Find the center of the mass of a thin plate of constant density 6 covering the region bounded by the x-axis and the curve y= 3 cos x,

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A: The given function is f(x)=x5-2 we have to find the inverse of the function of f. f-1(x)=?

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A: Given: F(x) = sin3xcos5x We know that  We have to find ∫sin3xcos5xdx Let , I=∫sin3xcos5xdx

Q: dx dy 1.65. dt Given y = x. Find when y = 6 and dt %3D dx (Simplify your answer.) %3D dt

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A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

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Q: Find an equation of the tangent plane to the surface z = 2x² + 1y² + læ + ly – 2 at the point (2, 5,...

A: This question is based on 3d geometry.

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Q: Use algebraic and/or graphical methods to solve the inequality. 10x° -x* <0 Select the correct choic...

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Q: The population of a country was 5.201 million in 1990. The approximate growth rate of the country's ...

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Q: 3 Evaluate 4a?y – 2° dz dy dæ -1 J1

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Q: Find the characteristic equation and fundamental solution set to the di fferentinl equation 4 +4

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Q: Solve the system below using elementary row operations. Show your steps and labels.  2 x + y – z = ...

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Q: Find the radius of convergence, R, of the series. (-1)^x" + 6 n + 3 n= 1 R = Find the interval, I, o...

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Q: PROBLEM [ B6 (a) ]: Obtain the differential equation whose general solution is y=a sin 7x – bcos 7z,...

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Q: Find the da/dx, where a is a function of x: a²x² + 2ax = a.

A: The given function,        a2x2+2ax=a

Q: kx +5, g(x) ={ 2 (3x+x², x<-2 If the function x2-2 is continious at x=-2, then find the value of k .

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Q: PROBLEM [ B6 (b) ] : Solve the first order dy = 9 x²e=³, by using dx differential equation Variable ...

A: We have to solve the first order differential equation dydx=9x2e-y by using variable seperable metho...

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 6  where the tangent line is horizontal.

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Q: f(x) * a = 49 (2n – 1)! 2". 72n + 1 + (x – 49)" n = 1 1 ㅇ윽+>m.72n+ 1.n! 1 (x - 49)" n = 0 1 1:3.5. ....

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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: Gren thint sin (A+i6) = xtiy, 28 Prove that, 9父+ =1 snh'B 1) x essec?A -y' sec'A =1

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: We have to evaluate the integral                                                  ∫dtt2-12t+40

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Q: -3x + 4 a) lim x-2- x2 - 4 x2 b) lim x-3* x2 + 2x – 15 2x4 + 5x3 - 2х- 3 9x + 10 c) lim 5x7 + 2x6 – ...

A: a) limx→2--3x+4x2-4=-3(2)+422-4=-6+44-4=-20=-∞limx→2--3x+4x2-4=-∞

Q: IfY - goes through B (2,8) .What is an equation of the normal to the curve at B? Y = 4x y =7+8 y = 4...

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Q: Using Newton's divided difference formula, find the missing value from the table: 14 15

A: Solution of question is written in below steps.

Q: Let F(x) = f(x) + g(x)e* + h(x)e2x + C be the antiderivative of G(x) =(x+e*)¯, Determine the value o...

A: It is given that, F(x)=f(x)+g(x)ex+h(x)e2x+C be the antiderivative of G(x)=x+ex2  We have to determi...

Q: In each equation in Column A, find . Match the equation with its corresponding Column B. Write the l...

A: Since the student has posted multiple questions and has mentioned to solve multiple questions (quest...

Q: et -5 0 1] A = [2 -10 0 2 escribe all solutions of A = 0. = x2 +x3 +x4

A: Here we have to solve the given problem.

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Q: Consider the following graph. y 10- 5 X -3 -2 -1 2 3 -5 -10 Identify the parent function represented...

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Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

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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&gt;0∙   0&lt;θ&lt;2π∙   0≤ϕ≤π

Q: 1. Evaluate > (9 × 10-*) if possible. If not possible, explain why. As part of your solution, state ...

A: Given: ∑k=1∞(9×10-k)

Q: Q8 Determine whether {(1+2)"} Converges or diverges. n=0

A: To find the convergence of 1+pnpnn=0∞ For that, note that: limx→∞1+axxa=e

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Q: Consider the points A(3, –3, 3), B(4, –5, 0), C(-3, –4, 0), and D(6, 2, –6). Find the volume of the ...

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Q: y” − 10y’ + 50y = 0, y(0) = −3, y’ (0) = 1

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

A: Given query is to find the value of the integral  

Q: find if w= fcusu)ou=X+y Wxy xy Express the of u,v, fu , fv V= an Swer interns

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Q: 2 y = 12 – 3x", y = 4 – x 2

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