Given the curve y = x' and the line y = 4x in quadrant Find the ordinate of the centroid y of the region bounded by the curve and line.

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A: We can find the area as below.

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A: Given: A right circular cylinder is generated by revolving a rectangle of perimeter 24 cm about one…

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A: For Negation use words like if something is happening then in negation use not  If all are used ,…

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A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

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Q: C08QX dX

A: solution:-∫cos3x dxwe know that cos3x=4cos3x−3cosxcos3x=cos3x+3cosx4=∫cos3x+3cosx4 dx

Q: السؤال 3 -Sec2 (). dx tan (5). · dz O ). de tan tan . da O ). dz O tan

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A: Topic:- application of integration

Q: Which of the following statements is true about the function f(x) = a3 + 6x2? a. None of these. O b.…

A: Solve the following

Q: 3x2 dx . 4. Evaluate 7x +C 3/1-x cos (3x) + C sin-1(x³) + C The antiderivative cannot be found

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Q: -1 is a critical number of the function f(x) = V2x + x².

A: derivative

Q: The implicit derivative formula on a surface F (x, y, :) = 0 is: *--() F Evaluate d:/Əx on the…

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Q: Q/ Evaluate the integrals :- 1 + Z

A: This question is based on indefinite integral.

Q: ĐUse the fuler method's Solve the: 5.525ー0 ら10)=1 hこer

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Q: Fincl the general equation of y) + 3y? - 10y -0

A: Let's find.

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A: We have to find the given integral.

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A: We have to find the z transform of the following.

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A: We have to determine whether the given sequence an converges or diverges. Also, find the limit L.…

Q: Find the interval of convergence of the series. Sn=00 (z-8)" n=1 n+8 O -1 < x < 1 O - <z < -00 <x<…

A: We ahve to find the interval of convergence of the series.…

Q: inal the @ e w and cone an ave cof the Cuarve?

A: here i am providing my hand written solution

Q: Consider the function f(x) = x4 + 2x3. (a) Find the x- and y-intercepts of the graph of f (if any).…

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Q: S 2æe3= dx ,3z 9.

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Q: 6x + 2y = 3 elect the correct choice below and, if necessary, fill in any answer boxes within your…

A: Topic:- geometry

Q: The correct choice to draw lines from point (160,120) to point (160,250) is 40,250 160,250 260,250…

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Q: Find the min and max values of the function f(x) = x^8/3 − 16x^2/3 on the interval [-1,8].

A: Given, f(x)=x8/3-16x2/3

Q: Consider the function g defined by 1 g(x, y) = cos (7x/) - CoS log3(x – y)

A: Given problem:-

Q: Find the length and direction (when defined) of u×v and v ×u. u = 7i- 2j - 8k, v=8i – 8k

A: length

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Q: Solve a3 -4x2 +4x 3x4 –12x3 +12x2 limp→2'

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Q: EXERCISE 2 Consider f(x, y) = 3x² – 4y² and = = cos T î + sin 7 ĵ. Use the Theorem above to find the…

A: This is a problem related to vector calculus. Based on the general formula and concept we will…

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: Let U be the universal set of natural numbers less than 11. Consider the following sets. A = {1, 3,…

A: Let's find.

Q: +)Use the Runge-Kutta Method SeVelue:.

A: Given y′=(1+1/x)⋅y,y(1)=2.7183,h=0.2,

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Q: Evaluate fE in two ways: using partial fractions and using a trigonometric substitution." Reconcile…

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Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x -1=0. Graph…

A: Let's find.

Q: A survey of 48 people was conducted to compare their self- reported height to their actual height.…

A: Given that a survey of 48 people was conducted to compare their self-reported height to their actual…