An integral expression for the area of the surface generated by rotating the curve X =Vy , 1sys8 about the x-axis is 2 TTXV1+3x4dx 2 TIXV1+3x² dx 4 2 TTXV1+9x*dx 2 TxV1+9x? dx

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

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A: Given  g(t) = lntt2+142t-15g'(t) = dlntt2+142t-15dtg'(t) = 1tt2+142t-15×dtt2+142t-15dt              ...

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A: The given problem is solved below in detail.

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A: Solution: As we can see in the figure Height AO=h, radius OC=r ∠BAQ=2α Let the radius of the cylinde...

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

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A: Solution is given below:

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A: This question can be solved by applying the concept of tangent and normal

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A: ∬ x sin(x+y) dA,R =[0, π6]×[0, π3]0≤x≤π6,  0≤y≤π3  

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Q: Find the distance between the complex numbers in the complex plane. 5i, 6-4i

A: Distance formula in the complex number : d = (c-a)2+d-b2 where a+ib and c+id be given complex number...

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Q: C -- -- 1. 7)=3tan(2x-45")-2 f(x) Реriod: Vertical Shift: Horizontal Shift Start: End.

A: Starting point and ending point is always infinity in tan function

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A: Find your answer below 

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Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 ...

A: area under the curve, solve integral

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Q: Use your analytical skills to evaluate the limits. 2x2 + 3x – 9 lim x3. x2 +x - 6 - 2x2 + 3x 9 lim x...

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Q: 1. Find the general solution of (y? – 1) = 4xy? dy %3D dx

A: Topic:- differential equations

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Q: Sketch the following, and identify the surface by name. Show all your work, including all traces. x2...

A: solution given below

Q: Sketch and describe the curve defined by the vector-valued function below. 7(t) = (t cos t, t, tsin ...

A: To sketch: The curve r(t)→=<tcost,t,tsint> Solution: Given x=tcost,y=t,z=tsint x2+z2=tcost2+ts...

Q: 11\ The values of x for the converge series :E=1an n%3D1 2m are:

A: Given :  Limit Equations is given

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A: here tanθ/2 =+ 1-cosθ1+cosθ so here x= -1 and y= -2  so from right angle  uv = 5 so cosθ = -1/5 ta...

Q: QUESTION 6 | 16-ydy can be eliminated by applying lim t+ -0 6-ydy The infinity in the O True O False

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A: Given that a solid is bounded by the xy plane i.e. z = 0 and above by the Paraboloid z = 25 - x² - y...

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Q: QUESTION 17 How fast is the surface area of a sphere changing when the radius is 25 cm if the radius...

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Q: If 0 is a first quadrant angle where P(u, v) = (-1, -2), tan 0: 5 + V5 - V5 5 - 5 - V5 5 + V5 5 - V5...

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Q: Q.4\ The Taylor series for cosh(x) is:

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Q: Evaluate the following integral. - cosh x dx 2. sinhx- sinh x

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Q: 3 Which of the following properties describe the sequence n3 Jn=4 Bounded, not monotonic Not bounded...

A: We have to choose the correct option according to the given options using the property of sequence

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Q: Evaluate: A 4e“+C +C +C E) None

A: Given problem:-

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A: We have to describes the given equation in R^3

Q: Which of the following situations would be best modeled by an exponential function?  Select ALL that...

A: Which of the following situations would be best modeled by an exponential function?  Select ALL that...

Q: Find the derivative of the vector function below r(x) = sin²(secx?)i +csc°(Vx² +1] 2 dd fil

A: Given: - The vector function is, r(x)=sin2(secx2) i+csc3x2+1j+8tan(x2) k To find: -The derivative of...

Q: (a) If point A(2, 4, 3) is the opposite vertex to the origin, then find the coordinates of the other...

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Q: Given line M = ax + by + c, b # 0 What is the y-intercept of the function? c b - M -C M - C b C- M

A: NOTE: Refresh your page if you can't see any equations. . to find the y-intercept take x=0

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Q: Select the correct equation for the following graph: 10- 5- -10 5- 10 5- -10- 2x-6 O f(x) 22 +x-2 f ...

A: find the equation for given graph

Q: 6. Let a be a real number. Consider the series Σ an = cos(nT); 2n +1 an, where n=0 Is it possible to...

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