Find the area of the surface generated by revolving the curve y=- 24 .Osxs/6. about the x-axis.

Q: Q1/ Find the missing term in the following table using interpolation: 2 3 4 9 81 y: ...

A: The missing term is 

Q: Evaluate lim x? (e - 1) using series . X00

A: We know that ex = 1 + x + x22! + x33! + ⋯

Q: +-over [1, 2]. Find the exact arc length of y: - 3 4x

A: A detailed solution is given below

Q: Consider the following graph. y 10- 5 X -3 -2 -1 2 3 -5 -10 Identify the parent function represented...

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Q: dy IfY then dz impossible to calculate In(x) II CO

A: As you have asked for the solution of question number 8 only. So I am solving that only. Thank you. ...

Q: 3. Determine the exact value of f"(0) for f(x) = (cos5x + 5x²)*.

A: Given 

Q: Calculus the producer surplus for the supply function p(x) = 3+0.01x² X = 10. Show all your work. at...

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Q: Só x*(2 + x*)dx = 5/8 O 7/8 О 18 O 3/8

A: To evaluate the value of the given definite integral. Note that: ∫xndx=xn+1n+1+C  (C is an integrati...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: How to find the antiderivative Integral 13x cos (-3x + 1) dx

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Q: ry" +xy'-4y 2r y"-2y' +y -3-x+x. y(0) =-2, y(0) 1.

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Q: f(x) = x5 – 2 (a) Find the inverse function of f. f-1(x) =

A: follow next step

Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

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Q: Find a polynomial function that has the given zeros. (There are many correct answers.) 0, -8, –9 f(x...

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Q: + - -5 8 23)+(1,4)

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Q: Find the angle between the two given vectors. u = (1, –4, 1), v = (0, 2, –2)

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Q: Q2 correct answer

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Q: Evaluate the following indefinite integral. 1+ 4t° -dt 11t

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Q: f(x) = √x −ln(x). Restrict the domain of f(x) such that it is one-to-one, and then sketch the funct...

A: Domain of  x-lnx :  Solution:  x>0  Interval Notation: 0, ∞  The inverse of the function is not p...

Q: dy 21 z'e ", by using Variable Separable de PROBLEM [ B6 (b) ]: Solve the first order differential e...

A: Given the first order differential equation is dydx = 21x2e-y

Q: x =r' +1, y=r -1 d'y b) Find dx?

A: Given:  x=t3+1,y=t2-t To find: d2ydx2

Q: Where is f(x) = differentiable? %D

A: The objective is to check where f(x) is differentiable. 

Q: Let F(x) = f(x) + g(x)e* + h(x)e²×+ C be the antiderivative of G(x) = (x+ e*), Determine the value o...

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Q: Directions: Evaluate the following limits. 3. lim ) 4. lim ) x-1 x2 X+4

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Q: 4x -3 ifxs3 a. Graph f(x)= ifx> 3 b. Find f(1) and f(4) c. State the domain of the function a. Choos...

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Q: 3. Find an equation of tangent line to the given function at the given point: f(x) = 1+ arctan(x/4),...

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Q: Determine the extreme values of the function (exact coordinate(s) f(x) = 2sinx – x on the interval x...

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Q: Problem : Find the derivative of the series 32z5 + 4! 2x 4x? 16x4 f(x)=1+ 1! + Also show that 2! 3! ...

A: To find the derivative of the series fx=1+2x1!+4x22!+8x33!+16x44!+32x55!+...Also to show that f'x=2 ...

Q: For x²y = y³x + 5y + x, find dy/dx by implicit differentiation.

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Q: e5x cos e5x dx sin²e5x

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Q: Complete the following tables of values to investigate. Write your answer in the space provided afte...

A: To evaluate the given limit using the tabular method. Let, f(x)=x2-2x+4

Q: Consider the differential equation y" – 6y' + 13y = e3r By using an appropriate substitution, give a...

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Q: Find the area of the triangle with vertices P(1,2, –2), Q(0,0,0) and R(2,3, 1). NOTE: Enter the exac...

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Q: (B)(10M) Evaluate (y(x)) dx y(x) = cot (csc(sec(In x))) %3D

A: derivative

Q: 4 – dt 2 cos 4t 1.

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find the valuU of a and b so that the following funchion is continu ous evrguhere- f6)=Dax+b 3x 41三x...

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Q: The annual revenue of Google Inc. over the period January 2008 - January 2015 can be approximated g ...

A: Given derivative of annual revenue function. To find the total revenue earned.  

Q: 15. Evaluate o" Sy" cos(x?) dxdy,

A: Given: I=∫0π∫yπcosx2dxdy   So, The region bounded by the lines x=y, x=π, y=0 & y=π is as shown b...

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Given,            The vector z is z=<3,2,-7>.To find : Determine which of the vectors is are p...

Q: 2 y=x¯,y= 2x

A: The objective of the question is calculate area of the bounded region .

Q: 12. Construct an algorithm that has as input an integer n> 1,n + 1 points and xo, X1,…· Xn ... and a...

A: INPUT: n, x0,...... ,xn, x OUTPUT: ∏i=0n (x-xi)

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: y" – 2y' + y = –3 – x + x²,

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = 12 – 3x2 ,...

A: Centroid of the region :            x = 1A∫ab fx-gx dx  and  y = 1A∫ab 12fx2 - gx2 dx               ...

Q: 2–3 Find |u X v and determine whether u X v is directed into the page or out of the page. 2. |v|= 5 ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: dy If then de impossible to calculate O In(æ)

A: 7.  slope of tangent line  slope at point ( 4 ,2 ) 

Q: IfY - goes through B (2,8) .What is an equation of the normal to the curve at B? Y = 4x y =7+8 y = 4...

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Q: = csc2 x + sec x Cos° x ,3 -

A: Here f(x) =cosec^2x +secx- cos^3(x)