17. Find the local minimum value of A(x) = f(t²- t)dt in [1,2]

Q: Calculate the linearization L of f(x) : 5e* at x = 1. x2 Express your answer in terms of e and x.

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Q: A. Show that f(x, y) = (x-1)(y-2) (x-1)²+(y-2)² 7 (x, y) = (1,2) (x, y) = (1,2) at (1,2). 1 is…

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Q: 8u F(u,v,w) = v+ 7w 8 Fu = v+ 7w

A: See the details solution in below

Q: Find the linearization L(x) of f (x) = tan x at a =

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

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Q: 13 Find the linearizatian z=L(x.y) f the function 2=f(x.y) =4x²-y²42y at the point (x.y) = (3,2).…

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Q: 26. Evaluate the gradint of f (x,y,₁z) = log (= ² + y² +₂²) at (1₁91)-11

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Q: Calculate the maximum and minimum of the function f (x,y) = xy subject to the condition x2 + y2 = 1

A: To find the optimal solution, we will use Lagrange multiplier method. The Lagrangian function is…

Q: Find the relative maximum or minimum value (if any) of f(x, y) = (x2 + y)ey/2

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Q: Let F(x) = x √ √2+1 dt. Find F"(1) 3

A: Given: F(x)=∫3x t2+1dt Leibniz integral rule for differentiation states that ddx∫a(x)b(x)…

Q: Use the Fundamental Theorem of Calculus Part I to find dh/dx given h(x) = cost dt (Hìnt: need…

A: Answer:  By fundamental theorem of calculus  Let fx=∫axbx gt. dt   dfdx=gbx.b'x-gax.a'x

Q: 1. Let F(t) = (e¹−¹ – ť², 3t² + 1, 4-5 lnt), G(1) = (-6, 1,0), and f(t) = cost. Evaluate: (a) (F-G)…

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Q: Transform the function y=(1)/(2)x right 6 and vertical shrink of (1)/(4)

A: The given function is y=12x. To transform the function rightwards by 6 units and to shrink…

Q: Let x2-3x f(x) = j At what value of xis x) a minimum? O I et² dt. -2 01/0 ساله 02 03

A: Given that a integration and we find value of x is f(x) minimum.

Q: Consider the function f(x, y) = xy² exp ( - 1/² + y ) 3 Compute the stationary points of the…

A: Given fx,y= xy2exp-x33+y

Q: Find the image of the line z =3 +iy under f(z) = e

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Q: show that the L operator is linear for y" – 4y" + 2y' + y = x2

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