Compute the surface area of a surface generated by revolving the curve c(1) = (6 sin²(1), 6 cos² (1) about the x-axis for (Use symbolic notation and fractions where needed.) S =

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A: GIVEN:- W=1+xy2-z2  To find:- Wx , Wy , Wxy , Wxx , Wyy , Wyx

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A: Topic = Functions

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Q: Answer the following True or False: If g(x) is the inverse of a differentiable function f(x) with de...

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Q: 13 What is the Maclaurin series of 1+x Σ (Type an expression using n and x as the variables.) n=0

A: Given: f(x)=131+xTo find the Maclaurin series for f(x):f(x)=∑n=1∞ xnf(n)(0)n! ;    n=0,1,2,...Formul...

Q: Consider the series 1 Σ n(n + 5) n=1 Determine whether the series converges, and if it converges, de...

A: Series

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Q: Consider the graph of the function f (x) = x2 – x – 6. (a) Find the equation of the secant line join...

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Q: Evalvate the limit lim Cos x In(x-) -IT メーフクT ne-e

A: The given limit is: limx→π+cosx lnx-πlnex-eπ To evaluate the given limit.

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A: topic- inverse trigonometric functions sin(π+θ)=-sin(θ)sin-1(-x)=-sin-1(x)

Q: hi

A: 1232Now,32 = 2×2×2×2×2 =4×4×232 = 4×4×2 = 42

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Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

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Q: 1. Find the length of the curve r(t) = (sin 2t, cos 2t) from t 0 to t= 2n. CoS %3D

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

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Q: Let f(x) (8 sin r + 9 cos I)tan f'(x) =

A: Topic = Derivative

Q: /3 Without using a calculator: tan¬1 ( 3

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A: topic - inverse trigonometric ratios

Q: ii. cos(cos-G

A: Given query is to perform indicated trigonometric operation.

Q: Find the Taylor series generated by f at x = a. 4 f(x) = , a=D1 %3D O A. 4 E (-1)"(n + 1)x" n 0 O B....

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Q: Use the Integral Test to determine whether the infinite series is convergent. n2 Σ n=19 (n³ + 3)7 To...

A: ∑n=19∞n2n3+372We need to find the given series converges or diverges

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

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Q: If c = 0.118, simplify the expression cos(cos-(c)). If undefined, enter Ø. Provide your answer below...

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Q: 6) lim Vx 0+ f (x) f (x) -0.5 0.5 -0.1 0.1 -0.01 0.01 -0.001 0.001 -0.0001 0.0001

A: 6)limx→0x

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Q: Find equations of the tangent plane and normal line to the surface z + 19 = xe cos z at the point (1...

A: We have to find tangent plane equation and normal line.

Q: 1.80 Find an open cover of the interval (-1, 1) that has no finite subcover. Justify your claims. 1....

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Q: Consider the following. y = 2x5 + 5x* – 10 (a) Find the critical values of the function. (Enter your...

A: The given function is: y=2x5+5x4-10

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Q: The three series An, EBn, and ECn have terms 1 1 An 1 Cn = Bn n10 n Use the Limit Comparison Test to...

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Q: Find the maximum rate of change of f(x, y) = In(x² + y?) at the point (-4, -3) and the direction in ...

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Q: (x +1) 2)(x +2)(x (x + 3)(x+ 1)

A: Let,  f(x)=x-2x+2x+1x+3x+1

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 (-...

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Q: 1. Find the values of x,4 and z that corvespond to the critical point of the funchion Z="f(x,4)= Sx?...

A: We have to find critical points of f(x,y).

Q: Find the convergence set of the given power series: 2" x" n! n=1 The above series converges for < x ...

A: Given:   Limit equations is given

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Q: Tt/2 Evaluate the integrals S cos? x sin³ x dx and Sa1 V1– cos2x dx

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Q: Find the differential of each f (a) y = 1 + 4s dy =

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: . Given the graph of g(x) = {√−x−2+1, x<-2   x2+2x+5,  x≥-2 below, evaluate its limit as x approache...

A: Given that: 5. g(x)=-x-2+1, x&lt;-2x2+2x+5,     x≥-26. g(x)=Graph is given.7. g(x)=-1x2

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Q: For the following alternating series, (0.6)7 +... 7! (0.6)3 (0.6)5 An 0.6 - 3! 5! n=1 how many terms...

A: Given:   Alternating series is given