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A: We have to factor 54-3x-x^254-3x-x^2=(6-x)(9+x)

Q: Q.2) The basts of the equatioon y'' + y" = 0,are: b) 1,1.e a) 1,1.e c) 1, x,e²* d) 1,x.e" 0 about

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Q: Parameterize the intersection of z = - Vx² + 7y² _and x² + y? + z? = 200

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Q: 3. x = In rhombus DEFG (4x + 1)° (6x - 5) Blanks with this answer: W L. :: 2 :: 3 3 8 : 14

A: Given query is to find the value of x.

Q: The coordinates of a particle change by Δx = 5 and Δy = 6 as itmoves from A(x, y) to B(3, -3). Find…

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Q: TW is the midsegment of the trapezoid UVXY. If XY = 20 and TW = 30, what is UV? Y U W V UV = Submit

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Q: 4*(x³)dx

A: Note: It is assumed that Simpson's rule, Trapezoidal rule, Boole's rule are being asked for the…

Q: 4. Find the inflection points and determine the concavity. y = t - 6t +4

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Q: proof that: b2 y | VB? - y? dy =Vb² – y? + sin b + c 2

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Q: Q1 Find thr relative maximum and minimum of: fx, y) = x² + y² + z?given that 9x? + 4 y² + 2z? = 36…

A: Consider the provided question,  minimize and maximize, fx,y,z=x2+y2+z2                        ....1…

Q: Q/ il you know that X=t+ and Y- t- them the Value dy it egual 0 -4 导一 -3 No of the a bove4

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Q: Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the…

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Q: 26 value. = 12. Find y. %3D 20 rcise 6?

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Q: 2 x³ In(x?)dx

A: C. Trapezoidal rule with N = 10

Q: Consider the trapezoid. (2x + 2) units (3x – 1) units 4 units (2x + 5) units What is the perimeter…

A: Given a trapeziod length of all four sides of trapezoid are 2x + 2 units, 3x-1 units, 2x+5 units and…

Q: Consider the trapezoid shown. J K 4 y 10 P M What values of x and y would prove that PQ is the…

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Q: dx, using two and three points Gauss Quadrature Q4 (a) Approximate the value of

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Q: 18. Isosceles Trapezoid with Midsegment 24 5y-6 y = 131 9. 12 18 (5x-1)

A: The opposite angles of an isosceles trapezoid are supplementary. So we should use this property to…

Q: Q21: show that the line x=-1+t,y:3+2t, 2=-t dud the plone 2x-24-z=-3 are paralle . Find the diitance…

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Q: c) Show thiat det a q² -k-1)(61)-) I <a<b %3D

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Q: Q3/ Find length of the cardioid r-a@3from 0 = 0 to 0 = n %3D

A: The equation of the cardioid is r=aθ3. The length of the cardioid is given by the formula,…

Q: Q/ il You knuw that X= t+ and Y- t- then the Value dr it egual 0 -4 ーて -3 No of the a bove4

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Q: 26. f(y) = y(2 – y), g(y) = %3D

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Q: (10n + 19)° (12n – 4)°

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Q: 2. f: (R. d) -→ (R, do) is cont inuous at 2 a. True b. False

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Q: Taenh ty whether the equation is partal or ordinany, mear on non lher and its onolen A. 6. yMa 3ytt…

A: We have to find whether the given differential equations are partial or ordinary, linear or…

Q: z)dy + (y -y of the triang Land (0 o 6)

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Q: TC 2 esin(xdx, for n=8 Evaluate: using (a) Trapezoidal method, (b) Simpsons Methoe

A: For (a), Trapezoidal Rule:

Q: 8. Estimate the value of x³dx by using the Trapezoidal Rule with n = 4. 8 19 22 36

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Q: 6. The figure is a trapezoid. q = - 13 24

A: Due to our guidelines we can only answer one question at a time , therefore i will be doing Q6 for…

Q: ISE THE DEFINITION TO FIND 0くtz2 fee) = t. tz 2

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Q: Given: Right AXYZ with mZX 45° and XZ = 8 Find: YZ and XY X Exercises 5-8

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Q: Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the…

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Q: alve the following problem by y' = 1 ++ xy yca? = 1 , k = 0.1 a two-step methad.

A: Please refer to the image below

Q: Dketch a 3-dhensranal grapn of the equetey 1巻)Z-6-2ーy2 ×Z0 42O 2) 0-

A: 1) given equation to draw the graph is z=16-x2-y2 ,x≥0,y≥0 since x,y are positive the graph will be…

Q: Q3/ Find length of the cardioid r=a03from 0 = 0 to 0 = t %3D

A: By using length formula we find the length of given cardioid as follows :

Q: Q4) find the soluation of differention equation using exact equation 2) 2xy' = 10 x³y² + y

A: Given differential equation is 2xy'=10x3y5+y The above differential equation is solved as shown…

Q: 17. Isosceles Trapezoid with Midsegment 32 72 2x-5 (5y-2) 13

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Q: The ordeng and transportation Cost C Cin hundred of dollars) for automobrle dealership is modeled by…

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Q: Inside the sphere x2 + y2 + z2 = 16 and outside the cylinder x² + y? = 9 %3D

A: The mathematical expression to calculate the volume by double integral. V=∫∫f(x,y)dA=∫∫f(x,y)rdrdθ…

Q: Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the…

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Q: 27 hPlans that pas Ses through the Point C60,27 and contains the like メt4-2t)ソ= 34st) Zzス+4t 7.

A: Recall: General equation of a plane :     An equation for the plane through (x0, y0,z0 ) and…

Q: 25. f(y) = y?, g(y) = y + 2 %3D

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Q: In class probler' Find an equatfian qua f(x)= a.b* %3D By finding coustants to If f(-2)=45 and f (3)…

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Q: Trapezoid with Midsegment 3x+2 Perimeter = %3D 2x+4 12 16 2x+1

A: Given: In trapezoid ABCD, AB || CD and EF is the mid-segment.

Q: Q.2 Evaluate (i) Using Trapezoidal rule by takingh = 0.2, h = 0.5 & h 0.25. %3!

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Q: R 1. If OR 1 PQ at S, mLP = 30 and PO : 12 cm, Find PQ. %3D %3D

A: Explained below

Q: 10 Q5/ Evaluate x*dx ,n 5, using trapezoidal rule.

A: The trapezoidal rule formula is: ∫abf(x)dx≈∆x2f(x0+2f(x1)+2fx2+...+2fn-1(x)+f(xn))...(1) where,…