Find a norm of the function flt)= t+2t in space C^co13 %3D where normis given by formula ms x If'(t)I max Iflt)l+ O a. 4 O b. 7 O c. 8 O d. 10 O e. 3

Q: Differentiate f(w) = sinw + w²tan-1w

A: We have to find differentiation of given function.

Q: Let In, f be real fun ction on 52.Show {w : fu(w) yo frw) }=Ŭ o U {w-1fu(w) %3D f(w)1>と3

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Q: If z = x + jy, then O Check whether the function f(z) : 1 is an entire function. State the reasons.…

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Q: Q1) Find the canonical form of these question : a) f(x.y,z) =F=x' y' z+x y° z" +x y z b) f(x.y.z)…

A: We are given: f(x,y,z)=F=x'y''z+xy''z''+xyz We are given the standard Form. F=x'y''z+xy''z''+xyz…

Q: Differentiate the function. f(x) = sin(x) In(4x) f'(x) =

A: ddxu(x)v(x)=v(x)ddx(u(x))+u(x)ddx(v(x)) ddx(sin(x))=cosx ddx(ln(ax))=aax=1x…

Q: suppose

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Q: f:(-2,1]→[0,12] literal and overlapping function 12 if įs(x) dx = 13andſls*(x) đx =5 [f*(x) dx=? 10

A: Given :f:-2,1→0,12 literal and overlapping function.∫-21fxdx=13     →1∫06f-1xdx=5    →2To…

Q: Find the number of zeros of f(z) = z' + iz² – z + 2i in the upper half-plane.

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Q: Letf :Z→Zbedefinedbyf(x)=x^2 +1,and letC ={1,2,3}. Find f (C), f ^−1(C), f ^−1(f (C)) and f (f…

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Q: For the linear operator L = D^2 −4D + 8, determine L(y) for y = e^(2t), y = e^(2t)sin(2t), and y =…

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Q: Compute f, aL a2f and :f(x, y) = (x + y)(2x + y)² ax' ay дхду

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Q: Give one example that: 1. Show that 1/2 (x - x^T) is skew symmetric. 2. Give one example that:Show…

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Q: Q4/ Linearize the Function Z = XY2 About X, = 3, Y, = 6 using: a) Absolute Variables b) Perturbation…

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Q: Finel the ralves of a anel b such that the function aV5-x tb-1 it Hax cos(TT Ix) 9 +1+ b(x²-7)…

A: Note: There is an error in question, for the given function a has 2 values but it cannot be possible…

Q: Show that the function u(x,t) = t/2e-*/4 (t > 0) satisfies u, = uxx.

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Q: Use the Quadrature Rule Calculate I = S e2x dx using the 3-point Gaussian Quadrature method.

A: Given integral is I=∫03e2xdx

Q: b) g(x) = S,* In(2r + 1)dr

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Q: -1 A = 0 2) 0. x)T. F(e,) = ( 2

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Q: find the orthogonal trjectories of x=c^y^2

A: We need to find orthogonal trajectories.

Q: (b)* Show that Y' is closed.

A: Actually we shall show, closure of the set = the set. Then this set will be closed.

Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER f(x) =e5 "…

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Q: OD Findof the following functions: 1) e" = In(x²y) – y² + 2x* 2) y t = (2x – 3)²

A: Find the derivative of the following function

Q: 8) y = (x² + 3)ln 4x5 dy (x² + 3) · dx 2x² In 4x° + 5x² + 15 1 - 20x + In 4x³ · 2x 4x A) dy 2х + 1…

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Q: How.L Find minima, bmakima and Saddle paints for the functionss foxy) -9x -4 xy 3- %3D f Cx,y) = 2…

A: (3) the given function is fx,y=9x3+y33-4xy Now we have to find ∂f∂x,∂f∂y,∂2f∂x2,∂2f∂y2 and ∂2f∂x∂y

Q: We are given the following functions f : Z → Z × Z, f(x) = (x^2, x^3).  (a) Find images f({1, 2, 3})…

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Q: Differentiate the given function y = cosh(In(6x*)). 1 а) О Зг? + 4 x4 1 b) O 92? 4 x4 c) O 3z2 1 3x²…

A: Given function is y=cosh(ln6x3)

Q: Differentiate the function. (4t + 1)3 (5t – 1)4 F(t) = In F'(t) =

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Q: Determine the dependent variable independent variable type pde/ode order degree linearity

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Q: 1.16. (a) If f and g are differentiable scalar functions, show that V(fg)=fVg+gVf.

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Q: FG) ={(g6)) and 861)=2 Fing F'(2)

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Q: Let f(x, y, z) = x2 (e)^y/z. Compute f(-1, 0, 1), f(1, 3, 3), andf(5, -2, 2).

A: Let fx,y,z=x2eyz 1. we have to compute f(-1,0,1) as, fx,y,z=x2eyzHere x=-1, y=0,z=1f-1,0,1=-12e01=1…

Q: 6) y = e *(x* – 5) dy A) dx 5x² 10x + 4x3 = 21(5e* + 2x²) dy 5x2 B) = e* · 10x · 4x³ + e³* · 10x ·…

A: Let h(x) = f(g(x)) for all x, then by chain rule   h'(x)=f'(g(x))g'(x)  Also if h(x)= u(x)v(x)  Then…