine if the series 2+ In n n sin? n n=1

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Q: Write an equation for the function graphed below -7 -6

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Q: Given that fCx) = x"hc) h'(1)=6 Calculate f'(-1) =

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Q: The function A Age0.19t models the amount an individual owes a credit company t years after some ini...

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is S6 (the Simpson's ...

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Q: y"(x) – 4y '(x) + 4y(x) = 4e²x; y(0) = -1, y'(0) = -4 Answer: y(x) = e?x (2x² – 2x – 1)

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Q: Use the First Derivative Test to find relative (local) maxi points, if any, of the given functions. ...

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Q: Evaluate the integral that converge dx (2x- 1)3

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Q: Let R be the region in the first quadrant which is below the cur curve y = sin æ, above the x-axis, ...

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Q: step

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Q: х — х? -Зх- 2 dx - x' + 4x? - 4x | 4

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Consider the function f(x) : 822 + 7 Recall that the definition of the derivative given in the book ...

A: We have to solve for derivative

Q: find the second derivative of y=[(tane^2x)+(e^tan3x)]

A: The guven function, y=tane2x+etan(3x)