H.w1: evaluate fe* siny dx dy i) using the trapizodial rule in both direction, Ax= Ay = 0.1 ii) using simpson's (1/3) rule in both direction, Ax= Ay = 0.1 DELLO TOTLO n CLOUD (3) suter di sa

Q: 5. Solve d²y dy dx² dx +2 + 5y = sin 2x, given that y(0)=3, y'(0)=0.

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Q: dy B) Find for all the following dx 1) y = sin-13x 2) y = In(5x) 3) y = Vtanhx

A: Solution: As per our guideline we are supposed to answer only first three question please repost…

Q: Q3) Find dy/dx if 1- y= In x 2- y=x sinx+1-x

A:

Q: How long will it take to drive 700 km at 100 km per hour, if you take a 1-hour break after every 5…

A: We have to find time taken to drive 700km using given data. We will use formulaes,…

Q: Let y tan 1)2x then dy/dx at x-1 is

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Q: Hiw/ Find F'(x) 1. if F(x) = x, tanx 2-if y = Sinx it casx 3- Find g" ()if y co) = Sec y ex) g ex)…

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Q: 13. Find mzEDC. (9x- 1)° EE C. A (2r + 13) D

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Q: Which of the following is the tangent line of the para- metric curve a = e'(sin t + cos t), y =…

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Q: (x + siny - cosy + 1) dx + (xsiny + xcosy)dy = 0

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Q: əz əz When e* = xyz, find and əx ду'

A: The given equation is ex=xyz. So, ex=xyzz=exxy

Q: DIFferentiate the following hyper bo licFunctiors. +6) = sin - (tan 3x)

A: We will answer the first question since exact one wasn't specified. Please resubmit the question…

Q: Hiw/ Find F'(x) 1 x, tanx if F(x) = X 2-if y= Sinx 3-Find y" (I)if yex) = Sec

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Q: Example: Evaluate J = e-x dx by using trapezoidal rule, n=10.

A: Given J=∫01e-x2dx and n=10

Q: 3) y tan-1(y²) dy

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Q: 1.1: If y2 = x² + 2xy, then dy y+x dx a) y-x b) 2x + 2y x+1 c) y d) - x corre None of the above ||

A: Given y2=x2+2xy

Q: 5) What is the maximum value of y = 5 Cos 4x ?

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Q: (1) whot is 'the value of n that the xyn=c are per pendicular Curves とっ the Curves 1- mx

A: 1) What is the value of n so that the xn+yn=c curves are perpendicular to the y=x1-mxcurveGiven…

Q: Show that+ = 0, %3D ax dy? where f(x, y) = In(x² + y²) + tan¯'(²) %3D

A: The partial derivative of a two variable function fx,y with respect 'x' can be calculated by…

Q: S*(1+v*) -\dv (cot-ly2) 2.

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Q: 2. f" S"(sinx + cosy) dx dy

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 6. (6x°-4x² +1)*

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Q: 1. dly dx 64XY

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: dy b) Find dx Y=cot4 (sinx) XU

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Q: 8) a) Find dy/dx if: e3x = x+y b) Differenctiate y = (sin r)"

A: We know that general derivative of d(xn)/dx is nxn-1. And derivative of d(sinx)/dx = cosx  d(lnx)/dx…

Q: An environmental engineer wants to evaluate three different methods for disposing of nonhazardous…

A: GIVEN

Q: 3.) dx + e dy = 0

A: The objective is to find the solution of the differential equation.

Q: What is the characteristic equation for dy 2. dt d²y y +2+e' sin 3t dt 2

A: Characteristic equation for the given differential equation:

Q: Sohue the fallowing differential eguatious. d'y odx? "(dx) 2 2. cly

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Q: 2. e*. cosy dx + (1 + e*) siny.dy = 0

A: The given differential equation is

Q: 1.) xy3dx + ex^2dy = 0

A: We need to find out the solution of the differential equation.