f y(x,y)• aè'e³ defined on x and y positive x> y find P( (x+y)

Q: 1 (D²-3³e*f"(x) =e³* (x) (D² - 3) O O

A: If we take f(x) =x^3/6 then the equation doesnt hold

Q: OIf f(x) = x+45inx+CoS x then find g'l) and g"). (where g= f")

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Q: z + 2.5 -3 = Z

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Q: u(x) Let u(x) = sin(x) and v(x) = x4 and f(x) v(x) = (x),n u'(x) v'(x) =| u'v - uυ' f' = v2

A: From the given problem:   ux=sinx; vx=x14 & fx=uxvx   So,   u'x=dudx=dsinxdx=cosx…

Q: = f(x) g(x) If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = y 6…

A: The given graph of the functions is shown as,Let,Note:  As mentioned in the instruction, we are…

Q: f (x) = 2x -7 x* - > x - 2 critical points Find the

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Q: QI @ Find fx and fy for the following function: (i) f(x,y)=(x²-1)(y + 2) (ii) f(x,y)= ex+y+1 (iii)…

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Q: Q4: Find the derivative of the function at P, in the direction of A 2 1) f(x, y) = 2xy-3y², P.…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: The derivative of the function f(x) = elan(=) + Ve is

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Q: Find the partial derivative dz for the function z = cos(x³ +y²).

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Q: Vx -Vx x +0 R: Let f(x)=< Vx -1/r +e x=0 Show that f(x) is not differentiable at x = 0.

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Q: Using series solutions for ordinary differential equations solve the following differential…

A: To solve the given differential equations (with initial conditions) using power series and checking…

Q: Hanging cable. In a vertical xy-plane, the governing ODE of curve y(x) of a cable hanging between…

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Q: Find the range and domain of the functions (1) f (x, y) = sin-(y-x)

A: We'll answer the first question. Since the exact one hasn't specified. Please re-submit the question…

Q: f(x) If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) g(x) y 6 4 f…

A: From the given graph of f(x) and g(x), we have,f(x) = x+95, xt -1,7.As, f(x) is the equation of the…

Q: Find F

A: Given:

Q: Evaluate Exact error for Py (Y2) estimating f (Yz) where flx)= et, of degrée 4 atx=1) for fx)=ex…

A: In this question, we find the exact error in P4(1/2) here given that f(x)=ex and x=1 P4(x) is…

Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4).…

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Q: For the function f(x,y) = 5x - 6y - 6, find - of and

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Q: form of (x,५) ५ = 4 (x₁9) x = 4 y = f(x)

A: The given equations,We have to find the function that is equal to .

Q: Find y as a function of x if y" + 16y' = 0, y(0) = 0, y'(0) = 4, y'(0) = -32. y(x) =

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Q: 2xydx+(x^2)dy=0

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Q: 2. (5) Find f, for the function f(x, y) = sin (x + y²)

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Q: e function f m (0,0) to

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Q: QI] (A) If F(x+y-z.x² + y°)= 0_where := z(x, y) and+ 0 then prove x- =x-y

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Q: u(x) Let u(x) = sin() and v(x) a° and f(x) = %3D v(x)' u'(x) =| v'(x) = u'v - uυ' f' = v2

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