PN bisects MQ ZM and 2Q are right angles ΔΡOR ΔΝMR Given: Prove: R

Q: So S zy dy dx 4 c2 1 Show all steps to evaluate by hand: Vx 2y3+1

A: We have to evaluate the integral                                                    ∫04∫x212y3+1dydx

Q: Find the area bounded by y =-2x + 4,y 0, x 0 by using horizontal elements. -2 A. -2x + 4 dx y 2 - dy…

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Q: in minnetel for 1 that had éloped fn an lmde f tocomndel O4432 O 29 7.2 d) 290 8

A: For the function: y=f(x), the independent variable is x and the dependent variable is y.

Q: dx Using half-angle substitution, the integral reduces to 3+ Scosx dz A dz B dz 422-1 2 dz D 322+…

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

Q: dz where: IZ]=1 e e O 2T O 27i

A: Given:  ∫C f(z) dz = ∫Ce1z dzHere     f(z) =e1z…

Q: TT TT csin x Evaluate: " S S sin y dz dx dy

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Q: DE 12 in $ %3D DE bisects OF find the Radis. E 6.

A: Need to find r

Q: dx dy √5+2x²+2y² Where R is circular area has radius a. Centre of region R is point (0, 0). 2.…

A: The objective of the question is to evaluate the double integral of the function √(5+2x²+2y²) over a…

Q: z dz 2z ² +(1+i )z -i C is the circle |=|=2

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Q: 3. Find the points of inflection: y = x- 2cosx

A: We have to find inflection point

Q: 2xy x² + y? Evaluate dA where R is the region in the first quadrant bounded by x2 + y² = 4, x² + y²…

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Q: An enclosure is to be built adjoining a barn, as in the diagram. The walls of the barn meet at 135…

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Q: Given f(x, y) = - 5a4 – 4x²y³ + 6y°, find - fa(x, y) = fy(x, y) = %3D fez(x, y) =

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: +SxVI- xª dx = ÷J gle) de, theni

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Q: | Let C be the quarter circle centered at (2,0) that goes from (1,0) to (2, 1). Evaluate the…

A: ∫c y2xdx + 4yxdy=? We know that this form of integral is solved by Green theorem: ∮cP dx+Q…

Q: EX: Show that o dz =2TL whcre CIS a unit Circle. Sal: Z= re. io dz = ire do ig ir e de %3D = 2i Note…

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Q: 29. * r dx tan? r sec

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Q: dy Si y = VI (donde z 0), entonces calcule dz Seleccione una: dy O a. dy O b. dz 2x 2 dy O C. dr 4x…

A: Objective is to find the derivative.

Q: R Given: RT = QT, AT = ST A s, Prove: AQSTARAT

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Q: . Evaluate F dr, where F(x, y) = ryi+z'y²j, and C is given by r(t) = ti+tj. 0sts1.

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Q: dx dx メp て

A: Differential Equation: dydx=x+y+1x+1Let us put a substitution y=vx we get,dydx=v+xdvdx

Q: dz and Q\ let z = In (² + 1) where =r sine find dr OP

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Q: Given: Find: f(x, y, z) a) fxyz 2 c) fyzz d) faxy. cos (4x + 3y + 2z) (10 pt each)

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Q: dy + 3y = x?y dx Classify the following DE: e Select one: a. Seperable and Bernoulli b. Seperable…

A: exdydx+3y=x2y exdydx=x2y-3yexdydx=yx2-3dyy=x2-3e-xdx So, the given differential equation is…

Q: Osx 5. Use the Second Fundamental Theorem to find : S V4- t3 dt (7 pts)

A: follow next step