Solve the differential equation. dy 3 2x – 0, y = 3 when æ = 1 dæ Using x^2 for r?. O y=x^2+x^{-3}+1 O v=2 +15 x^{-5}+1 y=x^2+x^{-3}+C O y=x^2+x^{-3}- 217/27

Q: Find the linear approximation of f(x)=lnx at x=1and use it to estimate ln⁡(1.3) L(x)=? ln 1.3≈?

A: First find the linear equation at x=1  then find the approximate values

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A: Note :- These are multiple sub parts questions and according to our company guideline we can do…

Q: 7. * In [In (In æ)]

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A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

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A: Quotient Rule of differentiation :  ddx (uv) = v.dudx-u.dvdxv2. dxndx=n.xn-1

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A: for fixed point f(x) = x x = tan(x)

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A: Solving

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A: Topic = Trigonometry

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Q: Determine where the local maxima and minima occur on the graph given. 12 10- 6- -12 -10 -8 -6 10 12…

A: Given query is to find the location of local minimum and maximum.

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Q: -1/4 4. J1/12 Je+atvE 2 dt

A: This question can be solved using integration by substitution.

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A: Given problem:-

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A: We have to evaluate the limit                                                limx→036-x2-65x

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Q: Let D be the tetrahedron in the first octant bounded by the coordinate planes and the plane 6x + 3y…

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

A: Average Cost = C(x)x. Marginal Cost = C'(x)

Q: Write the form of the partial fraction decomposition of the rational expression. бх — 1 († – x)x A В…

A: (6x-1)/x(x-4) it is very simple because in numerator there us multiplication given so A/x + B/(x-4)…

Q: Evaluate | sin(In t) dt. t sin(In t) – t cos (In t) -t sin(In t) – t cos (In t) . . 2 2 O Option 1…

A: Substitute u=ln(t) ⟶ du/dt=1/t dt = tdu t = eu ∫ eusinudu we use integration by parts ∫fg′=fg−∫f′g f…

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A: We want to check true or false.

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A: Given  Initial height = 32 feet initial velocity = 16 feet per second  a(t) = -32

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Q: 10 cm 10 cm 10cm

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Q: 1.

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