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Q: fany)=y+x3-6xー6y 2. y+2 function is given a) Fird, your critical Points of f ? b)Find all the…

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Q: O The radies of cervateere of y=X+22+1 al X=0 g @) 을 2 O 5% (d) o 2 O The asymptotes af the Coerve 2…

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Q: a mathematician designs a patio for her backyard to follow a particular curve.  a region of the…

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Q: find the max im um anel minimum Limits of the functibu n Fix.y) = x"+y"-2x²- 4xy- 2y²

A: The given function is F(x,y)=x4+y4-2x2-4xy-2y2    …..(1) Differentiating partially with respect to x…

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Q: -S Integrate the fallswing funChinin ver the given re R: y24x-x and yex

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Q: 84252g i find the interval of canvergence of tbe parer Senes 18

A: Radius of convergence is infinity And interval of convergence is whole real numbers.

Q: that flxiy) is 10. Assume form flxıy)- 12. a function of the 2? 10 り x4 ) lyl27" 0; otherwise Prove…

A: To prove- If the given function is differentiable at (0,0).

Q: Define fi z-> 2 xZ by Ala)l (2,72t1) if xis even 18,0) if t is odd a) Is f injective 2? b) Is f…

A: We have f:Z→z×z Such that fx=x,x+1     if x is evenx,0          if x is odd

Q: Lef tlxiyA) = (x?4y", yaz', ²+z*), Show that fý differentiable at ll,orlthen find Dfll,o)as…

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Q: ?(?)=13⋅?^3−11⋅?^2+11.   a) Then f has two turning points at ?= and x=  b) The absolute maximum…

A: Given question : ?(?)=13⋅?^3−11⋅?^2+11.   a) Then f has two turning points at ?= and x=  b) The…

Q: A cunve is clefined inmplicitly by the equation =6x X 3 +53 a)use implicit differentiation, compute…

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Q: 18. 19. The curve y = x³ – 3x² + 2 has an inflection point at the point: a) P(1, 0) b) P(-1, -2) c)…

A: 18) Given that : We  have  to  find  the  point  of inflection of the  given…

Q: use the definition to find the derivetive of feconction fcx) = 「X+/ and obtain Hりe equabion of ナんe…

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Q: Error Estimates for Midpoint and Trapezoidal Rules: Let f"(x)| ≤K on the interval [a, b]. Then, EM₁…

A: Let y=fx be continuous and possess continuous derivatives in x0,xn=a,b. Now expanding y in a Taylor…

Q: Use ß- function deźinifion af pirivative to Prove that f is differentiable at2, then f is continnos…

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Q: use the Fundamental Theorem of line Integrals to evaluate F. dR, where F (*.y) = < y. - X and C is…

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Q: a) Find the intervals on which f is increasing b) Find the intervals on which f is decreasing c) The…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: of tue reigon boundrd by the graph of tue algebraic fundin. 2) Find tue asea f(x) = x+12x +36 2 =…

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Q: De termine an inter val Ca,b] on which figed pointiteration wil1 Con verge, for the equatron X= x2+1…

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Q: P = (1)/ ) Determine the intervals on which f is concave up and concave down. is concave up on: is…

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Q: a) If the y-coordinate of the derivative function is negative over an interval, then the function is…

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Q: Find the Values of Constunts a, boc that maximum Value of divectional direchive. of T= any+Lyg+cg,at…

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Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: identify is: O Given that fla) = x4 - 4x3+5, the interval shere @Decreasing Increasing Concave up…

A: We will use derivative test for Checking Monotonic nature and Concavity nature

Q: Find the Avorare valne of Hhe famdtiun en the interal [ 0,4J VI+ 2x

A: Average value of the function on a given interval is 1/(b-a) integration of a given funtion…

Q: Could you continue solving this problem using  applied analysis.

A: The objective of the question is to estimate the interval of existence for the given initial value…

Q: the f17)= ez function Show whether Ana lytic equationg is using Cauchy- Riemann

A: Let z=x+iy, where x and y are real numbers. The function fz=ux,y+ivx,y, where u and v are…

Q: #4) What valwes of c Cif anu) are predicted by the Me an Vae Thearem for the function fex) = (x-32)o…

A: The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and…

Q: Which of the following statements is TRUE about f(x)= |2x-4|? a) f'(x) = 2, for all x not equal to…

A: Given expression is  f(x)=|2x-4|

Q: Låt f(r, y) = (x² + 3y²)e=²-v². a) Bestäm samtliga kritiska punkter till f. Obs! Du behöver inte…

A: To find the maximum and minimum values of the function f(x,y) on the set D, apply the following…

Q: Sketch the level curves when z = 5 and z = 8 for the function z = z + y? + 4. Hence, sketch the 3D…

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Q: las For the folowing bunction f(u) - 2)c? -3jc +3 2)c' -3jc %3D n'-qut2 which Irunction O Find Hhe…

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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&lt;0 to find the derivative proceed as…

Q: Find the absolute extrema of the function with its corresponding constrain. a) f(x, y) = 4x + 6y; x²…

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Q: let f: R^ -> R be a function given by 2 f(x₁, x₂... x₁) x.x²2. x²n, where = € 2.1 Show that the…

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