(i) SS (x + y) dA, R: y = x³ and y = 4.

Q: Suppose the relationship between Y and X is given by: Y = 25 - 3X What is Y when X is 0?

A: Given,    The relationship between Y and X is given by,   Y=25-3X   The objective is to find the…

Q: Show that r: y = 3. 2n

A: Using two sectant theorem,  ∠n=12x-y  Multiply both sides by 2. ⇒2n=x-y .....(1) Using intersecting…

Q: Suppose the relationship between Y and X is given by: Y = 45 - 5X What is Y when X is 0?

A: The objective of the question is to find the value of Y when X is 0 in the given equation Y = 45 -…

Q: Solve for y: x³ + ¹y = xy + 7.

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Q: h.w: find Df, R1 y = Vx2 -6x + 8 %3D

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Q: 1. Convert the following difference equation into a first-order form: Yt = Yt-1 + 2yt-2(Yt-3 – 1)

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Q: L? + y) da + (x + y?) dy ; C: AB, A = [1,3] → B = [3, 0] C: AB , A = [1, 3] → B = [3,0]

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Q: 1 Find the fixed point and classify it: - 2x + 3y = 0. -

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Q: Find dy. 3 y=³√√x (6-5x).

A: Given query is to find differential.

Q: Find x and y AB = 4x+12, BC = 4+6y DC= 12x-60, AD= 3y %3D %3D %3D %3D B C A

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Q: y - y = x C. d. у +у — 7у — у + бу %3D 0 (4) y

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Q: xdy = (y - Vx² + y²) dx

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Q: Evaluate Jo (2x - y) dx + (x + 5y) dy. C: x-axis from x = 0 to x = 6

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Q: 6. Find (x + 3y)dA where D = {(x, y) | æ² + y 0}

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Q: answer the ff

A: 2. Given the differential equation,                        (1+y2)dx+(1+x2)dy=0.

Q: dy 2x2y+y 二 dx

A:

Q: Evaluate -42 (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7) X

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Q: Given (x² – y²)² = 4ay², find y".

A: Let's find.

Q: Evaluate: = -13 [(x + 5y) dx dy -41

A: I = I = I =

Q: Calculate Sc(x + y) ds, where C is the rectangle formed by de x=0, x=4, y= -1 and y=1

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Q: d.r. , (- 1) 1,

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Q: dy y =V 2x + Vx; dx

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Q: // (3x + 4y)dA where Find D D = {(x, y) | x² + y² 0}

A: Given f(x,y) = 3x+4ydA =dxdyarea bounded by the region x2+y2≤4,x≥0. It is a semicircle in the left…

Q: 3x |2y 4y (5х — 20)

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Q: to す x²Y- X

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Q: x²y+ 2xy = x + y ise y =?

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Q: Evaluate | (r + y)ds, c : x 3t, y = - 3t + 3, for 0 <t< 3.

A: Given: ∫C(x+y)ds, C: x=3t, y=-3t+3, for 0≤t≤3

Q: (yæ² + æ*) dy – (y³ + 2 y² a 3 3 y x²) dx = 0 - - –

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Q: 3) メo 4-2 find x t Y :

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Q: Y(Gyt-x-4)dx + 2x dy =0

A: let

Q: Find // (5x + y)dA where D : {(x, y) | x² + y? 0}

A: