Q3/ Find a center of mass of a thin plate of density 8 = 3 bounded by the lines x = 0, y = x, and the parabola y = 2 - x in the first quadrant.

Q: 4 dx 4+x4 4 V2

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Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2.x) b) Fin...

A: Note that, the Maclaurin series of  ln(1-x) is: ln(1-x)=-x-x22-x33-x44-...                  ...(1) w...

Q: n cos (n) Determine if the series converges or diverges and choose the option that describes the beh...

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Q: Find the sum of the scrics k – Vk2 – 1 Vk(k + 1) - k=2

A: we will find the sum using sequence of partial sums. 

Q: 2x² +3 dx x(x – x(х — 1)2

A: Find your answer below 

Q: 0.3t ug -) of a drug t hours after being injected is given by C(t) : ml The concentration (in Find t...

A: The concentration of drug,Ct=0.3 tt2+38

Q: 14. A 5 m pole, leaning against a wall slips in such a way that its base is va moving away from the ...

A: According to the given problem, the representative diagram is as shown below; Let, the height of th...

Q: – 4x + 30 The partial fraction decomposition of can be written in the form of 8x2 + 34x + 21 f(x) g(...

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Q: 3.) Find y': Given: y = coth NIK

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

Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: dx 1. (x-3)(x-2)

A: Given I=∫1x-3x-2dx To evaluate the integral I:

Q: If a rock is dropped from a height of 196 ft, its poistion t seconds after it is dropped until it hi...

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Q: 3. Evaluate f x sin2 (x²) dx.

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Q: Question-2 (1.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: How many fraction terms are there in the partial fraction decomposition of x3 + x2 + 5 ? æ(2x – 5) (...

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Q: Which of the following is the solution to the differential equation with the initial condition y (3)...

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Q: Given the following multiplication problem Equation 1: - 24V,=-8V2 -24 8 gives us equations -2 Equat...

A: From the matrix, we have the eigenvalues as  λ1=-26λ2=0 When, λ1=-26 the eigenvector is μ1=-41

Q: Find dy/dx by implicit differentiation. xby5 = y = x dy/dx

A: Let's find. 

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. ху %3D ...

A: topic - implicit differentiation

Q: 1. 3 2 a) Find lim f(x), lim f(x) and lim f(x) b) Find f(1). c) Is f continuous at x = 1? Why or why...

A: We have given figure. And we have discuss about limit and continuity at some certain point. 

Q: A one-to-one function is given. Write an equation for the inverse function. X-4 v (x) = x+5 (x) = D

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Q: Determine the interval of convergence of 5 –1)"3nx" n² – 5 n=1

A: Use the ratio and find the limit then check for convergence. 

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural...

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Q: Find a vector field F such that curl F = 8 i – 7j + 4 k. [Hint: Try F = T × 7 for some vector V ) °F...

A: Yes, there is a method to directly approach the answer with out just cross checking the options.

Q: x In(2 + x³) dx

A: Topic  = Integration

Q: Question Select your answer. x + 2 Find the derivative of f(x) = with respect to x. 3x 2 9x 2x – 6 9...

A: Solution:

Q: Find dy/dx by implicit differentiation. xby5 - y = x xp/Ap dy/dx = Need Help? Read It

A:

Q: a²x, a?x? Po(x) = 1, p1(x) = 1 + ax, p2(x) = 1 + ax + 2! P3 (x) = 1 + ax + 2! %3D 3! a?? ax? p4 (x) ...

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Q: Given the matrix and its eigenvalues -12 has eigenvalues R, = -1 and R, 1 -5 = - 2 %3D Find the new ...

A: We have to find Matrix A1 and A2

Q: FUNCTIONS NAME: PARRO, YSA mHE uT. GRADE & SECTION: - HUM SS 7 TEACHER: -DATE: 09 22/21 SCORE: LEARN...

A: For other parts please reupload questions according to bartleby guidelines

Q: Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decre...

A: Let's find. 

Q: Gutance of ** AS m pole, leaning against a wall slips in such a way that its base is vdn moving away...

A: We will use Pythagoras theorem .

Q: y 1.5 2.5 2.5 2.5 2.5 13.68 3.

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Q: Find the partial derivatives of the function f(z, y) -öy =Iye fz(E, y) = fy(z, u) = fay (포, y) = | f...

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Q: Solve the area bounded by y³+y²+10 = (x+1)², the lines y=−2 and y=2

A: Given: - The curve is, y3+y2+10=(x+1)2 and the lines are y=-2 and y=2 To solve: - The area bounded b...

Q: (b) ) п? + 2n n=1

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Q: Explain why the integral is improper. 16 1 dx 3- 2.5 2- Y 15 0.5 6 8 10 12 14 16 O At least one of t...

A: Evaluate the integral. Both limit of integration is finite. Integral converges to value 8.

Q: 10. Vx – 1dx 15 32 32 b. 15 a. 32 d. none of the choices C.- 15

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Q: a The value of an investment account has a doubling time of 13 years and $35,000 was originally depo...

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Q: 1 7) Find the antiderivative: S 3x2-6x+12

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Q: The equation of a circle in general form is x2+y2+x−6y−2=0. What are the coordinates of the center ...

A: Topic:- geometry

Q: a) Kindly find out if this series is whether convergent or divergent. b)Explain and justify the answ...

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Q: B. Hyperbolic Functions 4. y = e-* cosh In (x) 5. x = Arcsinh?(1 – b)

A: Please check question number 5, there is a mistake. I am solving question number 4. Please rectify a...

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not ...

A: In this question we have to find whether the Integral is divergent or convergent.

Q: For f(x1, x2) = x2 cos x1 find f'(x1, x2), f'(2,7) and df[(2,7); h]. For f(x, y, z) = (x – 2z)e" fin...

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Q: If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, c2...

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Q: Evaluate the following: 1) E =1 3kk 2) E =o (i+1)?

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given ...

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Q: Find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x?y, (-1, 1) Bifol...

A: The objective is to find the slope of the tangent line to the graph at the point  (-1,1).

Q: ) You are an accountant for a manufacturer of radios. The demand function for the tablets is p= 40-4...

A: Find your answer below