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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: 5) (x- 4)² + y² = 9 Center Radius

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Q: 6. Where does the tangent line to r = at the point (1, 0, 1) intersect the y-z plane.

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Q: U Tangent prom (0-1) to y² = n³ passes through (4,8) (1,-1) (1,1) (3,4) A₁

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Q: Tangent to the curve z2 = 2xy + x2 , z = 3 , at the point ( 1, 4, 3) %3|

A: For a surface of the form: f(x, y, z)=0, the equation of the tangent at x0, y0, z0 is defined as…

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: Prove that the tangent lines to the curves 5y – 2x +y³ – x²y = 0 and 2y + 5x +x* – x³y2 = 0…

A: Given: - The statement is, The tangent lines to the curves 5y-2x+y3-x2y=0and 2y+5x+x4-x3y2=0…

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: Let fog- X-1 when-x+- Féndalle of fwthah cail makefis continulous at x-l-

A: For the given function we have to find the value of f(1) such that it make the function continous at…

Q: 15.let flx)= 3X^+X-4 ax^-15X+25 the function hasS: DAyinterept at the point a) X-interceto at the…

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Q: is homeomorphic to R, where f (x) = tan¬1 x. 2'2 1) Check

A: Given: The function is fx=tan-1x To check: The map (-π2,π2)→R is a homeomorphic.

Q: What are the: Local Maximum Points Local Minimum Points Inflection Points

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Q: Y 4 1.2) ["se sec ¹ √e de e 20) ff 2² 1 x² ln x dx

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Q: How would you remove the dis . z46 f(r) =

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Q: dx Cane:2e-25x

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Q: I, Use Stoke's theorem to evalueate S.Fidr, where F Cau2)= - it +x3 + 2î aind C is the Ceurve of…

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Q: Is z=0   is not singularity ?

A: As per the question we are given the following function : f(z) = z3 sin(1/z) / (z + 1)2 And we have…

Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: Shaa thut the graf of lincs iju fins rom F from E Iwhore is a iomasphic wilh Ge(5)

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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: Which of the following is/are points on the curve y-x Br+ 22x - 24x +9 whore the tangent line is…

A: We need to find the points on the curve where the tangent line is parallel to the x-axis.

Q: Consider the function f( + ty)- 3z²y+i ain z nw that thin funeticon does not satisfy the…

A: a) The given function is: fx+iy=3x2y+isin x Cauchy Riemann equation:  Let fz=u+iv be a complex…

Q: 2. 23 Find the deivahive 6f the funotion at Po in the direction of the vetor e : a) fCxig)= 87y-3y,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: f (x) = arctan(e“) ise ƒ '(-1) =?

A: To find the derivative of  f(x)=arctan(ex) at x=-1

Q: Given that F(x)= a) - S b) c) d) 1-4 √₁² +1 dt Find F'(x) Find the intervals of x over which F is…

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

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Q: Theorom:- Let f-3GDCI); XoEIthen O TfaeR then a fisdefferantible at (a P) (xo)= QP(xo) D ft…

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