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Q: 13. The range of the arcsin or sin(x) is: a) (0, 2.7) b)(0, 7 ) ) 0. d) 4 '4 e) 2'2 4

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Q: Q Find the derivativeof y)with respect tox; in the foltowina function s and u=3X 2 Find dy for the…

A: Given that  The functions  As for the guide lines to solve the one question but here I am solving…

Q: 4) y = e3r* dy A) 12x dx B) dy 3* . 12x³ = e dx dy 3x e C) dx D) dy „3x* - 1 . 12x = e dx

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Q: a). Find y' if sin(xr+ y)= y² cos x sin(x+ y)= y° cos x cos X by b). Sketch a graph of

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Q: sin'y 11) lim y--TT 1+cosy •TE1+cosy

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Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: 2 sec wdw a) 1

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Q: 3) Let PIASR ond Thi AxC ßeD. Then his a Anction. Te Ø # 4 B and ø 7b cD then that h'(Y x Y% ]=…

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Q: d cosx)= -sinx dy lim Cos(Xth)-coslx) ha0

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Q: Given the graphs of f(x), f'tx)and frx) determine x-coordinates of the points O 8, c,'D, E O show…

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

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Q: Cos X. is iF C3)?

A: Given,            Consider the function Fx whose second derivative is F''x=18x+3cosx.           Also…

Q: Differentiate: y = cot(xcsca) = cot x (xcsca - 1) csc (zcsca) Oy = cot x (xcscx +1) csc (xcscx) =…

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Q: 2 question Jet flz)= (7-1)sinllx-1)²+2y2) for fl)=0 ond 3= x + iy e ¢\ {13. a) Show that the…

A: fz=z¯-1sin(x-1)2+2y2z-12f1=0 and z=x+iy∈ℂ\1To show that: f is continuous at point z0 =1 and f has no…

Q: 15. Let fx)- Find tuntions +3 %3D Flalx) = get (x) =

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Q: Since the tangent equation of f(x) = x^3 – x^2 + 3x – 5 drawn from the x = 1 apse point on it is y =…

A: Given : Function  f(x) = x3 – x2 + 3x – 5 Tangent equation on the given function f(x) at point x =…

Q: Evaluate -I doc ezx ď'cax +2) where d'cax) is the derivative of S lx) delta function

A: Given :           ∫-∞-1dx e2xδ'(x+2)

Q: the impermissible value of x for the function y = 1 / (e ^ 2x-1) is: a) 1 b) 0 c) 1 d) e

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

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Q: Let fx) -x+ and go) - x %3D Derermine if the fanction f:R->R defined by fo) is anto fanchion Find…

A: (a) The given function is: f(x)=x3+1 The function is said to be onto if every b∈ℝ, there exists a∈ℝ,…

Q: Let f (x, y) = e(3x-4y). Find the equation for the tangent plane to the graph of f at the point (1,…

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Q: Sketch the level curves of the function f(x, y) = = I x+y for c= -6.

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: By applying the Cauchy-Riemann relations, determine if f(2) cos(2") is analytic or not.

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Q: d Compute [(2x² + 5)(4.x –1)] at x = Со dr

A: To find: The value of  ddx2x2+54x-1at x=12. Concept used: Product rule of differentiation f·g'=f…

Q: Let f(r) = |r|. The derivative of f at r = 0: Question 1. a) Equals to ±1 b) There are infinite…

A: the given function is f(x)=|x| we know that x=x if x≥0-x if x<0 to find the derivative proceed as…

Q: fhy Find derivative uslng differentiatlon do not Slinplify deriratives axtb CXtさ rules 1if(x)=…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Find the arclength of y 4x? + 4 on 0 < x < 2

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Q: Show that UV=12 given, UX = 8, and XY = 10 using the intersecting %3D Secant-Tangent Theorem. * U

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Q: prove that f(x) = x sin√x is not [0,00) uniformly Continums

A: fx=xsinx We have to show fx is not uniformly continuous on [0,∞)