use L'HOSpital's rule ro show that lim 2tanx イ→ % rc 2x

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

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Q: If we use Trapezoidal rule to approximate * f(x)dx then find the value of x2, where n= 6 Select one:…

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Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

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Q: if y = secx prove that y^2+y=2y^3

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: given f(x,y)=ex^3 . y^8-x8y3 ,show that fxy=fyx

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Q: Let f(x,y)=tan^-1(y,x). Find and simplify fx and fy. Then find and simplify fxx, fxy, and fyy.

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Q: 8. f sec² (3x - 1) dx

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Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: Integrate xtanx with respect to x

A: We have to solve this integral by  Integration by parts rule, Formula is  ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: Let f(x)=x^3−x.Find where f(x)<0.

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Q: dr(sec'x) dx

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Q: Y"+y=secxtanx

A: Given, y'' + y = secx tanx This is a second order linear, non-homogeneous ODE. We can write the…

Q: I (sin h 5t *cost)

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Q: Letf(x) =x^x^xforx >0.Findf′(x).

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Q: The question is:  y=(x^2+x^3)^4 , find y’

A: The given equation is y =(x^2+ x^3)^4.By the chain rule of differentiation, compute y'.

Q: use tangent lines to find a b c using f(x)= ax^3+bx+c with intersections at -2,-2 and 1,1 with a y…

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Q: lim =cos メ→! X-1

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Q: Find the linearization L(x) of the function at a. f(x) = x^4/5, a = 32

A: Given data: Function: f(x)=x45 a=32

Q: Ex) Consider flx)=x^2", x= 1.7,2.0, 2.3,2.6,2.9 P foruard diff. central diff Backuard difp. find…

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