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Q: y dy J 725 – 16y 2.

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Q: f"Ve-1) de (e* a) (e ) da Ante 1) de Bos birak

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x) and the x−axis…

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Q: dy Given y = x" In (2x), determine dx a.x“-' In (2x) + а-1 None

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Q: an expiicit solu 'V1-y dx - V1- x² dy = 0; y(0): O 4+3/5 8 O 4-3/5 8 O 4-/5 O 4+ /5 2.

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Q: 6. y dy 1+√√y 11

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Q: ? Question Calculate * (z3y + 1) y2 dy dr.

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Q: EX. Evaluate the JoJex*+2xy+y*) dydx when step size of X = 0-2 and step size of y=o.5?

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Q: esing pyphagoras th, Diff wt to t 2xda +rydy 20 at da dt az3 m

A: Apologies for the inconvenience.   Let, x = the distance from the wall. y = the height of the top of…

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Q: dy Find if dx y = 4u? 6u + 5 and u = 4x + 5

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Q: dy Given a DE of dz 1-r-y using simple substitution, what must be your z? Ity Answer:

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Q: Solve equatian. the differentiql dy = 80-2y * Such that y=70 when x=0

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Q: 29. Evaluate I (x + y + z)dz dy dx. Jo

A: Consider the following integral:…

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Q: 2nsin (пx?) dxdy x2 0,

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Q: -dy (49 – y2 )

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Q: Find dey if 2:t - t' ond y:t-t". dx

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Q: S- - ydx + xdy, C: y² = 3x from (3,3) to (0,0) 01 0 3 O 0 2

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Q: Sove for dy 4 X3 hy= e*csch (2-y?)

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Q: In(y) dy V. 6.

A: This is a problem related to integral by parts. Based on the general formula of integral by parts we…

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A: Given: The function is,

Q: dx find . diven that x>0, using the substitution u =

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Q: Solve the egjuation ditferential (2x-3y+5)dx+(3x-2y+2)dy=0

A: Given the differential equation is                     (2x -3y +5)dx + (3x -2y +2)dy = 0

Q: If y = dy e7x+13 then- dx O 13e7*+13 O 8e7x+13 O 7e7¤+13 O 9le7¤+13 O 6e7x+13

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Q: Q2:Fid for : y = dy ncothx + sechx* dx

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Q: If u- f(x) where y=J x+y%*34 show thal do

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Q: • ["* [*, [° 42²y — 2²³ dz dy dz J1 1. Evaluate

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answers of rest,…

Q: Find dydt at x=3 if y=4x^2−4 and dxdt=3

A: Given  Differentiating with respect to x, we get

Q: 2ey? dy dx

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Q: Lind -2x+H where X- oro Zy

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Q: If x2 + y2 = z2, find dy/dt when x = 3, y = 4, dx/dt = 6, and dz/dt = 6.  (Enter your answers as a…

A: We would differentiate the given expression implicitly w.r.t. t, ........................(1)

Q: 4. Calculate | (6x? + 2ry + 3y?) dx dy.

A: Proceed as shown...

Q: dy If y e+14 then- dz 70e+14 O6e+14 D 4ez+14 O 14ez+14 5ez+14

A: Given, y = e5x+14  We have to find dydx

Q: У(xtanx + Inу)dx + tanxdy 3D C

A: The given equation is; y(tan x+ln x)dx+tan xdy=0

Q: dy x fanx

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Q: dy Suppose 12e3t and y(0) = 5. || dt What is y(2)? O 1505.7 O 1614.7 O 1635.7 O 1714.7

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Q: Sv? – 1),/y dy

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: dx = In + V4- r +c O True O False

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Q: Find f f'Lx) = ZR? +aX-S and %3D to FlO)=4.

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Q: Determine dx dy if y = r -e' and x In(4f)

A: (1) first we find dydt (2) Second we find dxdt (3) then we find dydx=dydtdxdt

Q: |(3nt?t? – t*) (3n² – t') dx - --

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Q: dy If y = e4a+19 then dx

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Q: Find dy/dr if y = r In(x). Answer:

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Q: Differentiate. y= In |3x-5x dy xp

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