Use one of the formulas in the equation A xdy f-ydx fxdy- ydx to calculate the area of the triangle with %3D vertices (0,0), (15,0), (15, 15). (Use symbolic notation and fractions where needed.) A =

Q: -0.17 1.78 The area of the shaded region is

A: The given plot of shaded region is,

Q: a) 1 -dr+ 1 dr = In a, find the exact value of a. Given that V16+9x? V9+4x?

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Q: Let y = 2x + 2 and t = x + 1.What kind of variation do y and t have? Explain.

A: Given: y=2x+2t=x+1

Q: the g S, (x + y)e**-y*dA where R is the rectangle enclosed by x – y = 0,x – y = 2, x + y = 0, and x…

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Q: Make y the subject of the formula y-z y+z OA. y = cz - z B. y = x+1 2z C. y = x +1 x +1 D. y

A: given⇒x=y-zy+z⇒x(y+z)=y-z⇒xy+xz=y-z

Q: is these the Same? yCx²-a)+l= Cye %3D 1= Cxパ-)yt Cye

A: topic - equations

Q: make outbound JÄ x -4/3B = -12Ã ·B Jän; B A 0 = the corner achieve True false

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Q: хр %3D хр if y = In(7x2 + 6y?). Ap %3D Find seng OM

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Q: Vx e Z, 3y e R, y² = x

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Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

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Q: The table gives values of z = f(x, y) on the rectangle Rwith 0 < x < 4 0 < y< 8.

A: Over and Underestimate: Remember that a planoconcave-up performance is one that's higher than its…

Q: a + 8x + 7 into the form y = (x – h)* + k: deo M Message instructor

A: We will find the required form.

Q: In the diagram, OB bisects &lt;A0C and EC ± OD.Find the value of x.21. m &lt;5 = 2.x. m &lt;3 = x22.…

A: The figure is as follows: Here OB bisects &lt;AOC. So &lt;AOB = &lt;BOC m &lt;4 = m &lt;5

Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

Q: Use the diagram below. (AB Į GC, AG| BE and AF | 3D )

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Q: f circle, x2 + y2 = S.

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Q: Use separation of variables to find a product solution to the following: d²u du -u, k>0 dr -U= dr² k

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Q: Eliminate the Arbitrary Constant 1. Y? + Cx? – x = 0

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Q: O Find the linearization Lcx) for fex) 3x -8x+7 when a=

A: We will find the linearization L(x) for the given f(x)=3x2-8x+7 when a=-2 in the following step.

Q: Given h(x) = 5x – 2, find h(5). %3D

A: On solving ,we get

Q: Given x2 + y = 4, find %3D

A: Derivatives

Q: If possible, write 1 5x + 5æ? as a linear combination of æ – x2, 2x – x? and 1+ x. Otherwise, enter…

A:

Q: Which equation can be used to solve for z in the following diagram? (2x + 15)° 65° Choose 1 answer:…

A: Given two angles (2x+15)° and 65° We have to find x

Q: Use the y = {a1,... , am | ß1, .., Bn} notation t

A: Given,           γ=α1,  . . ., αm| β1, . . ., βn

Q: a-d

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Q: B) Find real numbers x, y, z for the identity below 2xi + 2yj- 2i + 3j + 2k = 3i -j+ zk

A: (2x-2)i+(2y+3)j+2k=3i-j+zk On comparing both sides

Q: Given the ODE 2y'' - 5y' - 3y = -9x2 - 1;  y(0) = 1, y' (0)= 0  determine the value of y' at x = 3

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Q: Find which of the following quadrature formulas are of the interpolatory type. Show your analysis.…

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Q: xy? Find R -dA, R = [0, 2] × [- 1, 1] x2 + 1

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Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

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Q: Find the real values of x and y such that (x + iy)2 = -8 + 6i.

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Q: Find the constant C such that * x3 – 3x + 8 < C, where x e [0, 3] | 18 O 23 14 17 O 26

A: We have to find c

Q: Consider F = (5xyz, 5x² + 5y² + 3z², 8x + 4y + 3z). %3D Then curlF = (4+ Az, 5æy – 8, Bx – 5æz) What…

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Q: m(z + 3i) = 6

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Q: Determine the value of k if |I +k dx = 2.

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Q: Find the value of zo so that dz = -2ni Pst-12 (= – z0) (z – 14i) |

A: Given ∮|z|=12z(z-z0)(z-14i)dz = -2πi

Q: Find and a and дхду f(x,y) = x2 - y2 + 6xy + 4x – 8y + 2 a. b. f(x, y) = e*y + xy

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Q: form, e.g. '2' 1 1 | 119 V2 V2 3D (-3_3 3 ;\7 3 V3

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Q: Write the following equation in the form w = u(x,y) + iv(x,y) h(z) = (3z + 2i) / (2z2 + 4)

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Q: 2 dA; R= {(x,y): 0sxs4, 9sys 16} R

A: Double integration

Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is:

Q: Find EF in the trapezoid. A 5 E F 3x+5 7x+2 EF=

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Q: If F = 3x?i + 5xy²j+ xyz³k, find (V x F) at the point (3,1,2).

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Q: a is the value that will make the equation exact. Fincd 2a -a?. 2xy3- 3y - ( x tax²y² - 2ay) y'• O

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Q: Vx e R, 3ye I, x – y = 8

A: The given statement is

Q: (a) Find where x² + 3xy + y² = 3 at (√3,0). da

A: topic- implicit differentiation

Q: Find values of a and b for whichLim x approaches 0((cosax-b) / 2x^2) =-4

A: First we let b=1 and use substitution property of limit to check if it is 0/0 form or not . SInce…

Q: Find and of a = V1-tand y = t - 3t? %3D = -4tV1-t %3D =-4tV1-t 4 4t V1t 4tVT+t

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Q: What is the form of y, given (D² + 9)y = cos3x С. Ур 3D х(Asin3x + Bсos3x) Yp = x²(Asin3x + Bcos3x)…

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…