Find the area of the surface generated by revolving the curve x in the interval 2 Osys In6 about the y-axis.

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Q: Q2 correct answer

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A: cos(2θ)+sin2θ=0cos2θ-sin2θ+sin2θ=0cos2θ=0cos2θ=cos2(π2)We know that cos2θ=cos2(α)  ⇒θ=nπ±αThereforec...

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Q: 25 The fundlion fox) is represented in the following table. Give the best estimate for f(x)dx 10 10 ...

A: ∫1025 f(x)dx here values are different for different interval ∫1025 63+82+115+120dx ∫1025 380dx [380...

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Q: – sin x show that - In |sec x +c ??? %3D COS X

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Q: f"(x) = 13r- (x²-1)a 2.f(x) = f'(x) = r* +1) 4x (x²-1)2 Determine the intercepts. Determine the equa...

A: f(x) =2x2x2-1Intercepts:x=0, y=0(0, 0),y=0, x=0X and Y-intercept: (0, 0)Asymptotes:x2-1=0x=1, x=-1  ...

Q: 4. Find all points on the curve y = log (x³ – x) at which the tangent line is horizontal.

A:  We will find all the points on the curve at which the tangent line is horizontal using calculus as ...

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: Use property of polynomial for evaluating the integral.

Q: 2. Determine the derivative of f(x) = sin-'(2x)

A: Topic = Derivative

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Q: Q1 Consider the plane curve defined by the parametric equations x = p + t sin(t),y= p² + t cos(t). C...

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Q: For the function below, find (A) f'(x), (B) the partition numbers for f', (C) the critical numbers o...

A: Given query is to find derivative and critical point.

Q: Vx+1-2 lim 3. Evaluate x-3 using table of functional values.

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Q: find the particular solution to y’’ + 5y’ − 6y  =  6t + 7

A: y"+5y'-6y=6t+7Auxillary eq f(D)=D2-5D-6Q = 6t+7Particular Integral be denoted by PIPI=1f(D)QPI=1D2+5...

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

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

Q: 11. Evaluate dx if possible. If not possible, explain why. Vx? – 9

A: The objective is to evaluate the integration.

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

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Q: Evaluate using Pascal's Triangle. a.)  4C3   b.)   (7 5)

A: follow next step

Q: cos400 de J3- sin40

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Q: 3. f(x, y) = (3x - 5y)2 + e4x In(4y – 9) + %3D 135 x4

A: We know, ddxxn=nx(n-1)  , for any real number n. ddxln(x)=1x

Q: 1. Which of the following are trigonometric identities? Select all that apply sin e tan 8 = cos e co...

A: Find your answer below 

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Q: Change from rectangular to spherical coordinates (0, 4sqrt3, 4) and (-3,3,3sqrt6)

A: Note that:Limits of ρ, θ, ϕ are:∙   ρ>0∙   0<θ<2π∙   0≤ϕ≤π

Q: Find a polynomial of degree n that has the given zero. (There are many correct answers.) Zero Degree...

A: To find : A polynomial of degree n that has the given zero. Given information: Zero: x=9, Degree: n=...

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

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Q: 4 CSC* x

A: ∫csc4xco2xdx

Q: Let f(x, y) (a) Calculate || Vfp||. (b) Find the rate of change of f in the direction V fp. (c) Find...

A: Here we will find A, B, C ;

Q: termine whether the series converges or diverges. Explain your answer. Σ 7 + sin(n) n = 0

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Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation...

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Q: Evaluate the integral using the following values. 9. 9. x dx = 320, x dx = 16, dx = 4 61.3 dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos. de e2

A: We will find the indefinite integral as following.

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Q: ax +b, if15メ<2 Find the values of a and b so that the following function is continuous evergwhere- x...

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. x = 8 – y? , x...

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Q: Use the Integral Test to determine whether the series is convergent or divergent. Σ n= 1 Evaluate th...

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Q: dx 2xy-3y2 _14. tan*y – 2 tan y +1 = x N. dy (y-x) _15. secy + sec x = tan y dx 2x dy y sin x-cos y ...

A: 14) tan2y-2tany+1=x(tany-1)2=x Dfferentiate w.r.t.xddx(tany-1)2=ddx(x)2(tany-1)ddx(tany-1)=12(tany-1...

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Q: Give two Inverse Variation word problems and their solutions

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Q: Find dy/dx of the function below. 2x³ + e^(2y) = cos3y

A: 2x3+e2y=cos(3y)Differentiate with respect to x6x2+2e2ydydx=-3sin(3y)dydx2e2ydydx+3sin(3y)dydx=-6x2(2...