I+ |1| is Continuol ly.

Q: Let y = 2x2. Find the change in y, Ay when x = 5 and Ax 0.1 Find the differential dy when x = 5 and…

A: We have to solve

Q: Let y 3x?. Find the change in y, Ay when x = 2 and Ax = 0.4 Find the differential dy when x 2 and dx…

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Q: Another particle has a velocity function of v(t) = [' 2'-* dx. What is the acceleration of this…

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Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.04. y = V3x – 2 A. 0.01…

A: Given that: y=3x-2x=2 to x=2.04

Q: Let y 5x? + 5x + 2. || Find the differential dy when x = 5 and dx = 0.3 Find the differential dy…

A: GIVEN: y = 5x2 + 5x + 2

Q: Let y = tan(5z + 6). Find the differential dy when a = 4 and dæ 0.1 %3D Find the differential dy…

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Q: e*dx cln 1 Calculate Jin 0.5 V1-ezx" (b)

A: We will solve this integral via substitution:

Q: Use the differential dy to approximate Ay when x changes from x = -3 tox = -2.99. y = x2 + 1 Enter…

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Q: 3. Linear DE of Order one 2y(у? — х)dy %3D dx

A: Linear equation of dx/dy form is made

Q: Find the differential dy. (a) y = xV7-x dy (b) y = (1+x) dy

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Q: Find the efeneral Solutim Of the differential equatim: (0?-40+3)y=x+ee+x?

A: Answer and explanation is given below...

Q: Let y = v6 – x. %3D Find the differential dy when x = 1 and dx 0.1 Find the differential dy when x =…

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Q: Let y = 5 x. %3D Find the change in y, Ay when a = 5 and Ax = 0.3 %3D Find the differential dy when…

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Q: Find the differential dy of the given function. (Use "dx" for d> y = 8x² – 4 dy = %3D

A: Formula :

Q: Let y = 5x?. Find the change in y, Ay when a = 3 and Ax = 0.3 Find the differential dy when x = 3…

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Q: d²y 1.) of y = sinInß and x = In(Inß) dx2

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: Find the differential dy. (a) y = xV10 - x dy = -2 (b) y = (1+x) ? dy =

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Q: d Evaluate In(et – t²)dt. Briefly explain your answer. dx '1

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Q: Evaluate the integrals

A: We’ll answer the 15th question since we answer only one question at a time. Please submit a new…

Q: Let y= tanx .(a) Find the differential dy .(b) Evaluate  dy and ∆y if x= and π /4 and dx =-0.1.

A: Given function is (a) Differentiating with respect to x, we get

Q: Siny dy = Cas y (l-x Cosy) Cauy) %3D

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Q: y = x2/3 dx 9.

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Q: Find dy/dx: a. y = cos t dt 0,

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

Q: O1 Find: fx³ cos x dx using Integration by parts b. ſ cosx? 2x dx using Substitution Method a.

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Q: Find the differential dy. y = ex/2   dy=

A: Here the given expression is y = ex/2. Apply the chain rule:

Q: Find work done from the followingW = G- sec²(3x)- V8) dx witch Gx +9 h used to stretch a spring from…

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Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

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Q: Estimate Ay using differentials. y = x/5 e3x-1 a = 1, dx = 0.1 (Give your answer to four decimal…

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Q: cos(2y - x) = 3ysin x

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Q: y = tan(e*) + ey %3D

A: Given function is: y=tan ex+exy We have to find y'.

Q: Q3) Evaluate triple integral (x2-y?)dz dy dx.

A: Introduction: When the integrand is a function of three independent variables, we use triple…

Q: Find the differential dy for y = xV1-x. Do not simplify your answer.

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Q: Cos y dy 1-siny

A: The given integral is: I=∫cos2y1-sinydy   As we know that; The trigonometric identity: sin2x+cos2x=1…

Q: (a) Find the differential dy. y = V 24 + x2 dy = V 24 +x?

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Q: dy/dx=(x+siny)/(2y-xcosy) is an exact equation

A: Given that dydx=x+sinyy-xcosy we need to check that it an exact equation

Q: tonomous ODE dy %3D dt

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Q: 25. dx is 1 (B) (©) ! (A) 2e (D) (E) divergent

A: see below the answer and calculation

Q: dy at x=0. dx If y = (3x² + 4x + 5)(e* – cos 2x), then find %3D -

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Q: f 5 J of work are needed to stretch a spring 10 cm beyond equilibrium, how much work is required to…

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Q: Integrate: IZ+x dx Cos(l+se)dt

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Q: -2x 11/E valuate the integral 2 é V1-

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Q: Find the differential dy of the given function. Y=x+1/3x-2 Dy=?

A: Given, y=x+13x-2

Q: Solve the differential eavations ydx xdy = 0 x' +y° +y?

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Q: Evaluck Ihe falloige intpuls Cor V dz b.ds e de 25+4x2 2.

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Q: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

A: Homogeneous equation to reducible form :                dydx=ax+by+ca'x+by'+c', provided ,…

Q: Q3) Evaluate triple integral dz dx dy.

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Q: Calculate dy/dx You need not expand your answer y=(x+5)( x2 - 5) dy/dy=

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Q: dy = t Vy – 3 dt

A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

Q: the separable Pential equation dy In(x³) dx ху subject to the initial condition У(1) %3D —3.…

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