Use a definite integral to find the area under the curve between the given x-values. f(x) = 6 Make a sketch of the curve showing the region. 5 4 3 2 1 O y 6 5 4 3 2 1 O from x= 1 to x = 6 square units 1 1 2 3 2 3 4 4 5 6 6 2 1 1 2 3 4 5 6 2 1 O 1 2 3 4 5 X

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A: Here we have to plot a graph.

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A: fx=2x-2, gx=7-x2, fg-3

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Q: af Find and əx Əf dy 2 f(x,y) = √/2x² + y²

A: (1)  f(x,y)=2x2+y2for ∂y ∂x assume   y is constant ∂ ∂x(xn)=nxn-1∂ ∂x(x)=12x

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A: Given function:- u=3xyz

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Q: II. Get the transfer function of the differential equation: 2. y"+ 3y'+4y=x" - 2x²+x

A: Given :y''+3y'+4y=x''-2x'+x

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A: Detailed solutions are given below.

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Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

A: Topic - Parametric equation of line We are given A line passes through the points (-5,2,5) and…

Q: 4. Evaluate the right limit of the following function at t = 2 -2x + 1 x ≤ -2, x + 3 |x| f(x) =…

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A: To find the equilibrium point set the supply equal to demand and then  solve for p and q.

Q: The

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Q: II. Get the transfer function of the differential equation: 1. y"+ 7y" -8y' +4y=x" - 5x' +6x

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