Find Mx, My, and (x, y) for the lamina of uniform density p bounded by the graphs of the equations. 1 y = x²/3 y = -x 3 Mx My (x, y) = =

Q: Find the Standard Equation circle with center at (4,-5), diameter is 6

A: The standard equation of circle with center (a, b) and radius r is (x-a)2+(y-b)2=r2

Q: (c) Define a permuta (d) Express the product of the cycles (1,2)(4,7,8) (2, 1) (7.2.8.1.5), as a…

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Q: 1) Give the Interval of existance for the Solution to the initial valve problem. (+²-16)y" + Cos(4+)…

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Q: Solve the problem. Let T: 2->2 be a linear transformation that maps u = Use the fact that T is…

A: Given , T(u)=(7,-8) i.e. T(4,5)=(7,-8) And T(v)=(7,-4) i.e. T(2,-1)=(7,-4) Now ,we have find image…

Q: = (f(x مستمرة عند 2 = x V7x+2 - V6x++ (x-2) if x ≥ and x # 2 if x=2 1- قيمة الثابت k الذي يجعل…

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Q: 2 -1 4 a) 1 3 -1 2 1 11 (b) 1 -2 5 002 2 2 1 -6 7 5 4 -4 -2 -1

A: Explanation of the answer is as follows

Q: 8. Given the function g(x, y, z) = x²y - 4zex+y, find the slope at P(1,0,1) in the direction of the…

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Q: Suppose that f(x, y) = x +y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. D a Then the double…

A: Here given  fx, y=x+y and the domain is given as D=x, y:1≤x≤2, x2≤y≤4

Q: Find the absolute maximum and absolute minimun of the function f(x)=8x3 +81x2−42x−8 on [−8,2].

A: Given  f(x)=8x3 +81x2−42x−8 on [−8,2].

Q: following x² dx

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Q: - Find the aera under the curve y = cosx Form x = 0 to x = -fx sec² (ax² )dx a#0

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Q: 3. If A and B are ANY two sets, determine the truth-values of the following statements. If a…

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Q: Find the Wronskian of the functions f(t) = et sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

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Q: Find the Taylor series generated by fat x=a for the following function 1 f(x)=, a=1

A: We have to find the Taylor's series for the given function.

Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2, -4), (-2, 6), foci at (-2,-5),…

A: To find: the standard equation of hyperbola with given vertices and foci.

Q: Determine whether the given sequence converges or diverges. If it converges, calculate its limit. an…

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Q: (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the…

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Q: * Find the Maclaurin series for the following :function -X e (-x)" 1)(

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Q: Prove that the union of any number of open sets in Ris open.

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Q: provide detailed proofs for the following a) Let y ∈ R. Prove: If y ∈ {2x + 3 : x ∈ (−∞, 1)}, then y…

A: The part (b) question is not clear, there is some typing mistake. Please post the part (b) question…

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: The given equation is 8x2+3y2-176x-42y+1091=0. To Determine: The type of conic equation, and…

Q: of Given f = xy² In (3y + 2x) + (xy)e™, find dy O None of the choices af ety 3.xy² 3y+2x + (2xy²)…

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Q: Evaluate () ex dx, (b) (5) 2 -2x dx.

A: Note: We'll answer the first question since the exact one isn't specified. Please submit a new…

Q: lim 118 - 5n² - 5n 5n²+2n+6 C) -5 O A) infinity O B)-1 O

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Q: Let a1 = a2 = 1 and suppose an = an-1 + an-2 for n ≥ 3. Prove that a1a2 + a2a3 + · · · + a2n-1a2n =…

A: We have given that , a1 = a2 = 1 Also , an = an-1 + an-2 We need to prove that ,  a1a2 + a2a3 +…

Q: * Find (fzyx) for the function (f = sin(xy)* .cos(yz)* cot(xz) ) B) zycos(yz)-sin(yz) O A)…

A: Given: f=sinxycosyzcotxz To find: fzyx

Q: dy/dx of the function (x³ - 2y² + xy = 0) at the point (1,1) is: B) 2/3 A) 4/3 O C) 5/3 O

A: We will use basic rule of differentiation to  find dydx   rule 1 : du±vdx=dudx±dvdx rule 2 :…

Q: x²-4 Consider the function f(x) |x - 21 a. Graph the function f over the domain 0 ≤ x ≤4. b. Using…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Determine the eigenvalues and eigenfunctions of the following regular Sturm-Liouville system:…

A: To Find: eigenvalues and eigenfunctions of the following system is: y''+ny=0, 0≤x≤3…

Q: The following symbols have the same :meaning yx (₂), x d² f dxdy a (of дх dx dy C) no, the first is…

A: Suppose fx,y is a function of two variables. To find the partial derivative of the function f with…

Q: In numbers 3 and 4, evaluate the given Inverse Laplace Transforms. L-1{ 41 41 + + - (s+3)5} s-3…

A: The Inverse Laplace Transforms of the given functions are determined as shown below.

Q: QUESTION 12 Which of the following polygons can tile the plane? 1: nonsquare rhombus II:…

A: Let us solve the given problem in the next step.

Q: Solve the following differential equations of [x²D²+3xD=3]y=x

A: Given DE is  x2y"+3xy'-3y=x ........(1)

Q: solve the following linear programming problem by applying the simplex method to the dual problem…

A: Let us solve the given LPP using Dual simplex method in the next steps.

Q: QI The Value of 481-13 f(0) integral * ex dx using Simpson's method 2 When =8 is O 65.3690 O 20.5304…

A: We need to find the value of 4∑i=1,3n-1 f(θi) when integral is ∫02xex dx using Simpson's method…

Q: 6. Let f(r) be a function such that: |S(CD|SE-D | SED -1) | f'(-1) | ƒ"(-1) | f"(-1) | ƒ(¹) (-1)…

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Q: 27. How many 3-digit odd numbers can be formed from 0, 1, 2, and 4 if the digits cannot be repeated?…

A: To find- How many 3-digit odd numbers can be formed from 0, 1,2, and 4 if the digits cannot be…

Q: Show the surface area and volume of a sphere with radius ris 4πr²

A: To show that the surface area of a sphere is 4πr2

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: + In Pascal's triangle, $15,8 15,9 a 16,10 (b) 15.10 - c) / 16.8 d) $16.9 I|II|

A: This question is related to Pascal's  triangle

Q: /Solve the following: ( ) 1 a) L-1 s(s²+a) 18z² (2 z-1)(4 z+1) b) Z¹

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Q: open disk 12 e open disk |w+1 − 3i| < 5. + 2] < I under the transic

A: Given open disk z⊝+1+i&lt;1. transformation as, w=3-4iz+6+2iT. To show the image of the open disk1…

Q: 3x²y dx (x³ + y³)dy = 0, y(1) = y(1) = -2 -

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Q: (x² + y2) dx dy ow urves y = x² and

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Q: Use the Table of Integrals to evaluate the integral. dx e*(5 + 10e*) Select the correct answer. O-e…

A: Use the given integral.

Q: Find f if f(x, y) = 2y y+cos x 2ysinx y+cosx 8 ysinx (2y + cosx)² B ysinx y+cosx 4 2 !

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Q: Solve following L.P.P by using Big - M Method..

A: To find- Solve following L.P.P by using Big - M Method. Max Z = -2x1 - x2subject to3x1 + x2 = 34x1 +…

Q: Solve the following differential equations of [x²D² + 3xD-3]y=x

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Q: The region bounded by y = 7x - x² and y = x about the line x = 6.

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Q: > For y, polynomial 1 », — D² - 2₂·[*²] Ур

A: To find: the value of  1D2-2x2