e) lim 1-cost sin²)

Q: lim x sin

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Q: 2 sec wdw a) 1

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A: Given integral is ,             ∫01sin(x2) dx Estimate the given integral by using , (a).…

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Q: What is the ordinate of the point where the graphs of the functions f (x) = arccosx and g (x) =…

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Q: Solve the given initial-value problem. y" + 6y' – 7y = 13e2x, y(0) = 1, y'(0) = 1 y(x) =

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Q: 4. a. b. C. 1 (x²+3x)5' determine the derivative by using the: Given y = İ. ii. quotient rule chain…

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A: We know that x2+y2sin⁡1x2+y2≤x2+y2 , as maximum value of sin⁡1x2+y2 will be 1 and 0≤x2+y2sin⁡1x2+y2…

Q: 1.) Find the derivatives of a.) y = 3e²x — 2lnx + arcsec x

A: the given equation is

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Q: e) ay +sina-l, (,a) Equation of tangent 2.

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Q: 2t dt (use trigonometric substituion) V9 – 4t2 -

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Q: 13, mz1=(x² +7) and mz2 (2x² + 19)".

A: we have to find the angle between the floor and the light beam.m∠1=12x2+7°m∠2=2x2+19°sincem∠1=m∠3now…

Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

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A: Given limit expression is,

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Q: 5)find y y= Inl-decx +tanx)

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Q: Match each function (a, b, c, d) with its derivative and explain how you knew. Not all derivatives…

A: Match each function (a, b, c, d) with its derivative and explain how we knew.Not all derivatives…

Q: Lind Lim Sin'(Ox) sin (sx) X-o

A: According to the L'Hospital's rule, if limx→mf(x)g(x) takes the form of 00 or ∞∞, then limx→m…