42) Find the aritical mumbers of the function. gle)= S-x²

Q: If w = cos(xyz), compute for 82 w дудz

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Q: 3- Show that the local truncation error at the pint (ih.jh) of the Crank-Nikolson approximation to…

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Q: 2 4 00 5 of 21 _Math_GR6_CFA2 raphed below has an x-coordinate that is less than 0 and a…

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Q: Let C be the shortest path that connects a to ni and I = S, (coshz – 1)dz. Then %3D O I=-sinh n+…

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Q: 3) Show that the tangent(45°) = 1. Let "u" = 22.5°, use calculator %3D

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Q: 2) Show that the cosine(45°) = V2 * (0.707). Let “u" = 22.5°, use calculator. %3D - 2

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Q: ! = 0.25y² is to (implicit) Euler's condition y = 1 at What would be th

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Q: 7) The diameter of the base and the height of a closed right circular cylinder are measured, and…

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Q: 5) Let à = psin(4)ū, + p² Ug Evaluate f Ã. dl given that L is the contour of the following figure.

A: Let A→=ρsinϕu→ρ+ρ2u→ϕ we have to evaluate ∮A→.dl→

Q: Find the limits in Exercise

A: We know that, limx→∞sinxx=0            ⋯⋯1limx→∞ax=0            ⋯⋯2      for any constant a

Q: 1. Prove that the composite trapezoidal rule with h = 2-i, i E N, is exact for ſ cos? (Tx) dr

A: We know that in composite trapezoidal rule, we approximate the integral as follows: ∫abf(x) dx ≈  h…

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A: Given, cosjx,coskx, ∋j≠k, k≥1 if inner product of two function f(x), g(x) on the interval [a,b]…

Q: Led xe R be such thad Xn→x, show that %3D

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Q: 1. Compute P(8), and find the exact values of the six circular functions given that e =- 135°. %3D

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Q: alue of the pur C: |z| = (:-1)(z-

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Q: 3. Find all the fixed points and classify cach of them: f(r,u) ryev,

A: Solution:- Fx,y=xye-x2-y2 Put Fx=0 and Fy=0 Fx=e-x2-y2y-2x2=0and Fy=y-2y2 e-x2-y2=0 So,  0,0,12,12,…

Q: and casy=0t, and DLyr, Furd the exact alue of tan Ca-y.

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Q: 8 (6562) 243 를-), then xo = If the length of the curve y = 3 x7 from the point (0, 0) to the point…

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Q: 3- Vn n=1

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Q: On which interval is the IVP (x sin x)y' + 2y = x +1, y(-5) = 2 guaranteed to have a unique…

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Q: Blank 1 is movement of a side of a preimage parallel to that side with respect to one other fixed…

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Q: Let C be the shortest path that connects z to ri and /= J, (sinhz + 1)dz. Then O 1 cosh r+ n(1+) O…

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Q: Find to the the equation du green funclion corresponding pula)=fex) conditions U(o) =0 with and…

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Q: o what does it con s conditionally conv 1. onvergence for at is the radius of approximation of e √2,

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Q: and 3 point Gauss Quadrature 2 By using e sfim afe : 2 dx メ-2 い)S, dx Nx

A: The given problem is to estimate the integral using 2 point gauss quadrature rule and 3 point gauss…

Q: 16. Obtain the toigonometric fouries seajes for A fit) > wt 277

A: The given image is of sine wave form. Here, period T=πand so, w0=2πT=2ππ=π

Q: Prove that d (sec"x)= 1.

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Q: (a) Suppose x E Q with x # 0 and y E R – Q. Show that their product ry is irrational.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the exact lanth of the 4=1n (sec(x)), Odyct3

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Q: Prove that z'e'-z = 1 has exactly two roots inside the circle |z] = 1.

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Q: The area bounded by the curve y = 7x and the lines z= 2 and =9 above the z-aris is O 539.00 square…

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Q: 4. Find Rable With respect ho X and X is also iable nith respect b . a ssuming fhat Y is diffrent…

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Q: Consider the Taitral value problem b-)y (0)=1 what con you say about the existence ond uniqueress of…

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Q: 1. Do not use a theorem to find the ff. Z if yz? + z = 5xy – 1. %3D

A: In the multivariable function, if we have to find the partial derivative of one variable with…

Q: 1. Sketch the path C which is around the paths one from z = 3i to z = 2i and another from z = 2i to…

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Q: Consider (Ru) .f : R->R -3 X3o 3. X70 Prove Pex) is Con tinuos onR-301

A: Given that                                      f:R→Rf(x)=-3; x≤03    ; x>0 we have to prove that…

Q: 2. %3D be Centered in a batt co,ogo) andradies I 2. frove thet S-273R

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Q: 2, If fCx)=xInCx²+), find the ea uation for t4e tan9ent 1ine to fCx) at x= 3.Hint: Remember the…

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Q: 2- (a) Using [X, P] = ih, show that [X, PJ = 2ih& and [&, Þ³1= 2ihP. (b) Show that [, p2 = 2in(in +…

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Q: - Show that u(x,t) e-a't[A sin(2x) + B cos(Ax)] satisfies the PDE uz = a?uxx for arbitrary A, B and…

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Q: 12. What is the resulting image of L' after a reflection about the y-axis? Rule: K IN

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Q: Select all the Points through which a unique solution for the DE ,2 y? IS nySot eed by the Existence…

A: Given differential equation is y'=13-x2-y2

Q: show that fE Riemann [o,!] and Find f de

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Q: Let f(r, y, z) = In(x² + 2) + y?e - cos(2y2). Find feyr-.

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Q: Let C be the shortest path that connects a to ni and I = ſ, (sinhz + 1)dz. Then |=-1-cosh n+ n(i-1)…

A: First option is correct.

Q: Let C be the shortest path that connects n to ni and I = S. (sinhz + 1)dz. Then O I=-sinh n+ Ti(i-1)…

A: Option C true.

Q: I. Solve using De Moivre's Theorem. Given that z is not real number and z = 1, show that w = z-1 z+1

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