Find the centroid (a, j) of the region bounded by: 7а? + 5a, у — 0, г %3D 0, and x = 9

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Q: e in free space is 1 millimeters and h = 100 t 32 1 millimeters. (Round your answer to six decimal p...

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Q: Evaluate the following integrals |(6V - x-3)°dx

A: The integration of the integral is (6√x - x-3)2

Q: 4. у %3D 2/5 seс (10х2 - 7) 5. у %3D -10 csc (2x3 + 6) 6. у %3D 6x2 tan 10x

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Q: dy + 4y = 8 dy d. x- dx = (x – y)² %3D a. dr dy e. da dy + 4y = x? %3D b. = V1+x2 %3D dx dy dy c. dr...

A: This can be solved as follows:

Q: Find a power series representation for the function. (Center your power series representation at x =...

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Q: Reduce the equation to one of the standard forms, classify the surface, and sketch it x^2-y^2+z^2-2...

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Q: A firm produces 550 T.V. sets during its first year. The sum total of the imm's production at the en...

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Q: 3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest desce...

A: f(x, y)=y3 - x2∇f =fx, fy =-2x, 3y2Descent = -∇f =2x, -3y2This can be put as;that the slope of the d...

Q: (a) f(x) = (3x² – 1)/T +x/4 (b) y(x) = r-1 r³+2 (c) g(t) = [(t³ + 4)(t² – 1)]/

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Q: A- Graph the following functions and determine (domain, range) (1) y= sin/x/ (2) y= /x - 2/

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find a polynomial P(x)=x^3+ax^2+bx+c satisfying ALL of the following properties: i) x = -4 is a loc...

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Q: 8. Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simpli...

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Q: ſcos^3 (x) sin (x) dx, For the indicated integral, what would the first step be? * Add one to the po...

A: ∫cos3(x)sin(x)dx here we use substitute method so we have to substitute so lets substitute u = cosx

Q: 1/2 dx r2)2

A: Given problem:-

Q: tan z, find v(/6), (z – ), V(-z), and express (2z) as a 9. If v(z) function of (z).

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: -6 -5 4 The plot above is created with the parametric equations S¤(t) = a cos(bt) y(t) = c sin(dt) T...

A: Solve the following

Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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Q: ex dx 8. 1+ e2x

A: Given; I=∫ex1+e2xdx   ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: (x +1)' sin x (c) lim 2х X-0 sin x lim -0 5Jx (d) 20? +sin O lim (e) 40 6x-sin 2.x lim- X-0 2x +3sin...

A: We evaluate the given limits in the following.

Q: 8. Use the image below to answer the following. Show your work, but you may use technology to calcul...

A: The centroid of a region R is given by x, y=MyM, MxM, where we have M=∬RdA; My=∬Rx dA and Mx=∬Ry dA ...

Q: Determine the value of the given integral given the equation presented below. Answers should be expr...

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Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings me...

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Q: By considering the real and imaginary parts of the product eiθ eiφ prove the standard formulae for c...

A: Given problem:- By considering the real and imaginary parts of the product eiθ eiφ prove the standar...

Q: tan x[cot x – cos x]dx |

A: Topic:- integration and trigonometry

Q: +00 2 -1)"+1(3n)! 3n+1

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Q: y = In(x + Jx² +1)

A: This question is based on differentiation.

Q: (9xy-2y2) dx - (6x²- xy) dy =0

A: 9xy-2y2dx-6x2-xydy=0dydx=6x2-xy9xy-2y2dydx=x6x-yy9x-2y  

Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

Q: P where E is voltage and R is resistance. Approximate the maximum percent error in calculating power...

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Q: 4) The position function of a particle is given by F(t) = (t², 5t, tť² – 2t). When is the speed a mi...

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Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

A: Given, The cost function C(q) = q^3 - 135q^2 + 2500q Differentiate with respect to q, we  get C'(q) ...

Q: The arc length along the parabola y = x² from (1,1) to (2,4) is given by which of the following inte...

A: Let's find. 

Q: et cos(t) Ry = e' sin(t) for 0 <t < 5 Find the length of the curve (Hint: You can simplify the integ...

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Q: 2. f(x) 3. f(x) = (56x – 3)(4x +5) = 56x - 32x + 16x - 10 4. f(x) = 2x-6 x+3

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.

Q: Write an equation for the line through center a circle (x2 + y2 + 4x+6y = 3) which make an angle) wi...

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Q: tan x[cot x – cos x]dx

A: Here we can find the integration as below

Q: Given Cost and Revenue functions C(q) ) = q° - 11q +57q + 5000 and R(q) = - 3q + 2600q, what costs s...

A: Given problem:- Given Cost and Revenue functions C(q) =q³-11q² +57q+ 5000 and R(q)= -3q² +2600q, wha...

Q: (cos 3t)²dt

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Q: 1. tan(8) cos(8)

A: Given query is to simplify the expression  

Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Exercise 2 Find symmetric equations of the normal line to the surface 4 + y – 162 = 0 at (2,4,2). (a...

A: Given surface is     4x2+y2-16z = 0We will find the symmetric equation of the normal line to the sur...

Q: Using spherical coordinates to evaluate the triple integral zdV, where D= {(r,y, 2) E R : a s? +y + ...

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Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

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Q: 2ce2x Curves y = 1+ce2x

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x) dxn...

Q: maximize z=8.50x1+12.10x2 subject to 2x1+3x2 <  24,000 x1 < 6,600 x2 < 5,500 x1+x2 < 10,000

A: topic- linear programming

Q: ng If C(t) = 62.5t e -0.19t measures the concentration, in of a drug in a person's system t hours af...

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: Given problem:- Find the maximum profit and the number of units that must be produced and sold in or...