Find dy any ay of Ay of y =f(x) = x² +x at x= 10 when ax =0.1.

Q: .3 If U = 2– x, | x 2-xdx=

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Q: Find all x-intercepts for the function f (x) = 4ª-1 – 2º+1 – 12.

A: To Determine: Find all x-intercept for the function f(x)=4x-1-2x+1-12 Given: we have a function…

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

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Q: iven function

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: Find dy of 67 2. 2. my

A: The given equation is   yx=x2+2y2+1(ln y)x The product rule for derivatives is expressed as…

Q: Suppose z = x + iy and f(z) = z - 1. Find w = u + iv such that f(w) = 1 + 3i (A) 3+2i (B) 3-2i (C)…

A: We have given that , fz = z - 1 , where , z = x + iy Here , w = u + iv Let , fw = 1 + 3i We need to…

Q: Find ƒx and ƒy when ƒ(x, y) = y8 + 2x6 + 2xy.

A: Given f(x,y)=y8+2x6+2xy For finding fx differentiate f(x,y) with respect to x fy differentiate…

Q: Determine if F = x²yî + (xyz +29)ĵ – x²y²k is conservative or not %3D

A: For vector field F⇀=ui^+vj^+wk^ Curl(F)=i^j^k^∂∂x∂∂y∂∂zuvw   For vector field F⇀ to be conservative…

Q: 3 1-x Find [, [* (x³ + y)dydx

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Q: Let f (x)=x* + 2.x³ – 3.x² – 4.x + 4. Find: (b).. the points at which f (x) has a relative maximum…

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Q: of of and ду Find f(x,y) = Vx + 3y?

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Q: Consumer A’s utility function is UA(x1,x2)=min(2x1,x2). Consumer B’s utility function is…

A: Given that - Consumer A’s utility function is UA(x1,x2)=min(2x1,x2). Consumer B’s utility function…

Q: Find the domain of the function f(x, y) = In(3x? – 2y + 1). The set of all ordered pairs (x. y) for…

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Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: 1 √x y³+1 2 Sőt. S²/E 0 dydx

A: We are given an integral. Our aim is to evaluate the integral ∫04∫x21y3+1dydx.

Q: Let f(x, y) = √175 – 3x² – 4y² Evaluate f(5,3)

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Q: Show that the given function is not analytic at any point but is differentiable along the indicated…

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Q: If z = f(x, y) and z4 – x² = x²y²z? əz Find: dx az and dz ie

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Q: Find fy(x,y) if f(x,y)= (x+y4) 5. fxy(x,y) =

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Q: Suppose that Y = Z - X is independent of Z and of X. Show that Y is a constant.

A: Given that Y=Z-X. To show: Y is a constant function.

Q: Write down the first order and second order conditions for maximum and minimum of a function y =…

A: Given,  Function y = f(x1, x2, x3,  .  .  .  , xn). To find the first order and second order…

Q: Find ƒx and ƒy when ƒ(x, y) = 3x2y + 2.

A: we have to find the derivative of the function f(x,y) = 3x2y + 2 w.r.t x and y

Q: Find M3 for f(x) = 4x + 7 over the interval [0,2]

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Q: f(x, y) = e* +xIny+ylnx

A: This question involves partial differentiation  Solved below

Q: Identify the removable discontinuity. f(x) =  x3 + 2x2  over  x + 2

A: Given query is to find identify the removable discontinuity.

Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative